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Delves into the fundamental concepts and properties of numbers, divisibility, and modular arithmetic, laying the foundation for advanced mathematical study.
The factors of 30 in the factor tree are
The following numbers are coprime of 34, EXCEPT:
Which of the following are the prime factors of 360?
The expressions below have a solution of 12, EXCEPT:
24 mod 3 = ?
Which of the following are the prime factors of 234?
What must be the last digit of a number to make it divisible by 10?
An exponential function has a fixed base that is raised to a variable.
If a number is divisible by 31, multiply the last number to 3 and subtract from the remaining number. Repeat the steps if necessary.
Which of the following numbers below is the GCD of 48 and 60?
Complete the expression '53 = 125 = 14 (mod ___ )'
What is the remainder if you apply the Euclidean Algorithm to 10 465 and 3 553?
Which of the following expressions is below is correct?
If the last two digits of a number are divisible by 4, then that number is a multiple of 4 and is divisible by 4 completely.
What is the value of 216 + 1? Is it a Fermat Number?
Which of the following is the prime factorization of 328?
The solution to 96 modulo 32 is _________.
-74 mod 8 = ?
Based on the given factor tree, what is the unknown number?
1890 is divisible by 9.
Write all the multiples of 6 between 4 and 40.
Which of the following is the correct way to find the prime factorization of 24?
Listed below are three numbers that are composite. Which is not?
Find the Greatest Common Divisor. Apply any method: 244 and 260
The following are the other quadratic residues of modulo 28, EXCEPT:
Complete the expression =E2=80=98 __13 = 1,594,323 = 819 (mod 1584)=E2=80=99.
The prime factors of 420 are 2, 3, 5 and ____.
Which of the following is a coprime of 385?
Find the Least Common Multiple: 2 and 3
The numbers 2, 2, 2, 3, 3, 5, 7, and 11 are the factors of what number?
What are the unknown numbers in the factor tree?
If the integers 5, 3, -4, 7, -10, 8, and -5 are arranged in order from least to greatest which integer would come first in the list.
_________ is defined as the remainder of the bn less the modulo.
Using Euclidean Algorithm, determine the remainder of 1 515 and 705
4199 is divisible by 23.
The solution of the statement 231 =E2=80=93 1 = ____.
-46 mod 5 = ?
How many factors does 421 have?
What must be the value of g, in the formula 2g =E2=80=93 1 = 8 191, to make it correct?
35 modulo 7 = ?
Which of the following number below is a Mersenne Prime?
Find the Greatest Common Divisor: 265 and 190
Write all the multiples of 17 between 70 and 160.
Which expression has the greatest value?
37 mod 4 = ?
Using the function f(x) = -xk, if x = 0 and k is a negative integer then it is an example of singularity.
All of the numbers below have an answer of 4, EXCEPT:
Which solution is correct from the given factor tree below?
Find the Least Common Multiple: 3 and 11
What must be the missing value of the expression to make it correct? 76 = 117 649 = ___ (mod 3)
Using the formula of Mersenne prime 2d =E2=80=93 1, if d = 17, the value is
Find the Least Common Multiple: 6 and 14
Which of the following is the correct way to write the set notation of factors of 56?
If a number is divisible by 23, multiply the last digit of the given number to 7 and add the remaining number. Repeat the steps if necessary.
1890 is divisible by 3.
Which of the following is a coprime of 483?
-35 mod 7 = ?
Which solution is from the given factor tree below?
Find the Greatest Common Divisor. Apply any method: 3425 and 4520
Which of the following expressions below is INCORRECT?
Which of the following prime numbers below is a Mersenne Prime?
What is the remainder of 23 069 and 20 069 when you use the Euclidean Algorithm?
The missing value of the expression 39 = 19 683 = 6 (mod __).
Find TWO common multiples of the given numbers: 8 and 9
The primitive root of mod 60 using 11 as one of the primitive roots is
The number of multiples of 6 from 20 to 50 is ________.
Which of the following pairs of numbers has a remainder of 2?
Find TWO common multiples of the given numbers: 2 and 5
If we substitute 7 for s, from the formula 2s + 1, then the answer is ____.
-87 mod 6 = ?
All numbers below are divisible by 3 except
Double the last digit of the given number and subtract it from the remaining number excluding the last digit. This rule applies in
The following are the quadratic non residue of modulo 27, EXCEPT
Find the Least Common Multiple: 2 and 7
The following are the multiples of 2, 3, and 7, EXCEPT:
Which of the following is the quadratic non residue of modulo 28?
-119 mod 16 = ?
Find the Greatest Common Divisor: 420 and 315
Find the Greatest Common Divisor. Apply any method: 178 and 150
The price of gasoline decline Php 140 over a one week period. If the rate decrease was spread equally over the week, how much did the price of gasoline decrease in one day?
Find the Greatest Common Divisor: 210 and 320
What must be the value k to make the function f(x) = -3xk equal to -3?
The following are the quadratic non residue of modulo 28, EXCEPT
Find the Greatest Common Divisor: 469 and 357
The following are sets of integers, EXCEPT
The _____________ is the modulo of a certain number.
From the given numbers below, _______ is the coprime of 143.
If k is less than 0 where k is not an integer, then f(0) is undefined and it has no y-intercepts.
The expressions below have a solution of 10.
The factors of 270 with the most times repeated is
Find the Least Common Multiple: 4 and 15
Using the Fermat number 2s + 1, find the value using s = 2.
4199 is divisible by 19.
Find the Greatest Common Divisor. Apply any method: 4250 and 2530
Find the Greatest Common Divisor. Apply any method: 125 and 275
Which of the following numbers is divisible by 47?
4199 is divisible by 11.
Find the Greatest Common Divisor. Apply any method: 1800 and 2300
1890 is divisible by 5.
Which of the following is the way to find the prime factorization of 24?
What is the product of the prime factors 2,2 and 53?
The factors of 355 are ____ numbers.
From the given numbers, which number has more number of factors?
The number of divisor of a certain integer is being added.
Using Euclidean Algorithm, determine the remainder of 1541 and 897
42 mod 5 = ?
Which expression has a value different from the others?
Which of the following operations results in a difference?
The factors of the number is 25 x 32 x 37. What is the number?
Complete the statement: 252 = 625 = ___ (mod 28).
Complete the expression '27 = 128 = ___ (mod 63)'
1890 is divisible by 7.
Complete the mathematical statement: 22^2 = ____ = 25 (mod 27).
The LCM of 2, 3, and 6 is _______.
All numbers are coprime of 385, EXCEPT:
Which of the following is the solution of the expression 23 x 52 x 7?
What is the primitive root of mod 75 using 7 as one of its coprimes?
129 mod 13 = ?
Complete the expression =E2=80=9953 = 125 = 14 (mod ___ )=E2=80=99
-78 mod 8 = ?
Given: 202 = 400 = 22 (mod ___), what must be the value of the unknown?
Which of the following numbers below is the LCM of 7 and 10?
Which list below are the numbers arranged in order from greatest to smallest?
The following numbers are all Fermat numbers, EXCEPT:
The primitive root of mod 60 using 11 as one of the primitive root is
The value of p in the expression 2p =E2=80=93 1 = 524 287 is ______.
The Greek letter t is used in finding the divisor function.
Using Prime Factorization, what is the value of 23 x 32 x 5 x 11?
In a power function the base is a variable and raised to a fixed exponent.
Describe the value k of the function f(x) = 5xk, so that the answer is a fraction?
The least common multiple of 9 and 12 is __________.
Which of the following numbers that can be presented using exponents in factorization?
1890 is divisible by 2.
Find the Greatest Common Divisor. Apply any method: 899 and 760
From the given numbers below, _______ is the coprime of 286?
The following pairs below shows an example of fundamental theorem of arithmetic, EXCEPT:
If a number is divisible by 37, multiply 11 to the last digit minus the remaining number. Repeat the steps if necessary.
Which of the following numbers below is the answer to 43 modulo 5?
Write all the multiples of 8 between 3 and 100.
Write all the multiples of 12 between 20 and 150
The following expressions are , EXCEPT:
Find the Greatest Common Divisor: 352 and 41
Complete the statement: 152 = 225 = ___ (mod 27).
Find the Greatest Common Divisor. Apply any method: 500, 600 and 700
4199 is divisible by 13.
If you substitute a negative integer to the exponent of a power function, then the answer is _____________.
Which of the following expressions is correct?
Using s = 2, in the Fermat formula 2s + 1, is the answer a Fermat number?
Complete the mathematical statement: 142 = ____ = 0 (mod 28)
What is the value of f(x) = 2xk, if k = 2.
Which of the following pairs of numbers below shows the properties of relatively prime?
What are the primitive roots of mod 209 using coprimes 7, 11, and 13 and base 2?
How many divisors does 12 have?
Which of the following pair of numbers has a greatest common divisor of 159?
Using Euclidean Algorithm, determine the remainder of 703 and 259
The largest factor of 279 is
What is the greatest common factor of 36 848 and 77 080?
83 mod 7 = ?
-60 mod 3 = ?
Which of the following are the prime factors of 3024?
Given: 22 = 4 = 32 (mod ___), what must be the value of the unknown?
Using the Mersenne Primes, if you apply 23, the value is ______.
4199 is divisible by 17.
Given: 162 = 256 = ___ (mod 27), what must be the value of the unknown?
A number is divisible by 2 and 3. Thus it is also divisible by 6.
Base on the given factor tree, what numbers should be written inside the boxes?
=E2=80=9CIf a number is divisible by _________, multiply 3 to the last digit then add the remaining number. Repeat the steps if necessary.=E2=80=9D This rule applies in
The modulo of a certain number is obtained by
The numbers below are coprime, EXCEPT:
What must be the value of the unknown if, 182 = 324 = ___ (mod 27)?
The factors of 14 in the factor tree are 7 and ____.
Which of the following pairs of numbers shows a fundamental theorem of arithmetic?
Find the Greatest Common Divisor. Apply any method: 78 and 96
Which of the following pairs of numbers has a remainder of 8?
What is the primitive root of mod 75 using 7 as one of its coprime?
What is the remainder if we use Euclidean Algorithm between 55, 230 and 3, 985?
Using Euclidean Algorithm, determine the remainder of 8 420 and 3 020
Simplify the expression 32 x 52 x 7 = ?
If a number is divisible by 43, multiply 13 to the last digit of the number and add to the remaining number. Repeat steps if necessary.
Which of the following numbers below is a factor that is common to 120 and 42?
Which among the numbers below is equal to 38 mod 9?
What must be the value of the last digit of 23, 31__ to make it divisible by 5?
In mod 33, using 2, 3, and 5 as coprimes and base 5, the primitive roots are 8, ____, and ____.
If a number is divisible by 47, multiply 14 to the last digit of the number and add from the remaining number. Repeat the steps if necessary.
Which of the following pairs of numbers below have the LEAST number of common multiples from 1 to 30?
Which of the following is the way to write the set notation of factors of 56?
The following pairs of numbers has a GCD of 31, EXCEPT:
Which of the following is the quadratic non residue of modulo 27?
Which of the following is the first step to find the answer in 59 mod 5?
The following are the primitive roots of mod 50 base 2, EXCEPT:
88 mod 9 = ?
Find TWO common multiples of the given numbers: 3 and 4
The primitive roots of mod 55 using coprimes 5, 7, and 11 using base 3 are 23, 42, and ____.
If we substitute 7 for s, from the formula 2s + 1, then the answer is ____. Is the answer a Fermat number?
What must be the value of the missing value of the expression 213 = 8 192 = 2 (mod __ ) to make it correct?
Three of the numbers below are divisible by 13, 15 and 17. Which is NOT?
All numbers are divisible by 1.
Using the formula of Mersenne prime 2k =E2=80=93 1, if k = 11, the value is
Which of the following is a prime number?
Find the Least Common Multiple: 10, 12 and 15
The following are the multiples of 3 and 5, EXCEPT:
Find the Greatest Common Divisor: 36 and 99
A Fermat Number is a prime number that follows the form of 2s + 1.
What is the value of the expression -5 + 5 + (-12)?
____ mod 9 = 5
Which of the following is the next step to find the remainder of 10,465 and 3,553?10 465 = 3 553(2) + 3 359 3 553 = 3 359(1) + 194 3 359 = 194(17) + 61
The following are the factors of 72, EXCEPT:
Which of the following form shows a power function?
Find the Least Common Multiple: 4, 8 and 10
Find the Greatest Common Divisor: 624 and 516
Using Euclidean Algorithm, determine the remainder of 18476 and 2636
75 mod 6 = ?
What is the GCD of 108 and 81?
If you substitute 5 to the Fermat form, the answer is ________?
If you obtain the factors of 444, the largest prime number is
Which of the following pairs of numbers has a remainder of 13?
The following are the quadratic residue of modulo 27 , EXCEPT
The expressions below are all , EXCEPT:
What must be the value of the unknown if, ___ = 36 = 8 (mod 28)?
Find the Greatest Common Divisor: 976 and 696
Find the Greatest Common Divisor. Apply any method: 366 and 420
The GCD of 90 and 105 is ________.
Johnny borrowed money from his brother 10 months ago. He returned Php 1000.00 per month to his brother starting the month he borrowed the money. Currently, he owes his brother Php 5,000.00. How much money did he borrow from his brother?
Find TWO common multiples of the given numbers: 4 and 5
Find the Greatest Common Divisor: 77 and 121
The following are the numbers you can multiply to produce the fundamental theorem of arithmetic, EXCEPT:
Find the Greatest Common Divisor: 138 and 224
25 mod 5 = ?
What must be the value of the unknown if, 112 = 121 = ___ (mod 28)?
The following expressions are correct, EXCEPT:
Complete the expression =E2=80=98 __13 = 1,594,323 = 819 (mod 1584)=E2=80=99
In finding the answer in 59 mod 5, the usual last step of congruence modulo is
The numbers below are the common factors of 30 and 45, EXCEPT:
If one of the factor of 420 is 14, the other one is____.
What must be the missing value of the expression to make it ? 76 = 117 649 = ___ (mod 3)
What must be the value of the unknown if, ___ = 64 = 10 (mod 27)?
The rules in obtaining the divisibility of 3 is
How many primitive roots below 100 does 421 have if the coprimes are between 5 and 11, using 3 as base?
Which of the following is the prime factor of 81, 141?
A power function has a fixed __________.
If the values of k are odd integers, thus the function has a certain symmetry.
Which of the following pairs of numbers has a remainder of 5?
The factors of 300 are the prime numbers 2, 3 and 5. Which of the following numbers appears twice?
-94 mod ____ = 8
Find the Least Common Multiple: 5 and 7
Which of the following numbers below is divisible by 2, 3, 5, and 7?
Which of the following pairs of numbers has a remainder of 12?
IF a number is divisible by _________, multiply 3 to the last digit then add the remaining number Repeat the steps if necessary This rule applies in
The following are the other quadratic residues of modulo 28 , EXCEPT
The following are the multiples of 12 between 120 and 450, EXCEPT?
The Fermat form is in the form __________.
The factors of 12 from the given factor tree are 3 and ____.
The symbol sigma is used to determine the sum of the given objects.
Find TWO common multiples of the given numbers: 5 and 11
What must be the value of the last digit of 3, 45__ to make it divisible by 8?
Complete the expression =E2=80=9927 = 128 = ___ (mod 63)=E2=80=99
The expressions below are all correct, EXCEPT:
Write all the multiples of 7 between 5 and 50.
The following are the divisors of 60, EXCEPT:
The number with the most numbers of multiples between 5 and 35 below is _________.
Which of the following is the LCM of 12 and 15?
Find the Least Common Multiple: 3 and 7
Power function is presented in the form f(x) = abc.
Find the Least Common Multiple: 4, 6 and 8
If a number is divisible by 11, the last 3 digits must be divisible by 11.
The greatest common divisor of 19,342 and 2,766 is ______.
The following are the quadratic residue of modulo 28 , EXCEPT
-60 mod ___ = 0
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