Factors and Multiples
Math ⇒ Number and Operations
Factors and Multiples starts at 6 and continues till grade 12.
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See sample questions for grade 12
A number leaves a remainder of 2 when divided by 5. What is the remainder when the same number is divided by 10?
Explain the difference between a factor and a multiple.
Explain the Euclidean algorithm for finding the GCD of two numbers.
Explain why every number has a finite number of factors but an infinite number of multiples.
Find all the common factors of 36 and 48.
Find the least common multiple (LCM) of 18, 24, and 30.
Find the number of positive divisors of 120.
Given the set of numbers {18, 24, 36}, what is their greatest common divisor?
If a number is divisible by both 4 and 6, which of the following must it also be divisible by?
(1) 8
(2) 12
(3) 18
(4) 24
Which of the following is a common multiple of 7 and 9 less than 100?
(1) 56
(2) 63
(3) 72
(4) 84
Which of the following is NOT a factor of 144?
(1) 9
(2) 12
(3) 16
(4) 20
Which of the following numbers is a factor of 210?
(1) 11
(2) 14
(3) 17
(4) 25
Fill in the blank: The GCD of 0 and any nonzero integer n is _______.
Fill in the blank: The highest power of 2 that divides 120 is _______.
Fill in the blank: The product of the GCD and LCM of two numbers is equal to the _______ of the two numbers.
The greatest common divisor (GCD) of 84 and 120 is _______.
A number is called a perfect number if it is equal to the sum of its proper divisors. Is 28 a perfect number?
True or False: Every multiple of 12 is also a multiple of 6.
True or False: If a number is a multiple of 15, it must also be a multiple of 5.
True or False: The least common multiple of two prime numbers is always their product.
