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 11
Explain the difference between a factor and a multiple.
Explain why every number is a factor of itself.
Find all the common factors of 24 and 36.
Find the GCD of 252 and 105.
Find the highest power of 2 that divides 120.
Find the least positive integer which when divided by 3, 4, and 5 leaves a remainder of 2 in each case.
Find the number of positive divisors of 72.
If the LCM of two numbers is 120 and their GCD is 4, and one of the numbers is 20, what is the other number?
If the LCM of two numbers is 180 and their GCD is 6, and one of the numbers is 30, what is the other number?
Which of the following is a common multiple of 4 and 6?
(1) 10
(2) 12
(3) 16
(4) 18
Which of the following is NOT a multiple of 15?
(1) 30
(2) 45
(3) 55
(4) 75
Which of the following numbers has exactly 4 positive factors?
(1) 6
(2) 8
(3) 10
(4) 15
Which of the following numbers is a factor of 84?
(1) 7
(2) 9
(3) 13
(4) 17
If a and b are two positive integers such that a divides b, then the GCD of a and b is _______.
The greatest common divisor (GCD) of 36 and 60 is _______.
The sum of all positive factors of 18 is _______.
A number is called a perfect number if it is equal to the sum of its proper divisors. Is 28 a perfect number?
A number is divisible by 9 if the sum of its digits is a multiple of 9. True or False?
A number leaves a remainder of 2 when divided by 5. Is it a multiple of 5?
If a number is divisible by both 2 and 3, must it be divisible by 6?
