Factors and Multiples

Math ⇒ Number and Operations

Factors and Multiples starts at 6 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Factors and Multiples. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

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?

If the prime factorization of a number is 2³ × 3² × 5, how many positive divisors does it have?

If the product of two numbers is 180 and their GCD is 6, what is their LCM?

List all the positive factors of 45.

What is the least common multiple (LCM) of 8, 12, and 18?

What is the smallest positive integer that is a multiple of both 9 and 12?

Which of the following numbers has exactly 4 positive factors? (1) 6 (2) 8 (3) 10 (4) 15

Which of the following statements is correct? (1) Every factor of a number is less than or equal to the number. (2) Every multiple of a number is less than or equal to the number. (3) Every number is a factor of its multiples. (4) Both (1) and (3) are correct.

A positive integer n leaves a remainder of 1 when divided by 2, 3, and 4. What is the smallest such n greater than 10?

Find all positive integers less than 100 that are multiples of both 6 and 9 but not multiples of 18.

If a number n is divisible by both 8 and 15, what is the smallest possible value of n?

If the LCM of two numbers is equal to their product, what can you say about the two numbers?