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 8

Explain how to find the GCF of two numbers using their prime factorization.

Explain the difference between a factor and a multiple.

Explain why every number is a multiple of itself.

Find all the common factors of 18 and 24.

Find the GCF of 42 and 56.

Find the GCF of 63 and 81.

Find the LCM of 14 and 20.

Find the LCM of 9, 12, and 15.

Find the smallest number that is divisible by both 8 and 12.

If a number is a multiple of 8, which of the following must also be true? (1) It is a multiple of 2 (2) It is a multiple of 4 (3) It is a multiple of 16 (4) It is a multiple of 3

If the GCF of two numbers is 1, what are these numbers called?

If the LCM of two numbers is 24 and one of the numbers is 8, what is the smallest possible value of the other number?

If the LCM of two numbers is 60 and their GCF is 5, what could the numbers be?

List all the factors of 30.

List all the factors of 45.

List the first five multiples of 11.

What is the highest common factor (HCF) of 18 and 27?

What is the least common multiple (LCM) of 4 and 6?

What is the smallest number that is a multiple of both 5 and 7?

Which of the following is a common multiple of 3 and 4? (1) 6 (2) 8 (3) 12 (4) 18