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 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.

Find the smallest positive integer that has exactly 6 positive divisors.

Given the set of numbers {18, 24, 36}, what is their greatest common divisor?

If a and b are two positive integers such that their LCM is equal to their product, what can you say about a and b?

If n is a multiple of both 8 and 12, what is the smallest possible value of n?

If the LCM of two numbers is 60 and their GCD is 5, and one of the numbers is 15, what is the other number?

If the LCM of two numbers is 84 and their GCD is 7, and one of the numbers is 21, what is the other number?

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

If the sum of two numbers is 35 and their GCD is 7, what are the possible pairs of numbers?

List all the positive factors of 96.

Which of the following statements is true? (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 true.