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 10

Explain the difference between a factor and a multiple.

Explain why 0 is not considered a factor of any number.

Explain why every number is a factor of itself.

Find the highest common factor (HCF) of 56 and 98.

Find the LCM of 18, 24, and 30.

Find the least common multiple (LCM) of 8 and 12.

Find the sum of all factors of 12.

If a number is a multiple of 5 and 7, what is the least such number greater than 0?

If the HCF of two numbers is 1, what are such numbers called?

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

If the LCM of two numbers is 72 and one of the numbers is 8, what is the smallest possible value of the other number?

List all the factors of 45.

List all the multiples of 7 between 20 and 50.

A number n is such that it is a multiple of 8 and 15, but not a multiple of 12. What is the smallest possible value of n?

Find all positive integers less than 100 that have exactly 6 positive factors.

Given the set of numbers {24, 36, 54, 72}, which number has the greatest number of positive factors?

If the product of two positive integers is 180 and their greatest common divisor (GCD) is 6, what is their least common multiple (LCM)?

If the sum of all positive factors of a number n (excluding n itself) is equal to n, what is n called?

Let a and b be two positive integers such that their LCM is equal to their product. What can you say about a and b?

Prove that if a number is divisible by both 4 and 6, then it must also be divisible by their least common multiple.