Question

Three friends are discussing factors and multiples of a number.

Rony said “Multiples are always smaller than the factors of a number.”
Sam said “Factors are always greater than the multiples of a number.”
Anne said “Multiples are always greater than or equal to the factors of a number.”

Who is correct?

• A. Rony
• B. Anne
• C. None of them is correct.
• D. Sam

Answer 1

The correct option is B Anne

We know that:
Numbers that divide a number completely, are called factors of the given number.
A multiple of a number is a number that is the product of a given number and some other natural number.

Also, every number is a factor of itself.

For example, factors of 12 are 1, 2, 3, 4, 6, and 12.
Multiples of 12 are 12, 24, 36, 48, and so on.
Here, we can see that the factors of 12 are always less than or equal to 12, and its multiples are always greater than or equal to 12.

Hence, Anne's point, “Multiples are always greater than or equal to the factors of a number.” is correct.