What is the difference between multiples and factors?

when we talk about multiples and factors we are talking about whole numbers.

I’m going to choose 24 just because it has a nice selection of factors.

A factor of 24: A whole number that has a whole number that pairs up with it so it’s product is 24.

1x24

2x12

3x8

4x6

Those are all factors of 24, 1,2,3,4,6,8, 12, 24.

All factors must be whole numbers.

Multiples of 24 would be 24, 48, 72, 96, 120, 144......

since

24=1x24

48= 2x24

72=3x24

96=4x24

it is just the product of a whole number by the number you’re working with.

A multiple is a number that can be divided by another number a certain number of times without a remainder. A factor is one of two or more numbers that divides a given number without a remainder