Question

What are all the factors of 144??

Answer 1

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Explanation:

144: 1x144

2x72

3x48

4x36

For a number to be divisible by 5, the number has to end in 5 or 0. 144 does not fit those requirements.

6x24

8x18

9x16

For a number to be divisible by 10, the number has to end in a 0 and 144 does not.

12x12

There are a few ways to know when there are no more different factors of a number. If the factors flip over, e.g., 1x144......144x1, then you stop because you're not going to write 1 and 144 as factors and then write 144 and 1 as other factors since they are the same numbers. Another way is when the factors repeat, e.g., 12x12. You're not going to write 12 as a factor twice, since they are the same number.

Answer 2

144 = 1 x 144, 2 x 72, 3 x 48, 4 x 36, 6 x 24, 8 x 18, 9 x 16, 12 x 12. Factors of 144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144.