Q: What are the prime factors of the number 135,037,032?

 A: 2, 3, 13, 443, 977

Why are those the prime factors of the number 135,037,032?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 135,037,032

135,037,032
Factor Arrows
267,518,516
Factor Arrows
233,759,258
Factor Arrows
216,879,629
Factor Arrows
35,626,543
Factor Arrows
13432,811
Factor Arrows
443977

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 13, 443, 977

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 13 x 443 x 977 = 135,037,032

This can also be written as 23 x 31 x 131 x 4431 x 9771 = 135,037,032

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 135,037,032:


Ask a Question