Q: What are the prime factors of the number 31,265,256?

 A: 2, 3, 11, 118429

Why are those the prime factors of the number 31,265,256?

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 31,265,256

31,265,256
Factor Arrows
215,632,628
Factor Arrows
27,816,314
Factor Arrows
23,908,157
Factor Arrows
31,302,719
Factor Arrows
11118,429

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, 11, 118429

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 11 x 118,429 = 31,265,256

This can also be written as 23 x 31 x 111 x 118,4291 = 31,265,256

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 31,265,256:


Ask a Question