Q: What are the prime factors of the number 31,205,504?

 A: 2, 11, 37, 599

Why are those the prime factors of the number 31,205,504?

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 31,205,504

31,205,504
Factor Arrows
215,602,752
Factor Arrows
27,801,376
Factor Arrows
23,900,688
Factor Arrows
21,950,344
Factor Arrows
2975,172
Factor Arrows
2487,586
Factor Arrows
2243,793
Factor Arrows
1122,163
Factor Arrows
37599

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, 11, 37, 599

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 11 x 37 x 599 = 31,205,504

This can also be written as 27 x 111 x 371 x 5991 = 31,205,504

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 31,205,504:


Ask a Question