Q: What are the prime factors of the number 607,064,332?

 A: 2, 7, 53, 58439

Why are those the prime factors of the number 607,064,332?

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 607,064,332

607,064,332
Factor Arrows
2303,532,166
Factor Arrows
2151,766,083
Factor Arrows
721,680,869
Factor Arrows
73,097,267
Factor Arrows
5358,439

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, 7, 53, 58439

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 7 x 53 x 58,439 = 607,064,332

This can also be written as 22 x 72 x 531 x 58,4391 = 607,064,332

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 607,064,332:


Ask a Question