Q: What are the prime factors of the number 507,234,504?

 A: 2, 3, 7, 3019253

Why are those the prime factors of the number 507,234,504?

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 507,234,504

507,234,504
Factor Arrows
2253,617,252
Factor Arrows
2126,808,626
Factor Arrows
263,404,313
Factor Arrows
321,134,771
Factor Arrows
73,019,253

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, 7, 3019253

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 7 x 3,019,253 = 507,234,504

This can also be written as 23 x 31 x 71 x 3,019,2531 = 507,234,504

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 507,234,504:


Ask a Question