Q: What are the prime factors of the number 572,625,630?

 A: 2, 3, 5, 317, 20071

Why are those the prime factors of the number 572,625,630?

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 572,625,630

572,625,630
Factor Arrows
2286,312,815
Factor Arrows
395,437,605
Factor Arrows
331,812,535
Factor Arrows
56,362,507
Factor Arrows
31720,071

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, 5, 317, 20071

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 317 x 20,071 = 572,625,630

This can also be written as 21 x 32 x 51 x 3171 x 20,0711 = 572,625,630

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 572,625,630:


Ask a Question