Q: What are the prime factors of the number 724,430,856?

 A: 2, 3, 1721, 17539

Why are those the prime factors of the number 724,430,856?

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 724,430,856

724,430,856
Factor Arrows
2362,215,428
Factor Arrows
2181,107,714
Factor Arrows
290,553,857
Factor Arrows
330,184,619
Factor Arrows
1,72117,539

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, 1721, 17539

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 1,721 x 17,539 = 724,430,856

This can also be written as 23 x 31 x 1,7211 x 17,5391 = 724,430,856

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 724,430,856:


Ask a Question