Q: What are the prime factors of the number 432,024,165?

 A: 3, 5, 29, 163, 677

Why are those the prime factors of the number 432,024,165?

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 432,024,165

432,024,165
Factor Arrows
3144,008,055
Factor Arrows
348,002,685
Factor Arrows
316,000,895
Factor Arrows
53,200,179
Factor Arrows
29110,351
Factor Arrows
163677

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:

3, 5, 29, 163, 677

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 29 x 163 x 677 = 432,024,165

This can also be written as 33 x 51 x 291 x 1631 x 6771 = 432,024,165

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 432,024,165:


Ask a Question