Q: What are the prime factors of the number 5,671,625?

 A: 5, 17, 157

Why are those the prime factors of the number 5,671,625?

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 5,671,625

5,671,625
Factor Arrows
51,134,325
Factor Arrows
5226,865
Factor Arrows
545,373
Factor Arrows
172,669
Factor Arrows
17157

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:

5, 17, 157

We can check our work by multiplying all of the prime factors together: 5 x 5 x 5 x 17 x 17 x 157 = 5,671,625

This can also be written as 53 x 172 x 1571 = 5,671,625

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 5,671,625:


Ask a Question