Q: What are the prime factors of the number 40,215,625?

 A: 5, 17, 757

Why are those the prime factors of the number 40,215,625?

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 40,215,625

40,215,625
Factor Arrows
58,043,125
Factor Arrows
51,608,625
Factor Arrows
5321,725
Factor Arrows
564,345
Factor Arrows
512,869
Factor Arrows
17757

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, 757

We can check our work by multiplying all of the prime factors together: 5 x 5 x 5 x 5 x 5 x 17 x 757 = 40,215,625

This can also be written as 55 x 171 x 7571 = 40,215,625

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 40,215,625:


Ask a Question