Q: What are the prime factors of the number 210,322,215?

 A: 3, 5, 17, 274931

Why are those the prime factors of the number 210,322,215?

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 210,322,215

210,322,215
Factor Arrows
370,107,405
Factor Arrows
323,369,135
Factor Arrows
54,673,827
Factor Arrows
17274,931

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, 17, 274931

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 17 x 274,931 = 210,322,215

This can also be written as 32 x 51 x 171 x 274,9311 = 210,322,215

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 210,322,215:


Ask a Question