Q: What are the prime factors of the number 202,202,217?

 A: 3, 7, 1069853

Why are those the prime factors of the number 202,202,217?

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 202,202,217

202,202,217
Factor Arrows
367,400,739
Factor Arrows
322,466,913
Factor Arrows
37,488,971
Factor Arrows
71,069,853

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, 7, 1069853

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 7 x 1,069,853 = 202,202,217

This can also be written as 33 x 71 x 1,069,8531 = 202,202,217

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 202,202,217:


Ask a Question