Q: What are the prime factors of the number 17,282,175?

 A: 3, 5, 131, 1759

Why are those the prime factors of the number 17,282,175?

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 17,282,175

17,282,175
Factor Arrows
35,760,725
Factor Arrows
51,152,145
Factor Arrows
5230,429
Factor Arrows
1311,759

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, 131, 1759

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 131 x 1,759 = 17,282,175

This can also be written as 31 x 52 x 1311 x 1,7591 = 17,282,175

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 17,282,175:


Ask a Question