Q: What are the prime factors of the number 17,613,315?

 A: 3, 5, 130469

Why are those the prime factors of the number 17,613,315?

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 17,613,315

17,613,315
Factor Arrows
35,871,105
Factor Arrows
31,957,035
Factor Arrows
3652,345
Factor Arrows
5130,469

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, 130469

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 130,469 = 17,613,315

This can also be written as 33 x 51 x 130,4691 = 17,613,315

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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