Q: What are the prime factors of the number 15,167,565?

 A: 3, 5, 7, 179, 269

Why are those the prime factors of the number 15,167,565?

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 15,167,565

15,167,565
Factor Arrows
35,055,855
Factor Arrows
31,685,285
Factor Arrows
5337,057
Factor Arrows
748,151
Factor Arrows
179269

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, 7, 179, 269

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 7 x 179 x 269 = 15,167,565

This can also be written as 32 x 51 x 71 x 1791 x 2691 = 15,167,565

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


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