Q: What are the prime factors of the number 13,590,370?

 A: 2, 5, 79, 17203

Why are those the prime factors of the number 13,590,370?

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 13,590,370

13,590,370
Factor Arrows
26,795,185
Factor Arrows
51,359,037
Factor Arrows
7917,203

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:

2, 5, 79, 17203

We can check our work by multiplying all of the prime factors together: 2 x 5 x 79 x 17,203 = 13,590,370

This can also be written as 21 x 51 x 791 x 17,2031 = 13,590,370

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


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