Q: What are the prime factors of the number 13,498,179?

 A: 3, 487, 9239

Why are those the prime factors of the number 13,498,179?

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 13,498,179

13,498,179
Factor Arrows
34,499,393
Factor Arrows
4879,239

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, 487, 9239

We can check our work by multiplying all of the prime factors together: 3 x 487 x 9,239 = 13,498,179

This can also be written as 31 x 4871 x 9,2391 = 13,498,179

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


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