Q: What are the prime factors of the number 15,602,679?

 A: 3, 43, 89, 151

Why are those the prime factors of the number 15,602,679?

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 15,602,679

15,602,679
Factor Arrows
35,200,893
Factor Arrows
31,733,631
Factor Arrows
3577,877
Factor Arrows
4313,439
Factor Arrows
89151

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, 43, 89, 151

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 43 x 89 x 151 = 15,602,679

This can also be written as 33 x 431 x 891 x 1511 = 15,602,679

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


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