Q: What are the prime factors of the number 15,908,388?

 A: 2, 3, 79, 97, 173

Why are those the prime factors of the number 15,908,388?

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 15,908,388

15,908,388
Factor Arrows
27,954,194
Factor Arrows
23,977,097
Factor Arrows
31,325,699
Factor Arrows
7916,781
Factor Arrows
97173

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, 3, 79, 97, 173

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 79 x 97 x 173 = 15,908,388

This can also be written as 22 x 31 x 791 x 971 x 1731 = 15,908,388

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


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