Q: What are the prime factors of the number 18,700,956?

 A: 2, 3, 57719

Why are those the prime factors of the number 18,700,956?

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 18,700,956

18,700,956
Factor Arrows
29,350,478
Factor Arrows
24,675,239
Factor Arrows
31,558,413
Factor Arrows
3519,471
Factor Arrows
3173,157
Factor Arrows
357,719

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, 57719

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 57,719 = 18,700,956

This can also be written as 22 x 34 x 57,7191 = 18,700,956

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


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