Q: What are the prime factors of the number 870,018?

 A: 2, 3, 37, 3919

Why are those the prime factors of the number 870,018?

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 870,018

870,018
Factor Arrows
2435,009
Factor Arrows
3145,003
Factor Arrows
373,919

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, 37, 3919

We can check our work by multiplying all of the prime factors together: 2 x 3 x 37 x 3,919 = 870,018

This can also be written as 21 x 31 x 371 x 3,9191 = 870,018

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


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