Q: What are the prime factors of the number 170,588,943?

 A: 3, 7, 128941

Why are those the prime factors of the number 170,588,943?

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 170,588,943

170,588,943
Factor Arrows
356,862,981
Factor Arrows
318,954,327
Factor Arrows
36,318,109
Factor Arrows
7902,587
Factor Arrows
7128,941

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, 7, 128941

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 7 x 7 x 128,941 = 170,588,943

This can also be written as 33 x 72 x 128,9411 = 170,588,943

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


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