Q: What are the prime factors of the number 168,366,170?

 A: 2, 5, 7, 29, 82939

Why are those the prime factors of the number 168,366,170?

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 168,366,170

168,366,170
Factor Arrows
284,183,085
Factor Arrows
516,836,617
Factor Arrows
72,405,231
Factor Arrows
2982,939

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, 5, 7, 29, 82939

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 29 x 82,939 = 168,366,170

This can also be written as 21 x 51 x 71 x 291 x 82,9391 = 168,366,170

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


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