Q: What are the prime factors of the number 162,513,170?

 A: 2, 5, 23, 83, 8513

Why are those the prime factors of the number 162,513,170?

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 162,513,170

162,513,170
Factor Arrows
281,256,585
Factor Arrows
516,251,317
Factor Arrows
23706,579
Factor Arrows
838,513

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, 23, 83, 8513

We can check our work by multiplying all of the prime factors together: 2 x 5 x 23 x 83 x 8,513 = 162,513,170

This can also be written as 21 x 51 x 231 x 831 x 8,5131 = 162,513,170

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


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