Q: What are the prime factors of the number 170,336,850?

 A: 2, 3, 5, 23, 97, 509

Why are those the prime factors of the number 170,336,850?

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 170,336,850

170,336,850
Factor Arrows
285,168,425
Factor Arrows
328,389,475
Factor Arrows
55,677,895
Factor Arrows
51,135,579
Factor Arrows
2349,373
Factor Arrows
97509

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, 5, 23, 97, 509

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 23 x 97 x 509 = 170,336,850

This can also be written as 21 x 31 x 52 x 231 x 971 x 5091 = 170,336,850

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


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