Q: What are the prime factors of the number 170,324?

 A: 2, 7, 11, 79

Why are those the prime factors of the number 170,324?

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 170,324

170,324
Factor Arrows
285,162
Factor Arrows
242,581
Factor Arrows
76,083
Factor Arrows
7869
Factor Arrows
1179

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, 7, 11, 79

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 7 x 11 x 79 = 170,324

This can also be written as 22 x 72 x 111 x 791 = 170,324

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


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