Q: What are the prime factors of the number 172,160?

 A: 2, 5, 269

Why are those the prime factors of the number 172,160?

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 172,160

172,160
Factor Arrows
286,080
Factor Arrows
243,040
Factor Arrows
221,520
Factor Arrows
210,760
Factor Arrows
25,380
Factor Arrows
22,690
Factor Arrows
21,345
Factor Arrows
5269

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, 269

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 269 = 172,160

This can also be written as 27 x 51 x 2691 = 172,160

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


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