Q: What are the prime factors of the number 176,610?

 A: 2, 3, 5, 7, 29

Why are those the prime factors of the number 176,610?

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 176,610

176,610
Factor Arrows
288,305
Factor Arrows
329,435
Factor Arrows
55,887
Factor Arrows
7841
Factor Arrows
2929

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, 7, 29

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 7 x 29 x 29 = 176,610

This can also be written as 21 x 31 x 51 x 71 x 292 = 176,610

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


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