Q: What are the prime factors of the number 176,066,568?

 A: 2, 3, 815123

Why are those the prime factors of the number 176,066,568?

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 176,066,568

176,066,568
Factor Arrows
288,033,284
Factor Arrows
244,016,642
Factor Arrows
222,008,321
Factor Arrows
37,336,107
Factor Arrows
32,445,369
Factor Arrows
3815,123

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, 815123

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 815,123 = 176,066,568

This can also be written as 23 x 33 x 815,1231 = 176,066,568

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


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