Q: What are the prime factors of the number 176,591,916?

 A: 2, 3, 223, 21997

Why are those the prime factors of the number 176,591,916?

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 176,591,916

176,591,916
Factor Arrows
288,295,958
Factor Arrows
244,147,979
Factor Arrows
314,715,993
Factor Arrows
34,905,331
Factor Arrows
22321,997

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, 223, 21997

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 223 x 21,997 = 176,591,916

This can also be written as 22 x 32 x 2231 x 21,9971 = 176,591,916

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


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