Q: What are the prime factors of the number 176,755,624?

 A: 2, 157, 140729

Why are those the prime factors of the number 176,755,624?

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 176,755,624

176,755,624
Factor Arrows
288,377,812
Factor Arrows
244,188,906
Factor Arrows
222,094,453
Factor Arrows
157140,729

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, 157, 140729

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 157 x 140,729 = 176,755,624

This can also be written as 23 x 1571 x 140,7291 = 176,755,624

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


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