Q: What are the prime factors of the number 132,827,085?

 A: 3, 5, 41, 71993

Why are those the prime factors of the number 132,827,085?

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 132,827,085

132,827,085
Factor Arrows
344,275,695
Factor Arrows
314,758,565
Factor Arrows
52,951,713
Factor Arrows
4171,993

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:

3, 5, 41, 71993

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 41 x 71,993 = 132,827,085

This can also be written as 32 x 51 x 411 x 71,9931 = 132,827,085

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


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