Q: What are the prime factors of the number 125,517,730?

 A: 2, 5, 13, 47, 20543

Why are those the prime factors of the number 125,517,730?

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 125,517,730

125,517,730
Factor Arrows
262,758,865
Factor Arrows
512,551,773
Factor Arrows
13965,521
Factor Arrows
4720,543

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, 5, 13, 47, 20543

We can check our work by multiplying all of the prime factors together: 2 x 5 x 13 x 47 x 20,543 = 125,517,730

This can also be written as 21 x 51 x 131 x 471 x 20,5431 = 125,517,730

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


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