Q: What are the prime factors of the number 127,386,428?

 A: 2, 13, 59, 41521

Why are those the prime factors of the number 127,386,428?

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 127,386,428

127,386,428
Factor Arrows
263,693,214
Factor Arrows
231,846,607
Factor Arrows
132,449,739
Factor Arrows
5941,521

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, 13, 59, 41521

We can check our work by multiplying all of the prime factors together: 2 x 2 x 13 x 59 x 41,521 = 127,386,428

This can also be written as 22 x 131 x 591 x 41,5211 = 127,386,428

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


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