Q: What are the prime factors of the number 127,758,813?

 A: 3, 7, 13, 23, 20347

Why are those the prime factors of the number 127,758,813?

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 127,758,813

127,758,813
Factor Arrows
342,586,271
Factor Arrows
76,083,753
Factor Arrows
13467,981
Factor Arrows
2320,347

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, 7, 13, 23, 20347

We can check our work by multiplying all of the prime factors together: 3 x 7 x 13 x 23 x 20,347 = 127,758,813

This can also be written as 31 x 71 x 131 x 231 x 20,3471 = 127,758,813

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


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