Q: What are the prime factors of the number 127,535,046?

 A: 2, 3, 23, 619, 1493

Why are those the prime factors of the number 127,535,046?

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 127,535,046

127,535,046
Factor Arrows
263,767,523
Factor Arrows
321,255,841
Factor Arrows
23924,167
Factor Arrows
6191,493

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, 3, 23, 619, 1493

We can check our work by multiplying all of the prime factors together: 2 x 3 x 23 x 619 x 1,493 = 127,535,046

This can also be written as 21 x 31 x 231 x 6191 x 1,4931 = 127,535,046

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


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