Q: What are the prime factors of the number 760,604,108?

 A: 2, 11, 139, 124363

Why are those the prime factors of the number 760,604,108?

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 760,604,108

760,604,108
Factor Arrows
2380,302,054
Factor Arrows
2190,151,027
Factor Arrows
1117,286,457
Factor Arrows
139124,363

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, 11, 139, 124363

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 139 x 124,363 = 760,604,108

This can also be written as 22 x 111 x 1391 x 124,3631 = 760,604,108

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


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