Q: What are the prime factors of the number 124,523,355?

 A: 3, 5, 11, 41, 79, 233

Why are those the prime factors of the number 124,523,355?

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 124,523,355

124,523,355
Factor Arrows
341,507,785
Factor Arrows
58,301,557
Factor Arrows
11754,687
Factor Arrows
4118,407
Factor Arrows
79233

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, 5, 11, 41, 79, 233

We can check our work by multiplying all of the prime factors together: 3 x 5 x 11 x 41 x 79 x 233 = 124,523,355

This can also be written as 31 x 51 x 111 x 411 x 791 x 2331 = 124,523,355

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


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