Q: What are the prime factors of the number 124,513,720?

 A: 2, 5, 23, 41, 3301

Why are those the prime factors of the number 124,513,720?

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 124,513,720

124,513,720
Factor Arrows
262,256,860
Factor Arrows
231,128,430
Factor Arrows
215,564,215
Factor Arrows
53,112,843
Factor Arrows
23135,341
Factor Arrows
413,301

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, 5, 23, 41, 3301

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 23 x 41 x 3,301 = 124,513,720

This can also be written as 23 x 51 x 231 x 411 x 3,3011 = 124,513,720

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


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