Q: What are the prime factors of the number 124,256,652?

 A: 2, 3, 13, 796517

Why are those the prime factors of the number 124,256,652?

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 124,256,652

124,256,652
Factor Arrows
262,128,326
Factor Arrows
231,064,163
Factor Arrows
310,354,721
Factor Arrows
13796,517

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, 13, 796517

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 13 x 796,517 = 124,256,652

This can also be written as 22 x 31 x 131 x 796,5171 = 124,256,652

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


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