Q: What are the prime factors of the number 124,057,304?

 A: 2, 7, 2215309

Why are those the prime factors of the number 124,057,304?

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 124,057,304

124,057,304
Factor Arrows
262,028,652
Factor Arrows
231,014,326
Factor Arrows
215,507,163
Factor Arrows
72,215,309

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, 7, 2215309

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 2,215,309 = 124,057,304

This can also be written as 23 x 71 x 2,215,3091 = 124,057,304

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


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