Q: What are the prime factors of the number 124,007,528?

 A: 2, 19, 43, 18973

Why are those the prime factors of the number 124,007,528?

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 124,007,528

124,007,528
Factor Arrows
262,003,764
Factor Arrows
231,001,882
Factor Arrows
215,500,941
Factor Arrows
19815,839
Factor Arrows
4318,973

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, 19, 43, 18973

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 19 x 43 x 18,973 = 124,007,528

This can also be written as 23 x 191 x 431 x 18,9731 = 124,007,528

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


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