Q: What are the prime factors of the number 124,031,624?

 A: 2, 1163, 13331

Why are those the prime factors of the number 124,031,624?

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 124,031,624

124,031,624
Factor Arrows
262,015,812
Factor Arrows
231,007,906
Factor Arrows
215,503,953
Factor Arrows
1,16313,331

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, 1163, 13331

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 1,163 x 13,331 = 124,031,624

This can also be written as 23 x 1,1631 x 13,3311 = 124,031,624

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


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