Q: What are the prime factors of the number 124,232,031?

 A: 3, 7, 11, 43, 379

Why are those the prime factors of the number 124,232,031?

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 124,232,031

124,232,031
Factor Arrows
341,410,677
Factor Arrows
313,803,559
Factor Arrows
71,971,937
Factor Arrows
11179,267
Factor Arrows
1116,297
Factor Arrows
43379

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:

3, 7, 11, 43, 379

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 11 x 11 x 43 x 379 = 124,232,031

This can also be written as 32 x 71 x 112 x 431 x 3791 = 124,232,031

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


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