Q: What are the prime factors of the number 124,024,032?

 A: 2, 3, 11, 3559

Why are those the prime factors of the number 124,024,032?

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 124,024,032

124,024,032
Factor Arrows
262,012,016
Factor Arrows
231,006,008
Factor Arrows
215,503,004
Factor Arrows
27,751,502
Factor Arrows
23,875,751
Factor Arrows
31,291,917
Factor Arrows
3430,639
Factor Arrows
1139,149
Factor Arrows
113,559

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, 11, 3559

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 11 x 3,559 = 124,024,032

This can also be written as 25 x 32 x 112 x 3,5591 = 124,024,032

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


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