Q: What are the prime factors of the number 124,240,140?

 A: 2, 3, 5, 79, 8737

Why are those the prime factors of the number 124,240,140?

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 124,240,140

124,240,140
Factor Arrows
262,120,070
Factor Arrows
231,060,035
Factor Arrows
310,353,345
Factor Arrows
33,451,115
Factor Arrows
5690,223
Factor Arrows
798,737

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, 5, 79, 8737

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 79 x 8,737 = 124,240,140

This can also be written as 22 x 32 x 51 x 791 x 8,7371 = 124,240,140

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


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