Q: What are the prime factors of the number 124,302,520?

 A: 2, 5, 127, 24469

Why are those the prime factors of the number 124,302,520?

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 124,302,520

124,302,520
Factor Arrows
262,151,260
Factor Arrows
231,075,630
Factor Arrows
215,537,815
Factor Arrows
53,107,563
Factor Arrows
12724,469

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, 5, 127, 24469

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 127 x 24,469 = 124,302,520

This can also be written as 23 x 51 x 1271 x 24,4691 = 124,302,520

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


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