Q: What are the prime factors of the number 124,142,336?

 A: 2, 239, 2029

Why are those the prime factors of the number 124,142,336?

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 124,142,336

124,142,336
Factor Arrows
262,071,168
Factor Arrows
231,035,584
Factor Arrows
215,517,792
Factor Arrows
27,758,896
Factor Arrows
23,879,448
Factor Arrows
21,939,724
Factor Arrows
2969,862
Factor Arrows
2484,931
Factor Arrows
2392,029

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, 239, 2029

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 239 x 2,029 = 124,142,336

This can also be written as 28 x 2391 x 2,0291 = 124,142,336

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


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