Q: What are the prime factors of the number 124,324,224?

 A: 2, 3, 569

Why are those the prime factors of the number 124,324,224?

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 124,324,224

124,324,224
Factor Arrows
262,162,112
Factor Arrows
231,081,056
Factor Arrows
215,540,528
Factor Arrows
27,770,264
Factor Arrows
23,885,132
Factor Arrows
21,942,566
Factor Arrows
2971,283
Factor Arrows
3323,761
Factor Arrows
569569

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, 569

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 3 x 569 x 569 = 124,324,224

This can also be written as 27 x 31 x 5692 = 124,324,224

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


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