Q: What are the prime factors of the number 124,410,632?

 A: 2, 19, 521, 1571

Why are those the prime factors of the number 124,410,632?

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 124,410,632

124,410,632
Factor Arrows
262,205,316
Factor Arrows
231,102,658
Factor Arrows
215,551,329
Factor Arrows
19818,491
Factor Arrows
5211,571

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, 19, 521, 1571

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 19 x 521 x 1,571 = 124,410,632

This can also be written as 23 x 191 x 5211 x 1,5711 = 124,410,632

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


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