Q: What are the prime factors of the number 61,535,392?

 A: 2, 613, 3137

Why are those the prime factors of the number 61,535,392?

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 61,535,392

61,535,392
Factor Arrows
230,767,696
Factor Arrows
215,383,848
Factor Arrows
27,691,924
Factor Arrows
23,845,962
Factor Arrows
21,922,981
Factor Arrows
6133,137

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, 613, 3137

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 613 x 3,137 = 61,535,392

This can also be written as 25 x 6131 x 3,1371 = 61,535,392

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


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