Q: What are the prime factors of the number 60,816,496?

 A: 2, 13, 47, 6221

Why are those the prime factors of the number 60,816,496?

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 60,816,496

60,816,496
Factor Arrows
230,408,248
Factor Arrows
215,204,124
Factor Arrows
27,602,062
Factor Arrows
23,801,031
Factor Arrows
13292,387
Factor Arrows
476,221

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, 13, 47, 6221

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 13 x 47 x 6,221 = 60,816,496

This can also be written as 24 x 131 x 471 x 6,2211 = 60,816,496

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


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