Q: What are the prime factors of the number 62,153,676?

 A: 2, 3, 13, 44269

Why are those the prime factors of the number 62,153,676?

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 62,153,676

62,153,676
Factor Arrows
231,076,838
Factor Arrows
215,538,419
Factor Arrows
35,179,473
Factor Arrows
31,726,491
Factor Arrows
3575,497
Factor Arrows
1344,269

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, 13, 44269

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 13 x 44,269 = 62,153,676

This can also be written as 22 x 33 x 131 x 44,2691 = 62,153,676

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


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