Q: What are the prime factors of the number 815,315,416?

 A: 2, 101914427

Why are those the prime factors of the number 815,315,416?

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 815,315,416

815,315,416
Factor Arrows
2407,657,708
Factor Arrows
2203,828,854
Factor Arrows
2101,914,427

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, 101914427

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 101,914,427 = 815,315,416

This can also be written as 23 x 101,914,4271 = 815,315,416

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


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