Q: What are the prime factors of the number 92,608,680?

 A: 2, 3, 5, 771739

Why are those the prime factors of the number 92,608,680?

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 92,608,680

92,608,680
Factor Arrows
246,304,340
Factor Arrows
223,152,170
Factor Arrows
211,576,085
Factor Arrows
33,858,695
Factor Arrows
5771,739

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, 5, 771739

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 771,739 = 92,608,680

This can also be written as 23 x 31 x 51 x 771,7391 = 92,608,680

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


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