Q: What are the prime factors of the number 92,670,640?

 A: 2, 5, 1158383

Why are those the prime factors of the number 92,670,640?

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 92,670,640

92,670,640
Factor Arrows
246,335,320
Factor Arrows
223,167,660
Factor Arrows
211,583,830
Factor Arrows
25,791,915
Factor Arrows
51,158,383

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, 5, 1158383

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 1,158,383 = 92,670,640

This can also be written as 24 x 51 x 1,158,3831 = 92,670,640

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


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