Q: What are the prime factors of the number 92,516,032?

 A: 2, 7, 29, 7121

Why are those the prime factors of the number 92,516,032?

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 92,516,032

92,516,032
Factor Arrows
246,258,016
Factor Arrows
223,129,008
Factor Arrows
211,564,504
Factor Arrows
25,782,252
Factor Arrows
22,891,126
Factor Arrows
21,445,563
Factor Arrows
7206,509
Factor Arrows
297,121

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, 7, 29, 7121

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 7 x 29 x 7,121 = 92,516,032

This can also be written as 26 x 71 x 291 x 7,1211 = 92,516,032

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


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