Q: What are the prime factors of the number 102,516,032?

 A: 2, 1601813

Why are those the prime factors of the number 102,516,032?

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 102,516,032

102,516,032
Factor Arrows
251,258,016
Factor Arrows
225,629,008
Factor Arrows
212,814,504
Factor Arrows
26,407,252
Factor Arrows
23,203,626
Factor Arrows
21,601,813

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, 1601813

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 1,601,813 = 102,516,032

This can also be written as 26 x 1,601,8131 = 102,516,032

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


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