Q: What are the prime factors of the number 116,633,660?

 A: 2, 5, 11, 13, 3137

Why are those the prime factors of the number 116,633,660?

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 116,633,660

116,633,660
Factor Arrows
258,316,830
Factor Arrows
229,158,415
Factor Arrows
55,831,683
Factor Arrows
11530,153
Factor Arrows
1340,781
Factor Arrows
133,137

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, 11, 13, 3137

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 11 x 13 x 13 x 3,137 = 116,633,660

This can also be written as 22 x 51 x 111 x 132 x 3,1371 = 116,633,660

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


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