Q: What are the prime factors of the number 116,520,064?

 A: 2, 101, 9013

Why are those the prime factors of the number 116,520,064?

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 116,520,064

116,520,064
Factor Arrows
258,260,032
Factor Arrows
229,130,016
Factor Arrows
214,565,008
Factor Arrows
27,282,504
Factor Arrows
23,641,252
Factor Arrows
21,820,626
Factor Arrows
2910,313
Factor Arrows
1019,013

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, 101, 9013

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 2 x 101 x 9,013 = 116,520,064

This can also be written as 27 x 1011 x 9,0131 = 116,520,064

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


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