Q: What are the prime factors of the number 117,233,032?

 A: 2, 7, 53, 39499

Why are those the prime factors of the number 117,233,032?

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 117,233,032

117,233,032
Factor Arrows
258,616,516
Factor Arrows
229,308,258
Factor Arrows
214,654,129
Factor Arrows
72,093,447
Factor Arrows
5339,499

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, 53, 39499

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 53 x 39,499 = 117,233,032

This can also be written as 23 x 71 x 531 x 39,4991 = 117,233,032

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


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