Q: What are the prime factors of the number 113,000,032?

 A: 2, 47, 75133

Why are those the prime factors of the number 113,000,032?

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 113,000,032

113,000,032
Factor Arrows
256,500,016
Factor Arrows
228,250,008
Factor Arrows
214,125,004
Factor Arrows
27,062,502
Factor Arrows
23,531,251
Factor Arrows
4775,133

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, 47, 75133

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 47 x 75,133 = 113,000,032

This can also be written as 25 x 471 x 75,1331 = 113,000,032

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


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