Q: What are the prime factors of the number 83,128,112?

 A: 2, 31, 167597

Why are those the prime factors of the number 83,128,112?

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 83,128,112

83,128,112
Factor Arrows
241,564,056
Factor Arrows
220,782,028
Factor Arrows
210,391,014
Factor Arrows
25,195,507
Factor Arrows
31167,597

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, 31, 167597

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 31 x 167,597 = 83,128,112

This can also be written as 24 x 311 x 167,5971 = 83,128,112

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


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