Q: What are the prime factors of the number 31,705,112?

 A: 2, 101, 39239

Why are those the prime factors of the number 31,705,112?

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 31,705,112

31,705,112
Factor Arrows
215,852,556
Factor Arrows
27,926,278
Factor Arrows
23,963,139
Factor Arrows
10139,239

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, 39239

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 101 x 39,239 = 31,705,112

This can also be written as 23 x 1011 x 39,2391 = 31,705,112

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


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