Q: What are the prime factors of the number 131,221,028?

 A: 2, 17, 113513

Why are those the prime factors of the number 131,221,028?

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 131,221,028

131,221,028
Factor Arrows
265,610,514
Factor Arrows
232,805,257
Factor Arrows
171,929,721
Factor Arrows
17113,513

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, 17, 113513

We can check our work by multiplying all of the prime factors together: 2 x 2 x 17 x 17 x 113,513 = 131,221,028

This can also be written as 22 x 172 x 113,5131 = 131,221,028

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


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