Q: What are the prime factors of the number 31,221,180?

 A: 2, 3, 5, 17, 19, 179

Why are those the prime factors of the number 31,221,180?

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 31,221,180

31,221,180
Factor Arrows
215,610,590
Factor Arrows
27,805,295
Factor Arrows
32,601,765
Factor Arrows
3867,255
Factor Arrows
3289,085
Factor Arrows
557,817
Factor Arrows
173,401
Factor Arrows
19179

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, 3, 5, 17, 19, 179

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 5 x 17 x 19 x 179 = 31,221,180

This can also be written as 22 x 33 x 51 x 171 x 191 x 1791 = 31,221,180

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


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