Q: What are the prime factors of the number 31,276,032?

 A: 2, 3, 10181

Why are those the prime factors of the number 31,276,032?

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 31,276,032

31,276,032
Factor Arrows
215,638,016
Factor Arrows
27,819,008
Factor Arrows
23,909,504
Factor Arrows
21,954,752
Factor Arrows
2977,376
Factor Arrows
2488,688
Factor Arrows
2244,344
Factor Arrows
2122,172
Factor Arrows
261,086
Factor Arrows
230,543
Factor Arrows
310,181

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, 10181

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 10,181 = 31,276,032

This can also be written as 210 x 31 x 10,1811 = 31,276,032

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


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