Q: What are the prime factors of the number 31,432,032?

 A: 2, 3, 109139

Why are those the prime factors of the number 31,432,032?

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 31,432,032

31,432,032
Factor Arrows
215,716,016
Factor Arrows
27,858,008
Factor Arrows
23,929,004
Factor Arrows
21,964,502
Factor Arrows
2982,251
Factor Arrows
3327,417
Factor Arrows
3109,139

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, 109139

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 109,139 = 31,432,032

This can also be written as 25 x 32 x 109,1391 = 31,432,032

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


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