Q: What are the prime factors of the number 32,111,436?

 A: 2, 3, 7, 17, 113, 199

Why are those the prime factors of the number 32,111,436?

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 32,111,436

32,111,436
Factor Arrows
216,055,718
Factor Arrows
28,027,859
Factor Arrows
32,675,953
Factor Arrows
7382,279
Factor Arrows
1722,487
Factor Arrows
113199

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, 7, 17, 113, 199

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 17 x 113 x 199 = 32,111,436

This can also be written as 22 x 31 x 71 x 171 x 1131 x 1991 = 32,111,436

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


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