Q: What are the prime factors of the number 12,880,032?

 A: 2, 3, 11, 12197

Why are those the prime factors of the number 12,880,032?

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 12,880,032

12,880,032
Factor Arrows
26,440,016
Factor Arrows
23,220,008
Factor Arrows
21,610,004
Factor Arrows
2805,002
Factor Arrows
2402,501
Factor Arrows
3134,167
Factor Arrows
1112,197

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, 11, 12197

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 11 x 12,197 = 12,880,032

This can also be written as 25 x 31 x 111 x 12,1971 = 12,880,032

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


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