Q: What are the prime factors of the number 12,100,992?

 A: 2, 3, 31513

Why are those the prime factors of the number 12,100,992?

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 12,100,992

12,100,992
Factor Arrows
26,050,496
Factor Arrows
23,025,248
Factor Arrows
21,512,624
Factor Arrows
2756,312
Factor Arrows
2378,156
Factor Arrows
2189,078
Factor Arrows
294,539
Factor Arrows
331,513

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, 31513

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 3 x 31,513 = 12,100,992

This can also be written as 27 x 31 x 31,5131 = 12,100,992

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


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