Q: What are the prime factors of the number 12,233,016?

 A: 2, 3, 71, 2393

Why are those the prime factors of the number 12,233,016?

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 12,233,016

12,233,016
Factor Arrows
26,116,508
Factor Arrows
23,058,254
Factor Arrows
21,529,127
Factor Arrows
3509,709
Factor Arrows
3169,903
Factor Arrows
712,393

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, 71, 2393

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 71 x 2,393 = 12,233,016

This can also be written as 23 x 32 x 711 x 2,3931 = 12,233,016

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


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