Q: What are the prime factors of the number 12,244,224?

 A: 2, 3, 107, 149

Why are those the prime factors of the number 12,244,224?

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 12,244,224

12,244,224
Factor Arrows
26,122,112
Factor Arrows
23,061,056
Factor Arrows
21,530,528
Factor Arrows
2765,264
Factor Arrows
2382,632
Factor Arrows
2191,316
Factor Arrows
295,658
Factor Arrows
247,829
Factor Arrows
315,943
Factor Arrows
107149

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, 107, 149

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 2 x 3 x 107 x 149 = 12,244,224

This can also be written as 28 x 31 x 1071 x 1491 = 12,244,224

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


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