Q: What are the prime factors of the number 12,211,232?

 A: 2, 11, 113, 307

Why are those the prime factors of the number 12,211,232?

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 12,211,232

12,211,232
Factor Arrows
26,105,616
Factor Arrows
23,052,808
Factor Arrows
21,526,404
Factor Arrows
2763,202
Factor Arrows
2381,601
Factor Arrows
1134,691
Factor Arrows
113307

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, 11, 113, 307

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 11 x 113 x 307 = 12,211,232

This can also be written as 25 x 111 x 1131 x 3071 = 12,211,232

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


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