Q: What are the prime factors of the number 12,233,655?

 A: 3, 5, 7, 71, 547

Why are those the prime factors of the number 12,233,655?

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 12,233,655

12,233,655
Factor Arrows
34,077,885
Factor Arrows
31,359,295
Factor Arrows
5271,859
Factor Arrows
738,837
Factor Arrows
71547

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:

3, 5, 7, 71, 547

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 7 x 71 x 547 = 12,233,655

This can also be written as 32 x 51 x 71 x 711 x 5471 = 12,233,655

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


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