Q: What are the prime factors of the number 12,322,735?

 A: 5, 19, 6827

Why are those the prime factors of the number 12,322,735?

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 12,322,735

12,322,735
Factor Arrows
52,464,547
Factor Arrows
19129,713
Factor Arrows
196,827

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:

5, 19, 6827

We can check our work by multiplying all of the prime factors together: 5 x 19 x 19 x 6,827 = 12,322,735

This can also be written as 51 x 192 x 6,8271 = 12,322,735

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


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