Q: What are the prime factors of the number 12,064,410?

 A: 2, 3, 5, 44683

Why are those the prime factors of the number 12,064,410?

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 12,064,410

12,064,410
Factor Arrows
26,032,205
Factor Arrows
32,010,735
Factor Arrows
3670,245
Factor Arrows
3223,415
Factor Arrows
544,683

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, 5, 44683

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 5 x 44,683 = 12,064,410

This can also be written as 21 x 33 x 51 x 44,6831 = 12,064,410

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


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