Q: What are the prime factors of the number 12,457,652?

 A: 2, 491, 6343

Why are those the prime factors of the number 12,457,652?

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 12,457,652

12,457,652
Factor Arrows
26,228,826
Factor Arrows
23,114,413
Factor Arrows
4916,343

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, 491, 6343

We can check our work by multiplying all of the prime factors together: 2 x 2 x 491 x 6,343 = 12,457,652

This can also be written as 22 x 4911 x 6,3431 = 12,457,652

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


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