Q: What are the prime factors of the number 12,425,452?

 A: 2, 13, 43, 5557

Why are those the prime factors of the number 12,425,452?

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 12,425,452

12,425,452
Factor Arrows
26,212,726
Factor Arrows
23,106,363
Factor Arrows
13238,951
Factor Arrows
435,557

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, 13, 43, 5557

We can check our work by multiplying all of the prime factors together: 2 x 2 x 13 x 43 x 5,557 = 12,425,452

This can also be written as 22 x 131 x 431 x 5,5571 = 12,425,452

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


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