Q: What are the prime factors of the number 12,503,232?

 A: 2, 3, 7, 443

Why are those the prime factors of the number 12,503,232?

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 12,503,232

12,503,232
Factor Arrows
26,251,616
Factor Arrows
23,125,808
Factor Arrows
21,562,904
Factor Arrows
2781,452
Factor Arrows
2390,726
Factor Arrows
2195,363
Factor Arrows
365,121
Factor Arrows
321,707
Factor Arrows
73,101
Factor Arrows
7443

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, 7, 443

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7 x 443 = 12,503,232

This can also be written as 26 x 32 x 72 x 4431 = 12,503,232

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


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