Q: What are the prime factors of the number 12,991,600?

 A: 2, 5, 32479

Why are those the prime factors of the number 12,991,600?

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 12,991,600

12,991,600
Factor Arrows
26,495,800
Factor Arrows
23,247,900
Factor Arrows
21,623,950
Factor Arrows
2811,975
Factor Arrows
5162,395
Factor Arrows
532,479

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, 5, 32479

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 5 x 32,479 = 12,991,600

This can also be written as 24 x 52 x 32,4791 = 12,991,600

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


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