Q: What are the prime factors of the number 12,988,600?

 A: 2, 5, 101, 643

Why are those the prime factors of the number 12,988,600?

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 12,988,600

12,988,600
Factor Arrows
26,494,300
Factor Arrows
23,247,150
Factor Arrows
21,623,575
Factor Arrows
5324,715
Factor Arrows
564,943
Factor Arrows
101643

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, 101, 643

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 101 x 643 = 12,988,600

This can also be written as 23 x 52 x 1011 x 6431 = 12,988,600

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


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