Q: What are the prime factors of the number 12,816,150?

 A: 2, 3, 5, 43, 1987

Why are those the prime factors of the number 12,816,150?

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 12,816,150

12,816,150
Factor Arrows
26,408,075
Factor Arrows
32,136,025
Factor Arrows
5427,205
Factor Arrows
585,441
Factor Arrows
431,987

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, 5, 43, 1987

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 43 x 1,987 = 12,816,150

This can also be written as 21 x 31 x 52 x 431 x 1,9871 = 12,816,150

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


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