Q: What are the prime factors of the number 412,830?

 A: 2, 3, 5, 11, 139

Why are those the prime factors of the number 412,830?

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 412,830

412,830
Factor Arrows
2206,415
Factor Arrows
368,805
Factor Arrows
322,935
Factor Arrows
37,645
Factor Arrows
51,529
Factor Arrows
11139

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, 11, 139

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 5 x 11 x 139 = 412,830

This can also be written as 21 x 33 x 51 x 111 x 1391 = 412,830

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


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