Q: What are the prime factors of the number 12,435,822?

 A: 2, 3, 7, 167, 197

Why are those the prime factors of the number 12,435,822?

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 12,435,822

12,435,822
Factor Arrows
26,217,911
Factor Arrows
32,072,637
Factor Arrows
3690,879
Factor Arrows
3230,293
Factor Arrows
732,899
Factor Arrows
167197

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, 167, 197

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 7 x 167 x 197 = 12,435,822

This can also be written as 21 x 33 x 71 x 1671 x 1971 = 12,435,822

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


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