Q: What are the prime factors of the number 12,432,366?

 A: 2, 3, 8527

Why are those the prime factors of the number 12,432,366?

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 12,432,366

12,432,366
Factor Arrows
26,216,183
Factor Arrows
32,072,061
Factor Arrows
3690,687
Factor Arrows
3230,229
Factor Arrows
376,743
Factor Arrows
325,581
Factor Arrows
38,527

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, 8527

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 3 x 8,527 = 12,432,366

This can also be written as 21 x 36 x 8,5271 = 12,432,366

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


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