Q: What are the prime factors of the number 12,636,006?

 A: 2, 3, 269, 7829

Why are those the prime factors of the number 12,636,006?

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 12,636,006

12,636,006
Factor Arrows
26,318,003
Factor Arrows
32,106,001
Factor Arrows
2697,829

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, 269, 7829

We can check our work by multiplying all of the prime factors together: 2 x 3 x 269 x 7,829 = 12,636,006

This can also be written as 21 x 31 x 2691 x 7,8291 = 12,636,006

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


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