Q: What are the prime factors of the number 12,215,126?

 A: 2, 7, 11, 79319

Why are those the prime factors of the number 12,215,126?

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 12,215,126

12,215,126
Factor Arrows
26,107,563
Factor Arrows
7872,509
Factor Arrows
1179,319

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, 7, 11, 79319

We can check our work by multiplying all of the prime factors together: 2 x 7 x 11 x 79,319 = 12,215,126

This can also be written as 21 x 71 x 111 x 79,3191 = 12,215,126

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


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