Q: What are the prime factors of the number 11,426,132?

 A: 2, 43, 66431

Why are those the prime factors of the number 11,426,132?

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 11,426,132

11,426,132
Factor Arrows
25,713,066
Factor Arrows
22,856,533
Factor Arrows
4366,431

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, 43, 66431

We can check our work by multiplying all of the prime factors together: 2 x 2 x 43 x 66,431 = 11,426,132

This can also be written as 22 x 431 x 66,4311 = 11,426,132

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


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