Q: What are the prime factors of the number 11,434,364?

 A: 2, 89, 32119

Why are those the prime factors of the number 11,434,364?

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 11,434,364

11,434,364
Factor Arrows
25,717,182
Factor Arrows
22,858,591
Factor Arrows
8932,119

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, 89, 32119

We can check our work by multiplying all of the prime factors together: 2 x 2 x 89 x 32,119 = 11,434,364

This can also be written as 22 x 891 x 32,1191 = 11,434,364

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


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