Q: What are the prime factors of the number 11,313,234?

 A: 2, 3, 277, 2269

Why are those the prime factors of the number 11,313,234?

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 11,313,234

11,313,234
Factor Arrows
25,656,617
Factor Arrows
31,885,539
Factor Arrows
3628,513
Factor Arrows
2772,269

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, 277, 2269

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 277 x 2,269 = 11,313,234

This can also be written as 21 x 32 x 2771 x 2,2691 = 11,313,234

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


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