Q: What are the prime factors of the number 11,925,288?

 A: 2, 3, 89, 1861

Why are those the prime factors of the number 11,925,288?

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 11,925,288

11,925,288
Factor Arrows
25,962,644
Factor Arrows
22,981,322
Factor Arrows
21,490,661
Factor Arrows
3496,887
Factor Arrows
3165,629
Factor Arrows
891,861

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, 89, 1861

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 89 x 1,861 = 11,925,288

This can also be written as 23 x 32 x 891 x 1,8611 = 11,925,288

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


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