Q: What are the prime factors of the number 11,557,992?

 A: 2, 3, 439, 1097

Why are those the prime factors of the number 11,557,992?

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 11,557,992

11,557,992
Factor Arrows
25,778,996
Factor Arrows
22,889,498
Factor Arrows
21,444,749
Factor Arrows
3481,583
Factor Arrows
4391,097

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, 439, 1097

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 439 x 1,097 = 11,557,992

This can also be written as 23 x 31 x 4391 x 1,0971 = 11,557,992

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


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