Q: What are the prime factors of the number 23,256,992?

 A: 2, 11, 66071

Why are those the prime factors of the number 23,256,992?

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 23,256,992

23,256,992
Factor Arrows
211,628,496
Factor Arrows
25,814,248
Factor Arrows
22,907,124
Factor Arrows
21,453,562
Factor Arrows
2726,781
Factor Arrows
1166,071

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, 11, 66071

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 11 x 66,071 = 23,256,992

This can also be written as 25 x 111 x 66,0711 = 23,256,992

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


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