Q: What are the prime factors of the number 23,038,016?

 A: 2, 179, 2011

Why are those the prime factors of the number 23,038,016?

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 23,038,016

23,038,016
Factor Arrows
211,519,008
Factor Arrows
25,759,504
Factor Arrows
22,879,752
Factor Arrows
21,439,876
Factor Arrows
2719,938
Factor Arrows
2359,969
Factor Arrows
1792,011

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, 179, 2011

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 179 x 2,011 = 23,038,016

This can also be written as 26 x 1791 x 2,0111 = 23,038,016

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


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