Q: What are the prime factors of the number 24,231,456?

 A: 2, 3, 84137

Why are those the prime factors of the number 24,231,456?

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 24,231,456

24,231,456
Factor Arrows
212,115,728
Factor Arrows
26,057,864
Factor Arrows
23,028,932
Factor Arrows
21,514,466
Factor Arrows
2757,233
Factor Arrows
3252,411
Factor Arrows
384,137

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, 84137

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 84,137 = 24,231,456

This can also be written as 25 x 32 x 84,1371 = 24,231,456

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


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