Q: What are the prime factors of the number 24,072,672?

 A: 2, 3, 13, 19289

Why are those the prime factors of the number 24,072,672?

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 24,072,672

24,072,672
Factor Arrows
212,036,336
Factor Arrows
26,018,168
Factor Arrows
23,009,084
Factor Arrows
21,504,542
Factor Arrows
2752,271
Factor Arrows
3250,757
Factor Arrows
1319,289

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, 13, 19289

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 13 x 19,289 = 24,072,672

This can also be written as 25 x 31 x 131 x 19,2891 = 24,072,672

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


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