Q: What are the prime factors of the number 24,517,520?

 A: 2, 5, 137, 2237

Why are those the prime factors of the number 24,517,520?

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 24,517,520

24,517,520
Factor Arrows
212,258,760
Factor Arrows
26,129,380
Factor Arrows
23,064,690
Factor Arrows
21,532,345
Factor Arrows
5306,469
Factor Arrows
1372,237

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, 5, 137, 2237

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 137 x 2,237 = 24,517,520

This can also be written as 24 x 51 x 1371 x 2,2371 = 24,517,520

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


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