Q: What are the prime factors of the number 24,851,600?

 A: 2, 5, 62129

Why are those the prime factors of the number 24,851,600?

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 24,851,600

24,851,600
Factor Arrows
212,425,800
Factor Arrows
26,212,900
Factor Arrows
23,106,450
Factor Arrows
21,553,225
Factor Arrows
5310,645
Factor Arrows
562,129

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, 62129

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 5 x 62,129 = 24,851,600

This can also be written as 24 x 52 x 62,1291 = 24,851,600

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


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