Q: What are the prime factors of the number 24,245,024?

 A: 2, 89, 8513

Why are those the prime factors of the number 24,245,024?

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 24,245,024

24,245,024
Factor Arrows
212,122,512
Factor Arrows
26,061,256
Factor Arrows
23,030,628
Factor Arrows
21,515,314
Factor Arrows
2757,657
Factor Arrows
898,513

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, 89, 8513

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 89 x 8,513 = 24,245,024

This can also be written as 25 x 891 x 8,5131 = 24,245,024

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


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