Q: What are the prime factors of the number 24,691,360?

 A: 2, 5, 154321

Why are those the prime factors of the number 24,691,360?

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 24,691,360

24,691,360
Factor Arrows
212,345,680
Factor Arrows
26,172,840
Factor Arrows
23,086,420
Factor Arrows
21,543,210
Factor Arrows
2771,605
Factor Arrows
5154,321

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, 154321

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 154,321 = 24,691,360

This can also be written as 25 x 51 x 154,3211 = 24,691,360

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


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