Q: What are the prime factors of the number 24,535,496?

 A: 2, 359, 8543

Why are those the prime factors of the number 24,535,496?

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 24,535,496

24,535,496
Factor Arrows
212,267,748
Factor Arrows
26,133,874
Factor Arrows
23,066,937
Factor Arrows
3598,543

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, 359, 8543

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 359 x 8,543 = 24,535,496

This can also be written as 23 x 3591 x 8,5431 = 24,535,496

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


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