Q: What are the prime factors of the number 24,688,581?

 A: 3, 19, 181, 2393

Why are those the prime factors of the number 24,688,581?

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 24,688,581

24,688,581
Factor Arrows
38,229,527
Factor Arrows
19433,133
Factor Arrows
1812,393

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:

3, 19, 181, 2393

We can check our work by multiplying all of the prime factors together: 3 x 19 x 181 x 2,393 = 24,688,581

This can also be written as 31 x 191 x 1811 x 2,3931 = 24,688,581

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


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