Q: What are the prime factors of the number 24,711,417?

 A: 3, 241, 11393

Why are those the prime factors of the number 24,711,417?

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 24,711,417

24,711,417
Factor Arrows
38,237,139
Factor Arrows
32,745,713
Factor Arrows
24111,393

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, 241, 11393

We can check our work by multiplying all of the prime factors together: 3 x 3 x 241 x 11,393 = 24,711,417

This can also be written as 32 x 2411 x 11,3931 = 24,711,417

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


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