Q: What are the prime factors of the number 24,646,017?

 A: 3, 11, 67, 71, 157

Why are those the prime factors of the number 24,646,017?

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 24,646,017

24,646,017
Factor Arrows
38,215,339
Factor Arrows
11746,849
Factor Arrows
6711,147
Factor Arrows
71157

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, 11, 67, 71, 157

We can check our work by multiplying all of the prime factors together: 3 x 11 x 67 x 71 x 157 = 24,646,017

This can also be written as 31 x 111 x 671 x 711 x 1571 = 24,646,017

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


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