Q: What are the prime factors of the number 24,607,557?

 A: 3, 13, 23369

Why are those the prime factors of the number 24,607,557?

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 24,607,557

24,607,557
Factor Arrows
38,202,519
Factor Arrows
32,734,173
Factor Arrows
3911,391
Factor Arrows
3303,797
Factor Arrows
1323,369

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, 13, 23369

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 13 x 23,369 = 24,607,557

This can also be written as 34 x 131 x 23,3691 = 24,607,557

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


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