Q: What are the prime factors of the number 24,400,206?

 A: 2, 3, 179, 7573

Why are those the prime factors of the number 24,400,206?

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 24,400,206

24,400,206
Factor Arrows
212,200,103
Factor Arrows
34,066,701
Factor Arrows
31,355,567
Factor Arrows
1797,573

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, 3, 179, 7573

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 179 x 7,573 = 24,400,206

This can also be written as 21 x 32 x 1791 x 7,5731 = 24,400,206

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


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