Q: What are the prime factors of the number 24,246,405?

 A: 3, 5, 179603

Why are those the prime factors of the number 24,246,405?

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 24,246,405

24,246,405
Factor Arrows
38,082,135
Factor Arrows
32,694,045
Factor Arrows
3898,015
Factor Arrows
5179,603

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, 5, 179603

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 179,603 = 24,246,405

This can also be written as 33 x 51 x 179,6031 = 24,246,405

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


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