Q: What are the prime factors of the number 411,600,405?

 A: 3, 5, 27440027

Why are those the prime factors of the number 411,600,405?

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 411,600,405

411,600,405
Factor Arrows
3137,200,135
Factor Arrows
527,440,027

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, 27440027

We can check our work by multiplying all of the prime factors together: 3 x 5 x 27,440,027 = 411,600,405

This can also be written as 31 x 51 x 27,440,0271 = 411,600,405

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


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