Q: What are the prime factors of the number 411,511,220?

 A: 2, 5, 73, 281857

Why are those the prime factors of the number 411,511,220?

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 411,511,220

411,511,220
Factor Arrows
2205,755,610
Factor Arrows
2102,877,805
Factor Arrows
520,575,561
Factor Arrows
73281,857

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, 5, 73, 281857

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 73 x 281,857 = 411,511,220

This can also be written as 22 x 51 x 731 x 281,8571 = 411,511,220

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


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