Q: What are the prime factors of the number 411,020,658?

 A: 2, 3, 22834481

Why are those the prime factors of the number 411,020,658?

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 411,020,658

411,020,658
Factor Arrows
2205,510,329
Factor Arrows
368,503,443
Factor Arrows
322,834,481

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, 22834481

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 22,834,481 = 411,020,658

This can also be written as 21 x 32 x 22,834,4811 = 411,020,658

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


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