Q: What are the prime factors of the number 621,442,611?

 A: 3, 284153

Why are those the prime factors of the number 621,442,611?

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 621,442,611

621,442,611
Factor Arrows
3207,147,537
Factor Arrows
369,049,179
Factor Arrows
323,016,393
Factor Arrows
37,672,131
Factor Arrows
32,557,377
Factor Arrows
3852,459
Factor Arrows
3284,153

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, 284153

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 3 x 284,153 = 621,442,611

This can also be written as 37 x 284,1531 = 621,442,611

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


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