Q: What are the prime factors of the number 621,411?

 A: 3, 7, 127, 233

Why are those the prime factors of the number 621,411?

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 621,411

621,411
Factor Arrows
3207,137
Factor Arrows
729,591
Factor Arrows
127233

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, 7, 127, 233

We can check our work by multiplying all of the prime factors together: 3 x 7 x 127 x 233 = 621,411

This can also be written as 31 x 71 x 1271 x 2331 = 621,411

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


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