Q: What are the prime factors of the number 411,050?

 A: 2, 5, 8221

Why are those the prime factors of the number 411,050?

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 411,050

411,050
Factor Arrows
2205,525
Factor Arrows
541,105
Factor Arrows
58,221

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, 8221

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 8,221 = 411,050

This can also be written as 21 x 52 x 8,2211 = 411,050

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


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