Q: What are the prime factors of the number 220,433,241?

 A: 3, 7, 317, 33113

Why are those the prime factors of the number 220,433,241?

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 220,433,241

220,433,241
Factor Arrows
373,477,747
Factor Arrows
710,496,821
Factor Arrows
31733,113

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, 317, 33113

We can check our work by multiplying all of the prime factors together: 3 x 7 x 317 x 33,113 = 220,433,241

This can also be written as 31 x 71 x 3171 x 33,1131 = 220,433,241

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


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