Q: What are the prime factors of the number 224,214,021?

 A: 3, 8304223

Why are those the prime factors of the number 224,214,021?

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 224,214,021

224,214,021
Factor Arrows
374,738,007
Factor Arrows
324,912,669
Factor Arrows
38,304,223

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, 8304223

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 8,304,223 = 224,214,021

This can also be written as 33 x 8,304,2231 = 224,214,021

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


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