Q: What are the prime factors of the number 224,214,023?

 A: 11, 419, 48647

Why are those the prime factors of the number 224,214,023?

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 224,214,023

224,214,023
Factor Arrows
1120,383,093
Factor Arrows
41948,647

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:

11, 419, 48647

We can check our work by multiplying all of the prime factors together: 11 x 419 x 48,647 = 224,214,023

This can also be written as 111 x 4191 x 48,6471 = 224,214,023

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


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