Q: What are the prime factors of the number 221,292?

 A: 2, 3, 683

Why are those the prime factors of the number 221,292?

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 221,292

221,292
Factor Arrows
2110,646
Factor Arrows
255,323
Factor Arrows
318,441
Factor Arrows
36,147
Factor Arrows
32,049
Factor Arrows
3683

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, 3, 683

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 683 = 221,292

This can also be written as 22 x 34 x 6831 = 221,292

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


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