Q: What are the prime factors of the number 21,084?

 A: 2, 3, 7, 251

Why are those the prime factors of the number 21,084?

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 21,084

21,084
Factor Arrows
210,542
Factor Arrows
25,271
Factor Arrows
31,757
Factor Arrows
7251

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, 7, 251

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 251 = 21,084

This can also be written as 22 x 31 x 71 x 2511 = 21,084

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


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