Q: What are the prime factors of the number 20,948?

 A: 2, 5237

Why are those the prime factors of the number 20,948?

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 20,948

20,948
Factor Arrows
210,474
Factor Arrows
25,237

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, 5237

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5,237 = 20,948

This can also be written as 22 x 5,2371 = 20,948

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


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