Q: What are the prime factors of the number 53,514?

 A: 2, 3, 991

Why are those the prime factors of the number 53,514?

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 53,514

53,514
Factor Arrows
226,757
Factor Arrows
38,919
Factor Arrows
32,973
Factor Arrows
3991

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, 991

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 991 = 53,514

This can also be written as 21 x 33 x 9911 = 53,514

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


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