Q: What are the prime factors of the number 53,976?

 A: 2, 3, 13, 173

Why are those the prime factors of the number 53,976?

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 53,976

53,976
Factor Arrows
226,988
Factor Arrows
213,494
Factor Arrows
26,747
Factor Arrows
32,249
Factor Arrows
13173

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, 13, 173

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 13 x 173 = 53,976

This can also be written as 23 x 31 x 131 x 1731 = 53,976

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


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