Q: What are the prime factors of the number 53,376?

 A: 2, 3, 139

Why are those the prime factors of the number 53,376?

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 53,376

53,376
Factor Arrows
226,688
Factor Arrows
213,344
Factor Arrows
26,672
Factor Arrows
23,336
Factor Arrows
21,668
Factor Arrows
2834
Factor Arrows
2417
Factor Arrows
3139

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, 139

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 139 = 53,376

This can also be written as 27 x 31 x 1391 = 53,376

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


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