Q: What are the prime factors of the number 243,760?

 A: 2, 5, 11, 277

Why are those the prime factors of the number 243,760?

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 243,760

243,760
Factor Arrows
2121,880
Factor Arrows
260,940
Factor Arrows
230,470
Factor Arrows
215,235
Factor Arrows
53,047
Factor Arrows
11277

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, 5, 11, 277

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 11 x 277 = 243,760

This can also be written as 24 x 51 x 111 x 2771 = 243,760

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


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