Q: What are the prime factors of the number 61,680?

 A: 2, 3, 5, 257

Why are those the prime factors of the number 61,680?

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 61,680

61,680
Factor Arrows
230,840
Factor Arrows
215,420
Factor Arrows
27,710
Factor Arrows
23,855
Factor Arrows
31,285
Factor Arrows
5257

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, 5, 257

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 5 x 257 = 61,680

This can also be written as 24 x 31 x 51 x 2571 = 61,680

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


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