Q: What are the prime factors of the number 60,800?

 A: 2, 5, 19

Why are those the prime factors of the number 60,800?

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 60,800

60,800
Factor Arrows
230,400
Factor Arrows
215,200
Factor Arrows
27,600
Factor Arrows
23,800
Factor Arrows
21,900
Factor Arrows
2950
Factor Arrows
2475
Factor Arrows
595
Factor Arrows
519

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, 19

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 5 x 5 x 19 = 60,800

This can also be written as 27 x 52 x 191 = 60,800

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


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