Q: What are the prime factors of the number 60,248?

 A: 2, 17, 443

Why are those the prime factors of the number 60,248?

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 60,248

60,248
Factor Arrows
230,124
Factor Arrows
215,062
Factor Arrows
27,531
Factor Arrows
17443

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, 17, 443

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 17 x 443 = 60,248

This can also be written as 23 x 171 x 4431 = 60,248

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


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