Q: What are the prime factors of the number 197,360?

 A: 2, 5, 2467

Why are those the prime factors of the number 197,360?

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 197,360

197,360
Factor Arrows
298,680
Factor Arrows
249,340
Factor Arrows
224,670
Factor Arrows
212,335
Factor Arrows
52,467

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, 2467

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 2,467 = 197,360

This can also be written as 24 x 51 x 2,4671 = 197,360

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


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