Q: What are the prime factors of the number 193,460?

 A: 2, 5, 17, 569

Why are those the prime factors of the number 193,460?

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 193,460

193,460
Factor Arrows
296,730
Factor Arrows
248,365
Factor Arrows
59,673
Factor Arrows
17569

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, 17, 569

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 17 x 569 = 193,460

This can also be written as 22 x 51 x 171 x 5691 = 193,460

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


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