### Instruction: What is the largest factor of 54,321 that is less than 54,321?### Response: To find the largest factor of a number, I want to divide it by the smallest possible divisor that is not 1.
The smallest possible divisor of any number is 2, so I will start by checking if 54,321 is divisible by 2.
A number is divisible by 2 if its last digit is even, but 54,321 has an odd last digit, 1, so it is not divisible by 2.
[* so I will move on to the next smallest divisor, which is 3.
A number is divisible by 3 if the sum of its digits is divisible by 3, so I will add up the digits of 54,321 and see what I get.
5 + 4 + 3 + 2 + 1 = 15, and 15 is divisible by 3, so 54,321 is also divisible by 3.
To find the factor, I will divide 54,321 by 3 using long division or a calculator.
I get 54,321 / 3 = 18,107.
This is the largest factor of 54,321 that is less than 54,321, because any larger factor would have to be a multiple of 18,107 and that would exceed 54,321.