What is the greatest remainder you can have if the divisor is 4?
3
A greater remainder means a larger quotient and a smaller remainder
The greatest remainder you can have if the divisor is 4 is 3.
To find the greatest remainder you can have when dividing by 4, you need to divide a number by 4 and observe the remainders you get. The remainder is always less than the divisor, so in this case, it will be less than 4.
Let's start with the number 3. When you divide 3 by 4, the quotient is 0 and the remainder is 3.
If we increase the number to 4, when you divide 4 by 4, the quotient is 1 and the remainder is 0.
Continuing this pattern, when you divide 5 by 4, the quotient is 1 and the remainder is 1.
Similarly, dividing 6 by 4 results in a quotient of 1 and a remainder of 2.
As you can see, the remainders keep increasing as the number being divided increases. The largest remainder you can have when dividing by 4 is 3, which occurs when you divide 3 or any number that is 3 less than a multiple of 4.