What number must be taken from 563 to make it exactly divisible by 12
To make a number divisible by 12, it must be divisible by both 3 and 4.
The sum of the digits of 563 is 5 + 6 + 3 = 14, which is not divisible by 3, so 563 is not divisible by 3.
To check if 563 is divisible by 4, we look at the last two digits, which are 63. If 63 is divisible by 4, then 563 is divisible by 4. Since 63 is not divisible by 4, we need to subtract a number that will make the new last two digits equal to a multiple of 4.
The next multiple of 4 greater than 63 is 64, so we need to subtract 1 to make the last two digits 62, which is divisible by 4. Therefore, we need to take 1 from 563 to make it exactly divisible by 12.
563 - 1 = 562.