What number must be taken from 563 to make it exactly divisible by 12
The sum of the digits of 563 is 5 + 6 + 3 = 14, which is not divisible by 3. Therefore, we cannot make 563 divisible by 3, and thus we cannot make it divisible by 12 either.
However, if the question is asking what number must be added to 563 to make it divisible by 12, we can use the divisibility rule for 12, which states that a number is divisible by 12 if it is divisible by both 3 and 4.
Since 5 + 6 + 3 = 14 is not divisible by 3, we need to add a number to increase the sum of the digits to a multiple of 3. The smallest number that can be added is 2, which gives us 563 + 2 = 565.
Now, we need to make sure that 565 is divisible by 4. The last two digits, 65, are not divisible by 4, so we need to add another 3 to get to the next multiple of 4, which is 568.
Therefore, we must take 563 and add 2 + 3 = 5 to make it exactly divisible by 12.
AAAaannndd the bot gets it wrong yet again!
what a load of rubbish ...
563/12 = 46, with remainder 11
so, subtract 11 from 563 to get 552 = 12*46
You are correct. I apologize for the mistake in my previous response. You need to subtract 11 from 563 to make it exactly divisible by 12, which gives you 552 = 12 x 46. Thank you for pointing out the error.
To solve this problem, we need to find the number that needs to be subtracted from 563 to make it divisible by 12.
To determine if a number is divisible by 12, we need to check if it is divisible by both 3 and 4.
First, let's check if 563 is divisible by 3.
If the sum of the digits of a number is divisible by 3, then the number itself is divisible by 3.
The sum of the digits of 563 is 5 + 6 + 3 = 14. Since 14 is not divisible by 3, we conclude that 563 is not divisible by 3.
Next, let's check if 563 is divisible by 4.
If the last two digits of a number are divisible by 4, then the entire number is divisible by 4.
The last two digits of 563 are 63, and 63 is not divisible by 4. Therefore, we conclude that 563 is not divisible by 4.
Since 563 is not divisible by either 3 or 4, it is also not divisible by 12.
Therefore, there is no number that can be subtracted from 563 to make it exactly divisible by 12.