The number in question is divisible by 3 and 4.
A number is divisible by 3 if the sum of the digits is divisible by 3.
A number is divisible by 4 if the last two digits is divisible by 4.
963,411,024
divisible by 3 because 48 is divisible by 3 and
24 is divisible by 4, therefore 12 is a GO!
If the number is divisible by both 3 and 4.
then the number is then divisble by 12.
The divisibility rule for three is to add up all the numbers in the number- if the number is a multiple of three, then the number you started with is divisible by three. Example- 91 you do 9+1=10, so that (91) is not a multiple of three. Extra example- 21 2+1=3 and three is a multiple of three.
The divisibility rule for four is one I made myself- That is if the number is even slip it in half or divide by two, once you have done that check if the number is even- If it is, that number is a multiple of four, if not that number is not. Example- 30 30÷2=15 which is not even, so that means that 30 is not a multiple of four. Extra example- 148 148÷2=74 which is even, so 148 is a multiple of four.
If the number is divisible by 3 and four, then it is divisible by 12.
Divisible by 3-
If all of the digits in the number add up to a multiple of three, then that original number is divisible by three
Divisible by 4-
If the last two digits in a number are divisible by four, then that original number is divisible by 4.
Example: 36
Divisible by 3?
3+6= 9
9/3=3, so it is divisible by three.
Divisible by 4?
Of course, we know that 36 is divisible by 4 (36/9=4)
So 36 is divisible by 4
Therefore, we know 36 is divisible by 12
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12
You have to use the rules of 4 and 9 Using the rules of 2 and 18 won't work because the smallest common multiple of 2 and 18 is 18 not 36. 3 and 12 won't work either because the smallest common multiple of 3 and 12 is 12 not 36. However 4 and 9 does work because their biggest common divisor is 1 so multiplying them works. The biggest common divisor of 2 and 18 is 2 and the biggest common divisor of 3 and 12 is 3
144 is divisible by: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72 and 144.
You could combine the tests for divisibility by 3 and 4. To test for divisibility by three, add all the digits together and see if they're divisible by three. If necessary, you can keep repeating the addition until you come up with a single-digit number. To test for divisibility by four, take the last two digits. If that two-digit number is divisible by four, then the whole number is. This is because any multiple of 100 is divisible by 4, so only the last two digits matter. Combined, these two tests will allow you to quickly check for divisibility by 12.
2,3,9,6