12 is the Lowest Common Multiple
If a number is divisible by both three and four, it's divisible by twelve.
A number is divisible by 12 if it is divisible by 3 AND it is divisible by 4. Rule 1a (Divisibility by 3): Add up all the digits of the number. Is this number divisible by 3? Rule 1b (Divisibility by 4): Is the number formed by the last two digits of the original number (the number left after deleting the hundreds, thousands, millions etc) divisible by 4? If the answer to 1a is NO, then the number is not divisible by 3 and so not divisible by 12. In this case, obviously, rule 1b is irrelevant. If the answer to 1b is NO, then the number is not divisible by 4 and so not divisible by 12. If the answer to both 1a and 1b is YES, then the number is divisible by 12.
Yes.
12
The chances of you finding a number divisible by 4 is 1/4 (because out of every four numbers, 1 of them is divisible by 4), and a 1/3 chance of finding a number divisible by 3 (see above). If we add them up, we get the chance, 1/4+1/3= 3/12+4/12. Now this would be saying that finding numbers that would be divisible by 12 (the ones divisible by 3 AND 4) would count twice, and we don't want that. To counter this, we have to subtract the chances of you finding a multiple of 12 once (so that the chances of finding the multiple of 12 would count ONCE). This translates to 3/12+4/12-1/12=6/12=1/2. :)
That the number is divisible by 4* and the sum of its digits is a multiple of 3. *If the number has three of more digits then it is only necessary to look at the tens and units to determine if it is divisible by 4, as 4 is a factor of 100 and therefore of any multiple of 100. Examples : 75 : is not divisible by 4 although its digits total 12 which is a multiple of 3. 132 : is divisible by 4 as 32 is divisible by 4, and its digits total 6 which is divisible by 3, then 132 is divisible by 12.
the least number divisible by 1, 2, 3, 4 & 6 is 12.
To be divisible by 3 and 4 the number must be divisible by 12. 201/12 = 16.75 so the smallest number in the range, divisible by 12, is 17*12 = 204 301/12 = 25.08 so the largest number in the range, divisible by 12, is 25*12 = 300 The number of multiples of 12 is 25 - 16 = 9
Yes. 2442 = 3 x 814. A quick way to check whether a number is divisible by 3 is to add the digits of the number together - if the total is evenly divisible by 3 then the original number is divisible by 3. 2 + 4 + 4 + 2 = 12 and 12 ÷ 3 = 4
How about: 12
If the digits of a number add up to a number divisible by three, it's divisible by three. Ex. Is 4,895 divisible by 3? 4+8+9+5=26 26 is not divisible by 3 No. Is 246 divisible by 3? 2+4+6=12 12 is divisible by 3 Yes!