Every sixth number from 1,002 to 9,996 is divisible by 3 and 6. There are 1,500 of them.
3333
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 4.963,411,024divisible by 3 because 48 is divisible by 3 and24 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 threeDivisible by 4-If the last two digits in a number are divisible by four, then that original number is divisible by 4.Example: 36Divisible by 3?3+6= 99/3=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 4Therefore, we know 36 is divisible by 12
Algebra
1008 is one such.
1002 is the smallest 4 digit number divisible by 3 and 2.
There can be no such number.
Every sixth number from 1,002 to 9,996 is divisible by 3 and 6. There are 1,500 of them.
3333
If a number is divisible by both three and four, it's divisible by twelve.
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 4.963,411,024divisible by 3 because 48 is divisible by 3 and24 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 threeDivisible by 4-If the last two digits in a number are divisible by four, then that original number is divisible by 4.Example: 36Divisible by 3?3+6= 99/3=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 4Therefore, we know 36 is divisible by 12
Any number (however many digits) that is divisible by 3 and by 4 MUST be divisible by 6. So there cannot be a number that meets the requirements of the question.
6000
Algebra
Converse:If a number is divisible by 3, then every number of a digit is divisible by three. Inverse: If every digit of a number is not divisible by 3 then the number is not divisible by 3? Contrapositive:If a number is not divisible by 3, then every number of a digit is not divisible by three.
9996
1008 is one such.