9990 is one such number.
A five-digit number that is divisible by both 9 and 4 must meet the criteria for divisibility by these numbers. A number is divisible by 9 if the sum of its digits is divisible by 9, and it is divisible by 4 if the last two digits form a number that is divisible by 4. The smallest five-digit number is 10,000, and the largest is 99,999; thus, any five-digit number that meets these criteria can be calculated by finding the least common multiple of 9 and 4, which is 36, and checking multiples of 36 within that range. For example, 10,008 is a five-digit number divisible by both 9 and 4.
2400
A 4-digit number divisible by both 5 and 9 must be divisible by their least common multiple, which is 45. To find a 4-digit number divisible by 45, we need to find a number that ends in 0 and is divisible by 45. The smallest 4-digit number that fits these criteria is 1005 (45 x 22 = 990, and adding 15 gives us 1005).
Any number whose last digit is 0 would be divisible by both these numbers. 1000, 1010, 1020...
smallest 4-digit number divisible by 2 = 1000
There is no number that is "divisible by 4" and "not divisible by 4" at the same time - a number cannot be both a multiple of 4 and not a multiple of 4.
2400
A 4-digit number divisible by both 5 and 9 must be divisible by their least common multiple, which is 45. To find a 4-digit number divisible by 45, we need to find a number that ends in 0 and is divisible by 45. The smallest 4-digit number that fits these criteria is 1005 (45 x 22 = 990, and adding 15 gives us 1005).
3000 is one possibility
If the last two digits are divisible by 4 then the number is divisible by 4. Thus, if the tens digit is even and the units digit is 0 or 4 or 8 OR if the tens digit is odd and the units digit is 2 or 6 then the number is divisible by 4.
Any number whose last digit is 0 would be divisible by both these numbers. 1000, 1010, 1020...
smallest 4-digit number divisible by 2 = 1000
There is no 4-digit number that is divisible by 2356 and 10.
There is no limit to the number of digits.If, for example, a X is a k-digit number which is divisible by 4 then 10*X is divisible by 4 and 10*X will be a (k+1)-digit number.
To find a 4-digit number that is divisible by both 8 and 9, we need to find a number that is a multiple of the least common multiple of 8 and 9, which is 72. Starting from the smallest 4-digit multiple of 72, which is 1008, we can find the next number by adding 72 until we reach a 4-digit number. Therefore, the smallest 4-digit number that is divisible by both 8 and 9 is 1008.
There is no 4-digit number that is divisible by zero.
12 is the smallest 2 digit number divisible evenly by 4