All multiples of 90 are divisible by 9 and 10; thus all multiples of 90 between 100 and 999 inclusive solve the problem, that is any of:
180, 270, 360, 450, 540, 630, 720, 810, 900, 990.
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990.
There is no 4-digit number that is divisible by 2356 and 10.
If you multiply 2*9, you get 18. Multiply that by 10 to get a three digit number, and you get 180.
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.
There is no such number. The smallest number divisible by 2356 and 10 is 11780.