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Greatest = 9,999Smallest = 1,008
Even numbers are divisible by two, and half of all numbers are even, so there is a 50 percent chance that a four-digit number is divisible by two.
The integers divisible by those 5 numbers are exactly the multiples of 1008. The largest multiple of 1008 which is still a four-digit number is 9*1008 = 9072.
There are 278 5-digit numbers less than 20,000 that are divisible by both four and nine.
It is 9996