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Answered 2011-07-13 03:11:45

A number which is divisible by both 2 & 3 is a multiple of 6 i.e. the number is divisible by 6.

So, we need to find out the smallest 5 digit number divisible by 6(or 2 & 3).

Smallest 5 digit number = 10000

Dividing 10000 by 6, we get

10000 = 6 x 1666 + 4

9996 = 6 x 1666

If we add 6 to 9996 we obtain a number which is divisible by 6.

6 + 9996 = 10002(divisible by 6).

So, the smallest five digit number divisible by 6 is 10002.

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Here is another one that's smaller than 10,002 and satisfies

the other specifications stated in the question:

6.0000

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