Question

which is the largest 4 digit number divisible by 2 and 3

Answer 1

If a number is divisible by both 2 and 3, then it has to be divisible by 6. So, what you need to do, is simply figure out the multiple of 6 which is just less than 10,000

When we divide 10,000 by 6, the remainder is 4.

So, the required answer will be 10,000 - 4 = 9996

Answer 2

ANSWER:

The number is 9996.

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EXPLANATION:

Find LCM:

LCM = 2 x 3 = 6

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Find greatest 4-digit number:

Greatest = 9999

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Find greatest 4-digit number divisible by 6 :

9999 ÷ 6 = 1666.5

Number = 1666 x 6 = 9996

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9996 is the greatest 4-digit number that is divisible by 2 and 3.