Write the greatest 3- digit numbers and express it in terms of prime factor.
Or Find the least number which when divided by 6,7,8,9 and 12 leaves the same remainder 2 in each case.
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999 greatest 3 digit number.
Prime factorization of 999=3^3(37).
And
504 is the least number which is exactly divisible by 6 ,7 ,8 ,9 and 12.
So, 504+2=506 will be the number which is divided by 6, 7, 8, 9, and 12 leaves the same remainder 2 in each case.
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