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6561 if u notice is 3^8...n can be divided by 3(prime factor) only...we keep on dividing it into sets of 3 and in 1 weighing itself you can determine which set is heavy. Divide that set into further 3 lots...keep doing that..

6561

2187 2187 2187 1st weighing

729 729 729

243 243 243

81 81 81

27 27 27

9 9 9

3 3 3

1 1 1

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Q: There are 6561 balls out of them 1 is heavy Find the min no of times the balls have to be weighed for finding out the heavy ball?
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