SOLUTION: if you have a 93 sweets then how would you divide them equally into your bags. each bag contain equal number of sweets ?
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if you have 93 sweets then how would you divide them equally into your bags.
each bag contain equal number of sweets ?
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This problem is very special. It says "distribute sweets equally into your bags", but does not specify
how many bags are there.
So, we should analyze/represent all possible cases.
The number 93 is a composite number. It has several decompositions into the products of prime numbers
93 = 1*93 = 3*31 = 31*3 = 93*1.
According to these multiple decompositions, there are several cases.
(1) If there is one bag, you place there all 93 sweets into this bag..
(2) If there are 3 bags, you place 31 sweets into each bag.
(3) If there are 31 bags, you place 3 sweets into each bag.
(4) If there are 93 bags, you place 1 sweet into each bag.
Thus all possible cases are covered.
Solved.
This problem is to connect the conception of prime decomposition with other
interesting ideas in your young mind - for better understanding.