A boy with a collection of marbles realizes that if he makes a group of 5 or 6 marbles at a time there are always 2 marbles left. can you explain why the boy cannot have prime number of marbles?
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number of marbles is 5n+2 or 6m+2 ,i.e., a multiple of 5 or 6 plus 2 marbles. Hence number of marbles must be a multiple 5x6 or 30 plus even number 2. Hence number of marbles cannot be a prime number.
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Answer:
IT AN EVEN NUMBER ONLY.
IT HAVING MORE THAN 2 FACTORS THAT IS 1,5,6,AND THE NUMBER IT SELF SO ITS NOT A PRIME NUMBER.
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