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A "perfect number" is defined to be a number such that all of its factors - smaller than the number itself - add up to the number. Examples:

6 = 1 + 2 + 3

28 = 1 + 2 + 4 + 7 + 14

11 is not equal to its only factor (smaller than itself), the number 1.

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16y ago

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Can a perfect number also be a prime number and how?

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By the fact that it is a PRIME Number, it does NOT factorise, except for itself and '1'. They named prime numbers because they do factorise. NB Except for '2' all prime numbers are odd numbers. However, NOT all odd numbers are prime number. Odd numbers ending in 1,3,7,& 9. can be prime numbers. Odd numbers ending in '5' are NOT prime number So to test for a prime number. If it is EVEN , ending in 0,2,4,6,8 , it is NOT a Prime Number. It is ends in '5' it is NOT a prime Number. If the digits sum to '9' it is NOT a Prime Number. e.g. 531 ; 5 + 3 + 1 = 9 So 531/ 9 = 59 So it is NOT a Prime number. Then divide the given number by '3' or '7', if there isa remainder then it is a prime number. So 1253 Try '3' = 417 remainder '2' Try '7' =179 So 1253 is NOT a prime number.


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