Math, asked by dhishamohan2, 3 months ago

a perfect number is a number that is half the sum of all of its positive divisors (including itself) *​

Answers

Answered by amitnrw
1

Given : a perfect number is a number that is half the sum of all of its positive divisors (including itself) *​

To Find :  1st two perfect numbers

Solution:

A Perfect Number   is a positive integer which is equal to the sum of its factors

Perfect number is a number that is sum of all of its positive divisors ( excluding itself )

Divisors of 6 are  1 , 2  , 3

6 = 1 + 2 + 3

or

perfect number is a number that is half the sum of all of its positive divisors ( including itself )

Divisors including number of 6 are 1 , 2 , 3 & 6

(1 + 2 + 3 + 6)/2 = 6

Next number is  28

28 = 1 + 2 + 4 + 7 + 14

(1 + 2 + 4 + 7 + 14  + 28)/2 = 28

6 and 28 are 1st two Perfect numbers

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