Gujarat BoardEnglish MediumSTD 6MATHSPlaying with numbers3 Marks
Question
Define a perfect number. Write two perfect numbers.
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Answer
A perfect number is a positive number that equals the sum of its divisors, excluding itself.
Divisors of $6 = 1, 2, 3$
Divisors of $28 = 1, 2, 4, 7, 14, 28$
In $6$, the sum of divisors except itself, $1 + 2 + 3$ is $6.$
In $28$, the sum of divisors except itself, $1 + 2 + 4 + 7 + 14$ is $28.$
Two perfect numbers are $6$ and $28.$
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