Question

Show that 496 is a perfect number.

Answer 1

A number is considered a perfecrt number if the sum of all its factors is equal to twice the number.

Factors of 496 are = 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Sum of all the factors = 1 + 2 + 4 + 8 + 16 + 31 + 62 + 124 + 248 + 496
= 992 = 496×2‬

Hence 496 is a perfect number.