The question is given below.
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Answer:
The amicable numbers are two different numbers (a pair of numbers) so related that the sum of the proper divisors (excluding the number itself) of one of the numbers is equal to the other. A proper divisor of a number is a divisor other than the number itself. It is also known as friendly numbers.
The sum of the divisor of the first number = The sum of the divisor of the second number
The sum of the divisor of the second number = The sum of the divisor of the first number
The smallest pair of amicable numbers is (220, 284). Because:
The divisor of 220 are: 1,2,4,5,10,11,20,22,44,55,and 110
The sum of divisor of 220 is = 284
The divisor of 284 are: 1,2,4,71,142
The sum of divisor of 284 is = 220
We observe that the sum of the divisors of the first number is equal to the second number, and the sum of divisor of the second number is equal to the first number. Hence, the given pair (220, 284) is an amicable pair.