Perfect Numbers

Numbers and Numerals	Composite Numbers	Prime Numbers	Facts (Prime Numbers)	Even Numbers
Odd Numbers	Natural Numbers	Whole Numbers	Predecessor Number	Successor Number
Number Expansion	Number Comparison	Literal Numbers	Roman Numbers	Coprime Numbers
Perfect Numbers	Multiplication Properties of Numbers	Order of Numbers	Sieve of Eratosthenes	Number line
Square Numbers	Shortcut Method of Numbers	Cube Numbers	Real Numbers

Definition :- A given number for which sum of all its factors is equal to it's twice, the number is known as A Perfect Number Read the following examples to understand more about Perfect Numbers Examples 1 = Is given number 6 a prime number ? Answer = Find the factors of given number 6 Factors of 6 = 1, 2, 3, 6. Now, add all the above factors. Sum = 1 + 2 + 3 + 6 = 12 Now, you can calculate that twice of given number 6 = 12 Since the sum of all the factors of 6 is equal to its twice So, we can say that 6 is a perfect number. Examples 2 = Is given number 9 a prime number ? Answer = Find the factors of given number 9. Factors of 9 = 1, 3, 9. Now, add all the above factors. Sum = 1 + 3 + 9 = 13 Now, you can calculate that twice of given number 9 = 18 Since the sum of the factors of 9 is not equal to its twice Hence, we can say that 9 is not a perfect number. Examples 3 = Is given number 28 a prime number ? Answer = Find the factors of given number 28 Factors of 28 = 1, 2, 4, 7, 14, 28. Now, add all the above factors. Sum = 1 + 2 + 4 + 7 + 14 + 28 = 56 Now, you can calculate that twice of given number 28 = 56 Since, the sum of all the factors of 28 is equal to its twice So, we can say that 28 is a perfect number.