# Types of Numbers

• ## Square Numbers

• ### Factors of   50=  1,2,5,10,25,50

•  1 is a factor of every number and is the smallest factor.

# Multiples :-

### If a number is multiplied the natural numbers 1,2,3,.. then the products are called multiples of a given number.

• Multiples of   2 = 2, 4, 6, 8, 10, 12,14, ………
• Multiples of   5= 5, 10, 15, 20,25,……
• Multiples of   10=  10, 20, 30, 40, 50, 60, 70, ……
• Every  number is a  multiple of itself.
• Every  number is a  multiple of one.
• There are infinite number of multiples for a natural number

## ·      Which number has exactly two factors, namely 1 and itself, is called a prime number.

### 2, 3, 5, 7, 11, 13,17, 19, 23, 29, 31, 37, 41,43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97   etc. are all prime numbers.

Composite Numbers :

Numbers having more than two factors are known as composite numbers.

Numbers which can be divided by at least one of the number  other than 1 and itself are known as composite  numbers

A number which has at least one more factor other than 1 and itself is called  composite number.

# The only prime triplet is { 3, 5, 7}

Perfect Number:-

If the sum of all the factors of a number is  two times the number then the number is called a perfect number.

• 6 is a perfect number, since the factor of 6 are 1, 2, 3, 6 and (1+2+3+6)= (2 ×6)

• 28 is a perfect number, since  the factor of 28  are 1, 2, 4, 7, 14, 28  and
• (1+2+4+7 +14+28)=(2 ×28)
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