1. Natural Number

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2. Whole number

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3. Integers

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4. Even number

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5. Odd number

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6. Prime number

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7. Composite number

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8. Coprime

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9. Rational number

10. Irrational number

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11. Real numbers

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There are various types of number as followNature number are counting number and these are denoted by i.e., All natural number are positive.Zero is not a natural number, therefore 1 is the smallest natural number.All natural number and zero form the set of whole number and these are denoted by W,i.e, Zero is the smallest whole numberWhole number are also called as non-negative integers.Whole number and negative number form the set of integers and there are denoted by i.e., Integers are of following two typesNatural numbers are called as positive integers and these are denoted by i.e., Negative of natural number are called as negative integers and these are denoted by i.e., 0 is neither +ve nor -ve integers.A counting number which is divisible by 2, is called an even number2,4,6,8,10,12,....etc.The unit's place of every even number will be 0,2,4,6, or 8.A counting number which is not divisible by 2, is called an odd number1,3,5,7,9,11,13,15,17,....etc.The unit's place of every odd number will be 1,3,5,7 or 9.A counting number is called a prime number when it is exactly divisible by only 1 and itself.2,3,5,7,11,13,.... etc.2 is the only even number which is prime.A prime number is always greater then 1.1 is not a prime number therefore the lowest odd prime number is 3.Every prime number greater than 3 can be represented by 6n+1, where n is integer.Composite number are non-prime natural number. They must have atleast one factor apart from 1 and itself.4,6,8,9,..etc.composite number can be both odd and even.1 is neither a prime number nor a composite number.Two natural number are said to be coprime, if their common divisor is 1(7,9), (15,16), etc.coprime number may or may not be prime.Every pair of consecutive number is coprime.A number that can be expressed in the form of p/q is called a rational number, where p,q are integers and The number that cannot be expressed i form of p/q are called irrational number, where p,q are integers and is an irrational number as 22/7 is not the actual value of but it is its nearest value.Non-periodic infinite decimal fractions are called irrational numbers.Real number includeational and irrational number. They are denoted by For example