# Number System

May 19th, 2015
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Natural Numbers: All +ve integers are natural numbers Ex: 1, 2, 3,-----so on. Prime Numbers: A natural number larger than unity is a prime number if it does not have other divisors except for itself and unity.

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Number SystemNatural Numbers: All +ve integers are natural numbers Ex: 1, 2, 3,-----so on.Prime Numbers: A natural number larger than unity is a prime number if it does not have other divisors except for itself and unity.Lowest prime number is 2. 2 is also the only even prime number.The lowest odd prime number is 3The remainder when prime number >= 5 is divided by 6 is 1 or 5.The remainder of the division of the square of a prime number p>=5 by 24 & 12 is 1.For prime number p>3, p^2-1 is divisible by 24.If a & b are any two odd prime then a^2-b^2 is composite. Also a^2+b^2 is composite.Check whether a Number is Prime or not. 1. Take the square root of the number. 2. Round off the square root to the next higher integer. Call this number p. 3. Check for divisibility of the number N by all prime numbers below p. If there is no prime number below the value of p which divides N then the number N will be prime.Integers: A set which consists of natural numbers, negative integers & 0 is known as the set of integers.Composite Number: It is a natural number that has at least one divisor different from unity & itself.Whole Number: The set of numbers that include all natural numbers & 0 are the whole numbers.Real Numbers: All numbers that can be represented on the number line are called real numbers.Rational Numbers: A rational number is defined as number of the form a/b where a & b are integers & b!=0. The s

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