{"id":10904,"date":"2026-11-02T02:04:39","date_gmt":"2026-11-02T02:04:39","guid":{"rendered":"https:\/\/kapdec.com\/help\/?p=10904"},"modified":"2026-11-02T02:04:39","modified_gmt":"2026-11-02T02:04:39","slug":"classification-of-numbers-2","status":"publish","type":"post","link":"https:\/\/kapdec.com\/help\/classification-of-numbers-2\/","title":{"rendered":"Classification Of Numbers."},"content":{"rendered":"
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KAPDEC® | Elite STEM Learning Platform | https:\/\/kapdec.com<\/a><\/p>\n

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Unit<\/strong>: Number System<\/h2>\n

Chapter<\/strong>: Classification of Numbers<\/h3>\n

Reference<\/strong>: – Natural Numbers, Whole Numbers, Integers, Rational Numbers, Irrational Numbers, Real Numbers, Prime & Composite Numbers, Even & Odd Numbers, Relationship Between Number Sets<\/em><\/p>\n

After studying this chapter, you should be able to understand:<\/p>\n

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  • Natural Numbers (Counting Numbers)<\/li>\n
  • Whole Numbers & Their Relationship with Natural Numbers<\/li>\n
  • Integers & Their Subsets<\/li>\n
  • Rational Numbers & Their Decimal Forms<\/li>\n
  • Irrational Numbers & Their Identification<\/li>\n
  • Real Numbers as the Union of Rational and Irrational Numbers<\/li>\n
  • Prime, Composite, Even & Odd Numbers<\/li>\n
  • Venn Diagram of Number Sets<\/li>\n<\/ul>\n

    Classification of Numbers<\/strong><\/p>\n

     <\/p>\n

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    • Perfect Number- <\/strong>A number, whose sum of all its factors is twice the number is called a perfect number.<\/li>\n<\/ul>\n

       <\/p>\n

      Example- <\/strong>Factors of 6 = 1, 2, 3, 6<\/p>\n

                     Sum of its Factors = 1 + 2 + 3 + 6 = 12 = 2 × 6<\/p>\n

                     So, 6 is a perfect number.<\/p>\n

       <\/p>\n

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      • Prime and Composite Numbers-<\/strong><\/li>\n<\/ul>\n

         <\/p>\n

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        • The numbers (other than 1) which are divisible only by 1 and the number itself are prime numbers. <\/strong>They are the building blocks of all counting numbers. A prime number has only 2 factors, i.e., 1 and the number itself.<\/li>\n<\/ul>\n

           <\/p>\n

          Example- <\/strong>13 is a prime number<\/p>\n

          Factors of 13 = 1 and 13<\/p>\n

           <\/p>\n

          Did you know?<\/u><\/strong><\/p>\n

           <\/p>\n

          A Strange Prime Number: 73,939,133<\/strong><\/p>\n

          If we keep removing a digit from the right-hand end of the number, each of the remaining number is also prime. It is the largest number known with this property.<\/p>\n

           <\/p>\n

          Can you find other such prime numbers?<\/p>\n

           <\/p>\n

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          • The numbers which has more than 2 factors are called composite numbers. <\/strong>We can get any composite number by multiplying a set of prime numbers.<\/li>\n<\/ul>\n

             <\/p>\n

            Example- <\/strong>12 is a composite number.<\/p>\n

            Factors of 12 = 1, 2, 3, 4, 6 and 12<\/p>\n

            Also, 12 = 2 × 2 × 3<\/p>\n

             <\/p>\n

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            • Any pair of prime numbers with a difference of 2 are called twin-primes.<\/strong><\/li>\n<\/ul>\n

               <\/p>\n

              Example- <\/strong>3 and 5, 5 and 7, 11 and 13.<\/p>\n

               <\/p>\n

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              • Two numbers whose only common factor is 1 are called co-primes.<\/strong><\/li>\n<\/ul>\n

                 <\/p>\n

                Example- <\/strong>6 and 7, 9 and 11, 14 and 27<\/p>\n

                 <\/p>\n

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                • Odd and Even Numbers-<\/strong><\/li>\n<\/ul>\n

                   <\/p>\n

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                  • All the counting numbers which are divisible by 2 are called even numbers.<\/strong><\/li>\n<\/ul>\n

                     <\/p>\n

                    Examples-<\/strong> 2, 4, 6, 8, 10, ..<\/p>\n

                     <\/p>\n

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                    • All the counting numbers which are not divisible by 2 are called odd numbers.<\/strong><\/li>\n<\/ul>\n

                       <\/p>\n

                      Examples- <\/strong>1, 3, 5, 7, 9, 11, ..<\/p>\n

                       <\/p>\n

                       <\/p>\n

                      Do Remember<\/strong><\/p>\n

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                      • 1 is neither prime nor a composite number.<\/li>\n<\/ul>\n

                         <\/p>\n

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                        • 2 is the only even prime number<\/strong>. It is also the smallest prime number.<\/li>\n<\/ul>\n

                           <\/p>\n

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                          • Any two consecutive numbers are co-primes.<\/li>\n<\/ul>\n

                            <\/p>\n