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44                                                                                                  Maths


         Divisible by                         Rules                                      Examples

                2         If the last digit of any number is 0, 2, 4, 6  50, 52, 44, 36, 168 are divisible by 2.
                          and 8, then that number is divisible by 2.

                3         If the sum of digits of any number  381 (3 + 8 + 1 = 12 and 12 ÷ 3 = 4), So,
                          is  divisible  by  3,  then  that  number  is  381 is divisible by 3.
                          divisible by 3.

                4         If the last two digits of the given number  23,57,924:  the  last  two  digit  is  24,
                          is  divisible  by  4,  then  the  number  is  which is divisible by 4. So, 23,57,924
                          divisible by 4.                                 is divisible by 4.

                5         If the last digit of the given number is 0 or  23,57,925: is divisible by 5 as its last
                          5, then the number is divisible by 5.           digit is 5.
                6         If the given number is divisible by both 2  21,57,924 is divisible by 6, because

                          and 3, it is divisible by 6.                    its last digit is 4, divisible by 2 and
                                                                          (2 + 1 + 5 + 7 + 9 + 2 + 4) = 30 ÷ 3 = 10,
                                                                          divisible by 3.

                7         To  find  whether  a  number  is  divisible  161: double the last digit 1 as
                          by  7, take the last digit and double it,  2 × 1 = 2 and 16 – 2 = 14 divisible
                          subtract it from rest of the number, if the  by 7.
                          difference is divisible by 7 (including 0),
                          then the original number is divisible by 7.

                8         If the last three digits  of a number is  2448:  Here,  the  last  3-digit  is
                          divisible by 8, then the number is divisible  448 ÷ 8 = 56, so 2448 is divisible by 8.
                          by 8.

                9         If the sum of digits is divisible by 9, then  52,866: (5 + 2 + 8 + 6 + 6) = 27, divisible
                          the number is divisible by 9.                   by 9.
               10         If the number ends with 0, it is divisible  4670: Divisible by 10.
                          by 10.

               11         If  the  difference  of  sum  of  digit  at  odd  6,45,634  [(4  +  6  +  4)  –  (3  +  5  +  6)]
                          places and sum of digits at even places of  = 14 – 14 = 0. So, 6,45,634 is divisible

                          the given number is 0 or divisible by 11,  by 11.
                          then the number is divisible by 11.

                                                                                  Fact-o-meter

                                                                                Always consider the first place
                                                                                from the right as an odd place.
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