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E:\Working\Focus_Learning\Math_Genius_5_(05-10-2023)\Open_Files\CHAP_03
              \\February 16, 2024 2:20 PM   Surender Prajapati   Proof 5   Reader _________________________   Date: ___________________74





              test oF divisiBility

               A number
               is divisible                divisibility rule                                examples
                    by
                             if the digit at its ones place is 0, 2, 4, 6    252, 1484, 5498 and 3200 are
                    2        or 8.                                           divisible by 2.

                             if the sum of the digits of a number is         6381 is divisible by 3. As (6 + 3 + 8 +
                    3        divisible by 3.                                 1 = 18, and 18 ÷ 3 = 6).


                             if the number formed by last two digits         328 is divisible by 4. As, number
                    4        (tens and ones digit) of the number is          formed by last 2 digits is divisible by
                             divisible by 4.                                 4, i.e., 28 ÷ 4 = 7.
                             if the digit at its ones place is either 0 or   475, 500 and 2555 are divisible by 5.
                    5        5.


                             if the number is divisible by both 2 and 3. 3144 is divisible by 2 and 3 (As 3 + 1
                    6                                                        + 4 + 4 = 12 which is divisible by 3).


                             if the number formed by last three digits       4328 is divisible by 8. As, number
                    8        (hundreds, tens and ones digit) of the          formed by last 3-digits is divisible by
                             number is divisible by 8.                       8, i.e., 328 ÷ 8 = 41.

                             if the sum of the digits of a number is         6192 is divisible by 9. As, 6 + 1 + 9 +
                    9        divisible by 9.                                 2 = 18, which is divisible by 9.


                             if the digit at the ones place is 0.            1050, 3000 and 5500 are divisible by
                    10                                                       10.

                             if the difference of sum of digits at odd       25861 is divisible by 11.

                    11       places and sum of digits at even places is      As [(2 + 8 + 1) – (5 + 6) = (11 – 11)
                             0 or divisible by 11.
                                                                             = 0



                 A number  is  divisible  by  7,  if  the  difference between  twice  the         Subject Enrichment
                 ones digit of the given number and the remaining part of the given                     383 6
                 number should be a multiple of 7 or it should be equal to 0.

                 For example: 3836 is divisible by 7. As                                                    6 × 2 = 12
                                                                                                    383 – 12 = 371
                 383 – 2 × 6 = 383 – 12 = 371 and 371 ÷ 7 = 53.






                       Think and Answer
                    Take the help of the Internet and find the pin code of your area. Is
                    your area pin code divisible by 11?



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