1. Check whether 6509 is divisible by 23 or not?Solution:Divisibility rule of 23 :
7 times the last digit and add it to the rest of the number.
If the answer is divisible by 23, then number is also divisible by 23.
(Apply this rule to the answer again if necessary)
`650color{red}{9}=>650 + color{red}{9} xx 7 = 650 +63 = 713`
`71color{red}{3}=>71 + color{red}{3} xx 7 = 71 +21 = 92`
Here 92 is divisible by 23.
`:.` 6509 is divisible by 23.
2. Check whether 8027 is divisible by 23 or not?Solution:Divisibility rule of 23 :
7 times the last digit and add it to the rest of the number.
If the answer is divisible by 23, then number is also divisible by 23.
(Apply this rule to the answer again if necessary)
`802color{red}{7}=>802 + color{red}{7} xx 7 = 802 +49 = 851`
`85color{red}{1}=>85 + color{red}{1} xx 7 = 85 +7 = 92`
Here 92 is divisible by 23.
`:.` 8027 is divisible by 23.
3. Check whether 8786 is divisible by 23 or not?Solution:Divisibility rule of 23 :
7 times the last digit and add it to the rest of the number.
If the answer is divisible by 23, then number is also divisible by 23.
(Apply this rule to the answer again if necessary)
`878color{red}{6}=>878 + color{red}{6} xx 7 = 878 +42 = 920`
`92color{red}{0}=>92 + color{red}{0} xx 7 = 92 = 92`
Here 92 is divisible by 23.
`:.` 8786 is divisible by 23.
4. Check whether 6146 is divisible by 23 or not?Solution:Divisibility rule of 23 :
7 times the last digit and add it to the rest of the number.
If the answer is divisible by 23, then number is also divisible by 23.
(Apply this rule to the answer again if necessary)
`614color{red}{6}=>614 + color{red}{6} xx 7 = 614 +42 = 656`
`65color{red}{6}=>65 + color{red}{6} xx 7 = 65 +42 = 107`
`10color{red}{7}=>10 + color{red}{7} xx 7 = 10 +49 = 59`
Here 59 is not divisible by 23.
`:.` 6146 is not divisible by 23.
5. Check whether 7011 is divisible by 23 or not?Solution:Divisibility rule of 23 :
7 times the last digit and add it to the rest of the number.
If the answer is divisible by 23, then number is also divisible by 23.
(Apply this rule to the answer again if necessary)
`701color{red}{1}=>701 + color{red}{1} xx 7 = 701 +7 = 708`
`70color{red}{8}=>70 + color{red}{8} xx 7 = 70 +56 = 126`
`12color{red}{6}=>12 + color{red}{6} xx 7 = 12 +42 = 54`
Here 54 is not divisible by 23.
`:.` 7011 is not divisible by 23.
6. Check whether 8079 is divisible by 23 or not?Solution:Divisibility rule of 23 :
7 times the last digit and add it to the rest of the number.
If the answer is divisible by 23, then number is also divisible by 23.
(Apply this rule to the answer again if necessary)
`807color{red}{9}=>807 + color{red}{9} xx 7 = 807 +63 = 870`
`87color{red}{0}=>87 + color{red}{0} xx 7 = 87 = 87`
Here 87 is not divisible by 23.
`:.` 8079 is not divisible by 23.
This material is intended as a summary. Use your textbook for detail explanation.
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