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Home > Pre-Algebra calculators > Divisibility rule example
Divisibility rule of 43 example ( Enter your problem )
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42. Divisibility rule of 42 example
(Previous example)		44. Divisibility rule of 44 example
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43. Divisibility rule of 43 example


1. Check whether 12083 is divisible by 43 or not?

Solution:
Divisibility rule of 43 :
13 times the last digit and add it to the rest of the number.
If the answer is divisible by 43, then number is also divisible by 43.
(Apply this rule to the answer again if necessary)

`1208color{red}{3}=>1208 + color{red}{3} xx 13 = 1208 +39 = 1247`

`124color{red}{7}=>124 + color{red}{7} xx 13 = 124 +91 = 215`

`21color{red}{5}=>21 + color{red}{5} xx 13 = 21 +65 = 86`

Here 86 is divisible by 43.
`:.` 12083 is divisible by 43.


2. Check whether 13631 is divisible by 43 or not?

Solution:
Divisibility rule of 43 :
13 times the last digit and add it to the rest of the number.
If the answer is divisible by 43, then number is also divisible by 43.
(Apply this rule to the answer again if necessary)

`1363color{red}{1}=>1363 + color{red}{1} xx 13 = 1363 +13 = 1376`

`137color{red}{6}=>137 + color{red}{6} xx 13 = 137 +78 = 215`

`21color{red}{5}=>21 + color{red}{5} xx 13 = 21 +65 = 86`

Here 86 is divisible by 43.
`:.` 13631 is divisible by 43.


3. Check whether 16211 is divisible by 43 or not?

Solution:
Divisibility rule of 43 :
13 times the last digit and add it to the rest of the number.
If the answer is divisible by 43, then number is also divisible by 43.
(Apply this rule to the answer again if necessary)

`1621color{red}{1}=>1621 + color{red}{1} xx 13 = 1621 +13 = 1634`

`163color{red}{4}=>163 + color{red}{4} xx 13 = 163 +52 = 215`

`21color{red}{5}=>21 + color{red}{5} xx 13 = 21 +65 = 86`

Here 86 is divisible by 43.
`:.` 16211 is divisible by 43.


4. Check whether 11516 is divisible by 43 or not?

Solution:
Divisibility rule of 43 :
13 times the last digit and add it to the rest of the number.
If the answer is divisible by 43, then number is also divisible by 43.
(Apply this rule to the answer again if necessary)

`1151color{red}{6}=>1151 + color{red}{6} xx 13 = 1151 +78 = 1229`

`122color{red}{9}=>122 + color{red}{9} xx 13 = 122 +117 = 239`

`23color{red}{9}=>23 + color{red}{9} xx 13 = 23 +117 = 140`

`14color{red}{0}=>14 + color{red}{0} xx 13 = 14 = 14`

Here 14 is not divisible by 43.
`:.` 11516 is not divisible by 43.


5. Check whether 13270 is divisible by 43 or not?

Solution:
Divisibility rule of 43 :
13 times the last digit and add it to the rest of the number.
If the answer is divisible by 43, then number is also divisible by 43.
(Apply this rule to the answer again if necessary)

`1327color{red}{0}=>1327 + color{red}{0} xx 13 = 1327 = 1327`

`132color{red}{7}=>132 + color{red}{7} xx 13 = 132 +91 = 223`

`22color{red}{3}=>22 + color{red}{3} xx 13 = 22 +39 = 61`

Here 61 is not divisible by 43.
`:.` 13270 is not divisible by 43.


6. Check whether 15588 is divisible by 43 or not?

Solution:
Divisibility rule of 43 :
13 times the last digit and add it to the rest of the number.
If the answer is divisible by 43, then number is also divisible by 43.
(Apply this rule to the answer again if necessary)

`1558color{red}{8}=>1558 + color{red}{8} xx 13 = 1558 +104 = 1662`

`166color{red}{2}=>166 + color{red}{2} xx 13 = 166 +26 = 192`

`19color{red}{2}=>19 + color{red}{2} xx 13 = 19 +26 = 45`

Here 45 is not divisible by 43.
`:.` 15588 is not divisible by 43.




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