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Home > Pre-Algebra calculators > Divisibility rule example
Divisibility rule of 73 example ( Enter your problem )
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72. Divisibility rule of 72 example
(Previous example)		74. Divisibility rule of 74 example
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73. Divisibility rule of 73 example


1. Check whether 20805 is divisible by 73 or not?

Solution:
Divisibility rule of 73 :
22 times the last digit and add it to the rest of the number.
If the answer is divisible by 73, then number is also divisible by 73.
(Apply this rule to the answer again if necessary)

`2080color{red}{5}=>2080 + color{red}{5} xx 22 = 2080 +110 = 2190`

`219color{red}{0}=>219 + color{red}{0} xx 22 = 219 = 219`

`21color{red}{9}=>21 + color{red}{9} xx 22 = 21 +198 = 219`

Here 219 is divisible by 73.
`:.` 20805 is divisible by 73.


2. Check whether 23652 is divisible by 73 or not?

Solution:
Divisibility rule of 73 :
22 times the last digit and add it to the rest of the number.
If the answer is divisible by 73, then number is also divisible by 73.
(Apply this rule to the answer again if necessary)

`2365color{red}{2}=>2365 + color{red}{2} xx 22 = 2365 +44 = 2409`

`240color{red}{9}=>240 + color{red}{9} xx 22 = 240 +198 = 438`

`43color{red}{8}=>43 + color{red}{8} xx 22 = 43 +176 = 219`

`21color{red}{9}=>21 + color{red}{9} xx 22 = 21 +198 = 219`

Here 219 is divisible by 73.
`:.` 23652 is divisible by 73.


3. Check whether 29054 is divisible by 73 or not?

Solution:
Divisibility rule of 73 :
22 times the last digit and add it to the rest of the number.
If the answer is divisible by 73, then number is also divisible by 73.
(Apply this rule to the answer again if necessary)

`2905color{red}{4}=>2905 + color{red}{4} xx 22 = 2905 +88 = 2993`

`299color{red}{3}=>299 + color{red}{3} xx 22 = 299 +66 = 365`

`36color{red}{5}=>36 + color{red}{5} xx 22 = 36 +110 = 146`

`14color{red}{6}=>14 + color{red}{6} xx 22 = 14 +132 = 146`

Here 146 is divisible by 73.
`:.` 29054 is divisible by 73.


4. Check whether 20858 is divisible by 73 or not?

Solution:
Divisibility rule of 73 :
22 times the last digit and add it to the rest of the number.
If the answer is divisible by 73, then number is also divisible by 73.
(Apply this rule to the answer again if necessary)

`2085color{red}{8}=>2085 + color{red}{8} xx 22 = 2085 +176 = 2261`

`226color{red}{1}=>226 + color{red}{1} xx 22 = 226 +22 = 248`

`24color{red}{8}=>24 + color{red}{8} xx 22 = 24 +176 = 200`

`20color{red}{0}=>20 + color{red}{0} xx 22 = 20 = 20`

Here 20 is not divisible by 73.
`:.` 20858 is not divisible by 73.


5. Check whether 24447 is divisible by 73 or not?

Solution:
Divisibility rule of 73 :
22 times the last digit and add it to the rest of the number.
If the answer is divisible by 73, then number is also divisible by 73.
(Apply this rule to the answer again if necessary)

`2444color{red}{7}=>2444 + color{red}{7} xx 22 = 2444 +154 = 2598`

`259color{red}{8}=>259 + color{red}{8} xx 22 = 259 +176 = 435`

`43color{red}{5}=>43 + color{red}{5} xx 22 = 43 +110 = 153`

`15color{red}{3}=>15 + color{red}{3} xx 22 = 15 +66 = 81`

Here 81 is not divisible by 73.
`:.` 24447 is not divisible by 73.


6. Check whether 25756 is divisible by 73 or not?

Solution:
Divisibility rule of 73 :
22 times the last digit and add it to the rest of the number.
If the answer is divisible by 73, then number is also divisible by 73.
(Apply this rule to the answer again if necessary)

`2575color{red}{6}=>2575 + color{red}{6} xx 22 = 2575 +132 = 2707`

`270color{red}{7}=>270 + color{red}{7} xx 22 = 270 +154 = 424`

`42color{red}{4}=>42 + color{red}{4} xx 22 = 42 +88 = 130`

`13color{red}{0}=>13 + color{red}{0} xx 22 = 13 = 13`

Here 13 is not divisible by 73.
`:.` 25756 is not divisible by 73.




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