Divisibility rule of 37 example

1. Check whether 9472 is divisible by 37 or not?

Solution:

Divisibility rule of 37 :
11 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 37, then number is also divisible by 37.
(Apply this rule to the answer again if necessary)

$947color{red}{2}=>947 - color{red}{2} xx 11 = 947 -22 = 925$

$92color{red}{5}=>92 - color{red}{5} xx 11 = 92 -55 = 37$

Here 37 is divisible by 37.

$:.$ 9472 is divisible by 37.

2. Check whether 12284 is divisible by 37 or not?

Solution:

$1228color{red}{4}=>1228 - color{red}{4} xx 11 = 1228 -44 = 1184$

$118color{red}{4}=>118 - color{red}{4} xx 11 = 118 -44 = 74$

Here 74 is divisible by 37.

$:.$ 12284 is divisible by 37.

3. Check whether 13912 is divisible by 37 or not?

Solution:

$1391color{red}{2}=>1391 - color{red}{2} xx 11 = 1391 -22 = 1369$

$136color{red}{9}=>136 - color{red}{9} xx 11 = 136 -99 = 37$

Here 37 is divisible by 37.

$:.$ 13912 is divisible by 37.

4. Check whether 9644 is divisible by 37 or not?

Solution:

$964color{red}{4}=>964 - color{red}{4} xx 11 = 964 -44 = 920$

$92color{red}{0}=>92 - color{red}{0} xx 11 = 92 = 92$

Here 92 is not divisible by 37.

$:.$ 9644 is not divisible by 37.

5. Check whether 11309 is divisible by 37 or not?

Solution:

$1130color{red}{9}=>1130 - color{red}{9} xx 11 = 1130 -99 = 1031$

$103color{red}{1}=>103 - color{red}{1} xx 11 = 103 -11 = 92$

Here 92 is not divisible by 37.

$:.$ 11309 is not divisible by 37.

6. Check whether 13225 is divisible by 37 or not?

Solution:

$1322color{red}{5}=>1322 - color{red}{5} xx 11 = 1322 -55 = 1267$

$126color{red}{7}=>126 - color{red}{7} xx 11 = 126 -77 = 49$

Here 49 is not divisible by 37.

$:.$ 13225 is not divisible by 37.

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37. Divisibility rule of 37 example