A four digit number formed by repeating a 2 digit number is always exactly divisible by ________
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Step-by-step explanation:
Given that :-
A four digit number formed by repeating a 2 digit number .
Let the number be xxxx
=>1000x+100x+10x+x
=>1111x
=>11×101x
it is exactly divisible by 11 and 101
1111=11×101
2222=2×11×101
3333=3×11×101.....
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