A 4-digit number is formed by repeating a 2-digit number such as 2525, 3232, etc. Any number of this form is always exactly divisible by
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7575 can be written as 7×10^3 + 5×10^2 + 7×10 + 5
Taking common
70 ( 100 + 1 ) + 5 (100+1)
101(70+5)
So 101 is always a factor of this type of number
Taking common
70 ( 100 + 1 ) + 5 (100+1)
101(70+5)
So 101 is always a factor of this type of number
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