The remainder when 120 is divided by single-digit integer is positive, as is the remainder when 120 is divided by single-digit integer .
If , what is the remainder when 120 is divided by
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Recall the single digit integers 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 .
Notice that 1 2 0 is divisible by most of them except for 9 and 7 .
Thus, let m = 9 and n = 7 ⟹ m − n = 2 ⟹ 2 ∣ 1 2 0 ⟹ R = 0 . Where R is the reminder.