120's remainder

The remainder when 120 is divided by single-digit integer m \color{#20A900}m is positive, as is the remainder when 120 is divided by single-digit integer n \color{#EC7300}n .

If m > n \color{#D61F06}m > n , what is the remainder when 120 is divided by m n = ? \color{#D61F06}m - n =?


The answer is 0.

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1 solution

Hana Wehbi
Jul 14, 2017

Recall the single digit integers 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 1,2,3,4,5,6,7,8,9 .

Notice that 120 120 is divisible by most of them except for 9 9 and 7 7 .

Thus, let m = 9 m=9 and n = 7 m n = 2 2 120 R = 0 n=7\implies m-n=2\implies 2 | 120 \implies R=0 . Where R R is the reminder.

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