If a is an integer and n is a positive integer, we define a mod n to be the remainder when a is divided by n. The integer n is called the __________

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Answer:

Divisor

Step-by-step explanation:

Given

[tex]a\ mod\ n[/tex]

Required

What does n represents

In arithmetic, the number that divides another is referred to as divisor;

Take for instance;

[tex]5\ mod\ 3 = 2[/tex]

This implies that when 5 is divided by 3, the remainder is 2

The bold text (divided by 3) means that 3 is the divisor of 5;

When compared to [tex]a\ mod\ n[/tex]

We have that

n = 3

Reason being that, n and 3 are in the same position base on order of appearance;

Hence, n represents the divisor