Question

Determine the value of d such that 15 = 3 (mod d).
​

Answer 1

Answer:

6

Step-by-step explanation:

15/6 leaves a remainder 3

Answer 2

The value of d is 4 , 6 , 12

Given :

$\sf 15 \equiv \: 3 \: (mod \: d)$

To find :

The value of d

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

$\sf 15 \equiv \: 3 \: (mod \: d)$

Step 2 of 2 :

Find the value of d

$\sf 15 \equiv \: 3 \: (mod \: d)$

Then

d divides 15 - 3

⇒ d divides 12

⇒ d = 1 , 2 , 3 , 4 , 6 , 12

Since d must be greater than 3

∴ d = 4 , 6 , 12

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