Problem

Determine all values of $d$ that make the statement true. \[ 8 \mid 22,742,15 d \]

Solution

Step 1 :The problem is asking for all values of $d$ that make the number $2274215d$ divisible by 8.

Step 2 :A number is divisible by 8 if and only if its last three digits form a number that is divisible by 8.

Step 3 :So, we need to find all values of $d$ such that the number $15d$ is divisible by 8.

Step 4 :The only possible value for $d$ is 2.

Step 5 :Final Answer: The only value of $d$ that makes the number $2274215d$ divisible by 8 is \(\boxed{2}\).

From Solvely APP
Source: https://solvelyapp.com/problems/5m0JgsczJ2/

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