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Without dividing, determine if , is divisible by and explain how you know. divisible by
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Q. Without dividing, determine if , is divisible by and explain how you know. divisible by
- Divisibility Rule for : To determine if a number is divisible by , we can use the divisibility rule for , which states that if the sum of the digits of a number is divisible by , then the number itself is also divisible by . Let's apply this rule to .
- Add Digits Together: First, we add the digits of together: .
- Calculate Sum: Performing the addition, we get .
- Check Divisibility: Now, we need to check if the sum of the digits, which is , is divisible by . Since is not divisible by (because and , and is between these two products), we can conclude that is not divisible by .
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