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Which of the following is a characteristic of numbers divisible by 7?

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Question: Which of the following is a characteristic of numbers divisible by 7?

Options:

  1. They end in 0 or 5
  2. The double of the last digit subtracted from the rest of the number is divisible by 7
  3. They are always even
  4. They are always prime

Correct Answer: The double of the last digit subtracted from the rest of the number is divisible by 7

Solution:

A common rule for checking divisibility by 7 is to double the last digit and subtract it from the rest of the number; if the result is divisible by 7, then the original number is also divisible by 7.

Which of the following is a characteristic of numbers divisible by 7?

Practice Questions

Q1
Which of the following is a characteristic of numbers divisible by 7?
  1. They end in 0 or 5
  2. The double of the last digit subtracted from the rest of the number is divisible by 7
  3. They are always even
  4. They are always prime

Questions & Step-by-Step Solutions

Which of the following is a characteristic of numbers divisible by 7?
  • Step 1: Take the number you want to check for divisibility by 7.
  • Step 2: Look at the last digit of that number.
  • Step 3: Double the last digit you found in Step 2.
  • Step 4: Remove the last digit from the original number, leaving you with the rest of the number.
  • Step 5: Subtract the doubled last digit (from Step 3) from the rest of the number (from Step 4).
  • Step 6: Check if the result from Step 5 is divisible by 7. If it is, then the original number is also divisible by 7.
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