If a number is divisible by 7, which of the following is NOT necessarily true?

Practice Questions

Q1
If a number is divisible by 7, which of the following is NOT necessarily true?
  1. It is odd
  2. It is not a prime number
  3. It can be a multiple of 14
  4. It can be a two-digit number

Questions & Step-by-Step Solutions

If a number is divisible by 7, which of the following is NOT necessarily true?
  • Step 1: Understand what it means for a number to be divisible by 7. This means that when you divide the number by 7, there is no remainder.
  • Step 2: Identify examples of numbers that are divisible by 7. For instance, 7, 14, 21, and 28 are all divisible by 7.
  • Step 3: Check if a number divisible by 7 can be even. An even number is any number that can be divided by 2 without a remainder.
  • Step 4: Look at the example of 14. It is divisible by 7 (14 ÷ 7 = 2) and it is also even (14 ÷ 2 = 7).
  • Step 5: Conclude that just because a number is divisible by 7, it does not mean it cannot be even. Therefore, it is NOT necessarily true that a number divisible by 7 must be odd.
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