Identify from the choices below the number that is divisible by both 3 and 9. Responses 52 52 - no response given 48 48 - no response given 27 27 - no response given 39

1 answer

To determine which numbers are divisible by both 3 and 9, you can check each number from the given list. A number must be divisible by 9 if it is also divisible by 3, as any number divisible by 9 is inherently divisible by 3.

  1. 52:

    • Divisibility by 3: \(5 + 2 = 7\) (not divisible by 3)
    • Not divisible by either.
  2. 48:

    • Divisibility by 3: \(4 + 8 = 12\) (divisible by 3)
    • Divisibility by 9: \(48 \div 9 = 5.33\) (not divisible by 9)
    • Not divisible by 9.
  3. 27:

    • Divisibility by 3: \(2 + 7 = 9\) (divisible by 3)
    • Divisibility by 9: \(27 \div 9 = 3\) (divisible by 9)
    • Divisible by both 3 and 9.
  4. 39:

    • Divisibility by 3: \(3 + 9 = 12\) (divisible by 3)
    • Divisibility by 9: \(39 \div 9 = 4.33\) (not divisible by 9)
    • Not divisible by 9.

Conclusion: The only number in the list that is divisible by both 3 and 9 is 27.