Determine the number that 88 is divisible by from the choices provided. Responses 6 6 - no response given 2 2 - no response given 5 5 - no response given 3

1 answer

To determine which numbers 88 is divisible by, we can check each option:

  1. Divisibility by 6: A number is divisible by 6 if it is divisible by both 2 and 3.

    • Divisibility by 2: 88 is even, so it is divisible by 2.
    • Divisibility by 3: The sum of the digits of 88 is \(8 + 8 = 16\), which is not divisible by 3.
    • Therefore, 88 is not divisible by 6.
  2. Divisibility by 2: Since 88 is an even number, it is divisible by 2.

    • Therefore, 88 is divisible by 2.
  3. Divisibility by 5: A number is divisible by 5 if it ends in 0 or 5. Since 88 ends in 8, it is not divisible by 5.

    • Therefore, 88 is not divisible by 5.
  4. Divisibility by 3: As previously noted, the sum of the digits of 88 is 16, which is not divisible by 3.

    • Therefore, 88 is not divisible by 3.

From the analysis above, the only number that 88 is divisible by from the choices provided is 2.