Determine the number that 88 is divisible by from the choices provided.(1 point)

Responses

3
3

2
2

5
5

6
6

1 answer

To determine which of the provided numbers (3, 2, 5, 6) 88 is divisible by, we can check each option:

  1. Divisibility by 3: A number is divisible by 3 if the sum of its digits is divisible by 3.

    • Sum of digits of 88: \(8 + 8 = 16\)
    • 16 is not divisible by 3.
    • So, 88 is not divisible by 3.
  2. Divisibility by 2: A number is divisible by 2 if it is even.

    • 88 is even.
    • So, 88 is divisible by 2.
  3. Divisibility by 5: A number is divisible by 5 if it ends in 0 or 5.

    • 88 ends in 8.
    • So, 88 is not divisible by 5.
  4. Divisibility by 6: A number is divisible by 6 if it is divisible by both 2 and 3.

    • We already established that 88 is divisible by 2, but not by 3.
    • So, 88 is not divisible by 6.

From the options given, the only number that 88 is divisible by is 2.