For a number to be divisible by 88 it should be:

2024

For a number to be divisible by 88 it should be:

  1. A.

    Divisible by 8 and 10.

  2. B.

    Divisible by 8 and 12.

  3. C.

    Divisible by 8 and 11.

  4. D.

    Divisible by 8 and 9.

Attempted by 4 students.

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Correct answer: C

Step-by-Step Solution

To determine the divisibility rule for a composite number like 88, we need to factor it into coprime numbers (numbers that have no common factor other than 1).

  1. Factor 88:

    • 88 can be factored as 8 * 11.

    • 8 and 11 are coprime because their greatest common divisor is 1.

  2. Apply the divisibility rule:

    • If a number is divisible by two coprime numbers, it is also divisible by their product.

    • Therefore, for a number to be divisible by 88, it must be divisible by both 8 and 11.

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