Identify the Number: Divisibility Challenge with 10, 4, and 2

Question

Which of the following numbers is divisible by 10, 4 and 2?

Video Solution

Step-by-Step Solution

To solve this problem, we'll analyze each choice using divisibility rules for 10, 4, and 2:

  • Divisibility by 10: The number must end in 0.

  • Divisibility by 4: The last two digits of the number must form a number divisible by 4.

  • Divisibility by 2: The number must end in an even digit, specifically 0, 2, 4, 6, or 8.

Now, let's evaluate each choice:

  • 45:
    Ending digit is 5. Not divisible by 10 or 2, so it cannot be divisible by all three.

  • 30:
    Ending digit is 0 (divisible by 10 and 2).
    Last two digits form 30, which is not divisible by 4 (30/4 = 7.5). So, it cannot be divisible by all three.

  • 35:
    Ending digit is 5. Not divisible by 10 or 2, so it cannot be divisible by all three.

  • 40:
    Ending digit is 0 (divisible by 10 and 2).
    Last two digits form 40, which is divisible by 4 (40/4 = 10).
    Therefore, 40 is divisible by 10, 4, and 2.

Therefore, the number that is divisible by 10, 4, and 2 is 40 40 .

Answer

40