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