Which of the following numbers is divisible by 10, 4 and 2?
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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
Is the number 43 divisible by 4?
Great observation! Since divisibility by 10 requires ending in 0, and 0 is even, any number divisible by 10 is automatically divisible by 2. This means you really only need to check divisibility by 10 and 4!
Look at the last two digits only! If those two digits form a number divisible by 4, then the whole number is divisible by 4. For example: in 240, just check if 40 ÷ 4 = 10 (yes!).
Double-check your work! Make sure you're applying all three rules correctly. Remember: must end in 0 (for 10), last two digits divisible by 4, and ends in even digit (for 2).
Yes! Since 10 = 2 × 5, any number divisible by both 10 and 4 must be divisible by their LCM (Least Common Multiple), which is 20. So look for multiples of 20!
30 is tricky! It ends in 0 (divisible by 10 and 2), but the last two digits are 30. Since , it's not divisible by 4. Remember: all conditions must be met!
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