A number is divisible by both 2 and 5. Which of the following must be true?

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Question: A number is divisible by both 2 and 5. Which of the following must be true?

Options:

Correct Answer: It is a multiple of 10.

Solution:

If a number is divisible by both 2 and 5, it must be a multiple of 10.

A number is divisible by both 2 and 5. Which of the following must be true?

A number is divisible by both 2 and 5. Which of the following must be true?

Step 1: Understand what it means for a number to be divisible by 2. A number is divisible by 2 if it is even, meaning it ends in 0, 2, 4, 6, or 8.
Step 2: Understand what it means for a number to be divisible by 5. A number is divisible by 5 if it ends in 0 or 5.
Step 3: Since the number must be divisible by both 2 and 5, it must end in a digit that satisfies both conditions.
Step 4: The only digit that is both even (for divisibility by 2) and ends in 0 or 5 (for divisibility by 5) is 0.
Step 5: Therefore, any number that is divisible by both 2 and 5 must end in 0.
Step 6: Numbers that end in 0 are multiples of 10 (like 10, 20, 30, etc.).
Step 7: Conclude that if a number is divisible by both 2 and 5, it must be a multiple of 10.

Divisibility Rules – Understanding that a number divisible by both 2 and 5 is also divisible by their product, which is 10.