Exploring Divisibility: Is Every Even Number a Multiple of 10?

To determine whether a number divisible by 2 is also divisible by 10, we need to analyze each condition separately:

• Divisibility by 2:
• A number is divisible by 2 if its last digit is an even number, namely 0, 2, 4, 6, or 8. For example, 12 and 34 are both divisible by 2 because their last digits are 2 and 4, respectively.
• Divisibility by 10:
• A number is divisible by 10 if its last digit is 0. For example, 20 and 150 are divisible by 10 because their last digits are 0.

Now, let us examine whether every number that meets the criteria for being divisible by 2 also meets the criteria for being divisible by 10:

• According to the rules, a number divisible by 2 ends with an even digit (0, 2, 4, 6, or 8). However, only those that end in 0 satisfy the condition for divisibility by 10.
• This means not every number divisible by 2 will end with a 0. For instance, the number 14 is divisible by 2, but ends with a 4, not 0. Therefore, it is not divisible by 10.

Thus, we conclude that a number divisible by 2 does not necessarily have its last digit as 0, so it is not always divisible by 10.

Therefore, the correct answer to the problem is No.