Divisibility Dilemma: Does 4 Always Lead to 10?

If a number is divisible by 4, will it necessarily be divisible by 10?

To determine if a number divisible by 4 must also be divisible by 10, we will apply the divisibility rules for both numbers.

The rule for divisibility by 4 is that the last two digits of the number form a number that is divisible by 4. For example, the number 8, or 112, or 236 is divisible by 4.

The rule for divisibility by 10 is that the number ends in 0. For example, the numbers 10, 30, 250, or 400 are divisible by 10.

Let's consider an example to illustrate the point. The number 8 is divisible by 4 because when divided by 4, it yields 2, which is an integer. However, 8 is not divisible by 10, as dividing 8 by 10 does not produce an integer. Therefore, a number that is divisible by 4 does not have to end in 0, which is required for divisibility by 10.

By analyzing these examples, we conclude that a number divisible by 4 is not necessarily divisible by 10. Specifically, divisibility by 4 depends on the last two digits, whereas divisibility by 10 depends on the last digit.

Therefore, the solution to the problem is that a number divisible by 4 will not necessarily be divisible by 10, making the answer No.