Which number is a factor of 16, but not a multiple of 8

The Correct Answer and Explanation is:

To find a number that is a factor of 16 but not a multiple of 8, let’s break it down step by step.

Step 1: Find the factors of 16
Factors are numbers that divide exactly into another number. For 16, we begin by listing all the numbers that divide it exactly:

16
÷

1

16
16÷1=16
16
÷

2

8
16÷2=8
16
÷

4

4
16÷4=4
16
÷

8

2
16÷8=2
16
÷

16

1
16÷16=1
So, the factors of 16 are: 1, 2, 4, 8, 16.

Step 2: Determine which of these are multiples of 8
A multiple of a number is any number that can be written as that number times an integer. In other words, multiples of 8 are numbers like 8, 16, 24, 32, and so on.

From the factors of 16, we check which ones are also multiples of 8:

8 is a multiple of 8 (because
8
×

1

8
8×1=8).

16 is a multiple of 8 (because
8
×

2

16
8×2=16).

Step 3: Find a factor of 16 that is not a multiple of 8
Now we look for the factors of 16 that are not multiples of 8. From the list, we have:

1 (not a multiple of 8),

2 (not a multiple of 8),

4 (not a multiple of 8).

Conclusion
The number 4 is a factor of 16 but is not a multiple of 8. It divides 16 evenly, but it does not meet the condition of being a multiple of 8.

This solution highlights the distinction between factors and multiples, helping us understand that a number can be a factor of a larger number without necessarily being a multiple of another factor within that set.