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.
