Find the average of factor 60.

Options

A. 12
B. 13
C. 14
D. 16

Answer

To find the average of the factors of 60, we will follow these steps:

### Step 1: Identify the factors of 60
To find the factors of 60, we can list all the numbers that divide 60 without leaving a remainder. The factors of 60 are:
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.

### Step 2: Count the number of factors
Now, we need to count how many factors we have:
- The factors we listed are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.
- Total number of factors = 12.

### Step 3: Calculate the sum of the factors
Next, we will sum all the factors:
1 + 2 + 3 + 4 + 5 + 6 + 10 + 12 + 15 + 20 + 30 + 60.

Calculating the sum step-by-step:
- 1 + 2 = 3
- 3 + 3 = 6
- 6 + 4 = 10
- 10 + 5 = 15
- 15 + 6 = 21
- 21 + 10 = 31
- 31 + 12 = 43
- 43 + 15 = 58
- 58 + 20 = 78
- 78 + 30 = 108
- 108 + 60 = 168

So, the sum of the factors is 168.

### Step 4: Calculate the average
Now, we can find the average by dividing the sum of the factors by the number of factors:
Average = (Sum of factors) / (Number of factors) = 168 / 12.

Calculating this gives:
168 ÷ 12 = 14.

### Final Answer
The average of the factors of 60 is **14**.

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