What is 108 Divided by 12? Answer is 9
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The answer to 108 divided by 12 is 9. This means that if you divide 108 into 12 equal parts, each part will be 9. Division is a simple mathematical process that helps us determine how many equal portions can be made from a total quantity.
Let’s explore different methods to solve this.
Using Long Division
The easiest and most common way to solve 108 ÷ 12 is by using long division.
- First, see how many times 12 goes into 10. It doesn’t, because 12 is greater than 10.
- Next, take the first two digits together (10) and then the full number 108.
- Now, check how many times 12 goes into 108.
- 12 × 9 = 108, which fits perfectly.
- Subtract 108 − 108 = 0.
Since there’s no remainder left, the answer is 9.
So, 108 ÷ 12 = 9.
Using the Distributive Property
The distributive property makes division easier by splitting large numbers into smaller, manageable parts.
Formula: [(a + b) ÷ c = (a ÷ c) + (b ÷ c)]
Now, split 108 into two parts that are easy to divide:
[108 ÷ 12 = (60 ÷ 12) + (48 ÷ 12)]Next, divide each term:
[60 ÷ 12 = 5, 48 ÷ 12 = 4]Add both results:
[5 + 4 = 9]Again, we get 9, confirming the result through the distributive property.
Other Divisions
Here are some other examples of 108 divided by different numbers:
| 108 Divided By | Answer |
|---|---|
| 108 ÷ 2 | 54 |
| 108 ÷ 3 | 36 |
| 108 ÷ 4 | 27 |
| 108 ÷ 6 | 18 |
| 108 ÷ 9 | 12 |
| 108 ÷ 12 | 9 |
| 108 ÷ 18 | 6 |
| 108 ÷ 27 | 4 |
FAQs
Q1: What is the remainder when 108 is divided by 12?
There is no remainder because 12 divides 108 evenly. The remainder is 0.
Q2: Is 108 divisible by 12?
Yes. Since 12 × 9 = 108, it divides perfectly with no remainder.
Q3: How can we check the result of 108 ÷ 12?
To confirm, multiply the quotient by the divisor: 9 × 12 = 108. This proves the answer is correct.
