What is 330 Divided by 6? Answer is 55
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The answer to 330 divided by 6 is 55. This means that when 330 is split into 6 equal parts, each part will have a value of 55. Division helps us determine how many times one number fits into another or how we can evenly distribute a total amount.
Let’s explore the different ways to solve it.
330/ 6 Using Long Division
We can solve 330 ÷ 6 step by step using the long division method.
- Step 1: Check how many times 6 goes into 3. It doesn’t, since 6 is larger than 3.
- Step 2: Take the first two digits together (33). Now, see how many times 6 goes into 33.
[6 × 5 = 30]
Subtract 30 from 33:
[33 – 30 = 3] - Step 3: Bring down the last digit (0) to make 30.
- Step 4: Now divide 30 by 6.
[6 × 5 = 30]
Subtract 30 − 30 = 0.
So, the quotient is 55, and there is no remainder.
Therefore, 330 ÷ 6 = 55.
Using the Distributive Property
The distributive property makes division simpler by breaking a number into smaller, easier parts.
Formula: [(a + b) ÷ c = (a ÷ c) + (b ÷ c)]
Let’s break 330 into two easy numbers:
[330 ÷ 6 = (300 ÷ 6) + (30 ÷ 6)]
Now divide each:
[300 ÷ 6 = 50, 30 ÷ 6 = 5]
Add both results:
[50 + 5 = 55]
So, the quotient is again 55. This confirms the accuracy of the answer.
Other Divisions
Here are examples of 330 divided by other numbers:
| 330 Divided By | Answer |
|---|---|
| 330 ÷ 2 | 165 |
| 330 ÷ 3 | 110 |
| 330 ÷ 5 | 66 |
| 330 ÷ 6 | 55 |
| 330 ÷ 10 | 33 |
| 330 ÷ 11 | 30 |
| 330 ÷ 15 | 22 |
| 330 ÷ 30 | 11 |
FAQs
What is the remainder when 330 is divided by 6?
There is no remainder because 6 divides 330 evenly. The remainder is 0.
Is 330 divisible by 6?
Yes. Since 330 is even and the sum of its digits (3 + 3 + 0 = 6) is divisible by 3, it is also divisible by 6.
How can we verify the answer?
Multiply the quotient by the divisor: 55 × 6 = 330.
This confirms that the division is correct.
