What is 168 Divided by 6? Answer is 28
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The answer to 168 divided by 6 is 28. This means if you divide 168 into 6 equal parts, each part will be 28. Division helps us split numbers into equal groups, and in this case, 168 divides perfectly by 6 with no remainder.
Let’s go through different methods to understand this calculation clearly.
168 Divided by 6 Using Long Division
Here’s how to solve 168 ÷ 6 using the long division method:
- Write 168 under the division bar and 6 outside it.
- Check how many times 6 goes into the first digit (1).
- It cannot, so move to the first two digits.
- Check how many times 6 goes into 16.
- 6 × 2 = 12
- 6 × 3 = 18 (too high)
- So the correct value is 2.
- Subtract 12 from 16 → remainder 4
- Bring down the next digit (8) → now the number is 48.
- 6 × 8 = 48
- Subtract 48 from 48 → 0
- Combine the quotient digits: 28
✅ Final Answer: 168 ÷ 6 = 28
There is no remainder, as 6 divides 168 evenly.
Using the Distributive Property
We can also solve the division using the distributive property.
Formula:
(a+b)÷c=(a÷c)+(b÷c)
Split 168 into easy-to-divide parts:
168÷6=(120÷6)+(48÷6)
Now divide each part:
120 ÷ 6 = 20
48 ÷ 6 = 8
Add them together:
20+8=28
So, 168 ÷ 6 = 28, confirming the same result as the long division method.
Other Divisions of 168
Here are some additional useful divisions:
| 168 Divided By | Answer |
|---|---|
| 168 ÷ 2 | 84 |
| 168 ÷ 3 | 56 |
| 168 ÷ 4 | 42 |
| 168 ÷ 6 | 28 |
| 168 ÷ 8 | 21 |
FAQs
1. What is the remainder when 168 is divided by 6?
There is no remainder because 168 divides evenly by 6.
2. Is 168 divisible by 6?
Yes. A number is divisible by 6 if it is divisible by both 2 and 3.
168 is even (divisible by 2) and its digits sum to 1+6+8 = 15 (divisible by 3).
3. How can you check this division?
Multiply the quotient by the divisor:
28×6=168
This confirms the answer is correct.
Here are other divisions: