What is 3000 Divided by 60? Answer is 50
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The answer to 3000 divided by 60 is 50. This means if you split 3000 into 60 equal parts, each part will be 50. Division helps us break numbers into equal groups, and in this case, 3000 divides perfectly by 60 with no remainder.
Let’s explore a few methods to understand this calculation clearly.
3000 Divided by 60 Using Long Division
Here’s how to solve 3000 ÷ 60 using the long division method:
- Write 3000 under the division bar and 60 outside it.
- Determine how many times 60 fits into the first digits of 3000.
- 60 cannot divide 3 or 30 evenly in a whole number, so consider 300.
- Check how many times 60 goes into 300:
- 60 × 5 = 300
- This fits perfectly.
- Write 5 above the division bar.
- Subtract 300 from 300 → remainder 0.
- Bring down the last digit (0) → now the number is 0.
- Since nothing remains to divide, the final quotient is 50.
- Combine the quotient digits: 50
✅ Final Answer: 3000 ÷ 60 = 50
There is no remainder because 60 divides 3000 evenly.
Using the Distributive Property
We can also solve this using the distributive property.
Formula:
(a+b)÷c=(a÷c)+(b÷c)
Break 3000 into numbers that divide easily by 60:
3000 ÷ 60 = (1800 ÷ 60) + (1200 ÷ 60)
Now divide each part:
1800 ÷ 60 = 30
1200 ÷ 60 = 20
Add them together:
30 + 20 = 50
So, 3000 ÷ 60 = 50, confirming the same result as long division.
Other Divisions of 3000
Here are some additional useful divisions:
| 3000 Divided By | Answer |
|---|---|
| 3000 ÷ 2 | 1500 |
| 3000 ÷ 3 | 1000 |
| 3000 ÷ 4 | 750 |
| 3000 ÷ 5 | 600 |
| 3000 ÷ 6 | 500 |
| 3000 ÷ 60 | 50 |
FAQs
1. What is the remainder when 3000 is divided by 60?
There is no remainder because 3000 divides evenly by 60.
2. Is 3000 divisible by 60?
Yes. A number is divisible by 60 if it is divisible by 3, 4, and 5 (the prime factors of 60).
- 3000 ends in 0 → divisible by 5
- Last two digits are 00 → divisible by 4
- Sum of digits: 3+0+0+0 = 3 → divisible by 3
Since all conditions are met, 3000 is divisible by 60.
3. How can you check this division?
Multiply the quotient by the divisor:
50 × 60 = 3000
This confirms the division is correct.
Here are other divisions:
