What is 1500 Divided by 4? Answer is 375
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The answer to 1500 divided by 4 is 375. This means if you divide 1500 into 4 equal parts, each part will be 375. Division is the process of splitting a number into equal groups, and in this example, both numbers divide perfectly with no remainder.
Let’s explore different methods to understand how this calculation works.
1500 ÷ 4 Using Long Division
To solve 1500 ÷ 4 using the long division method:
- Write 1500 under the division bar and 4 outside it.
- Check how many times 4 goes into 15.
- 4 × 3 = 12
- 4 × 4 = 16 (too high), so use 3.
- Subtract 12 from 15 → remainder 3.
- Bring down the next digit (0) → making 30.
- 4 × 7 = 28
- 4 × 8 = 32 (too high), so use 7.
- Subtract 28 from 30 → remainder 2.
- Bring down the next digit (0) → making 20.
- 4 × 5 = 20 exactly.
- Subtract 20 from 20 → remainder 0.
The quotient is 375, so 1500 ÷ 4 = 375.
Using the Distributive Property
You can also solve this using the distributive property, which lets you break large numbers into easier parts.
Formula:
(a+b)÷c=(a÷c)+(b÷c)(a + b) ÷ c = (a ÷ c) + (b ÷ c)(a+b)÷c=(a÷c)+(b÷c)
Break down 1500 into parts that are easy to divide by 4:
1500÷4=(1200÷4)+(300÷4)1500 ÷ 4 = (1200 ÷ 4) + (300 ÷ 4)1500÷4=(1200÷4)+(300÷4)
Now divide each part:
1200÷4=300,300÷4=751200 ÷ 4 = 300, 300 ÷ 4 = 751200÷4=300,300÷4=75
Add the results:
300+75= 375300 + 75 = 375300+75= 375
Thus, 1500 ÷ 4 = 375, confirming our result again.
Other Divisions of 1500
Let’s look at how 1500 divides by other numbers:
| 1500 Divided By | Answer |
|---|---|
| 1500 ÷ 2 | 750 |
| 1500 ÷ 3 | 500 |
| 1500 ÷ 4 | 375 |
| 1500 ÷ 5 | 300 |
| 1500 ÷ 6 | 250 |
| 1500 ÷ 10 | 150 |
FAQs
What is the remainder when 1500 is divided by 4?
There is no remainder. 1500 divides evenly by 4, resulting in 375.
Is 1500 divisible by 4?
Yes. Since 4 × 375 = 1500, the division is exact.
How to verify this division?
Multiply the quotient by the divisor:
375 × 4 = 1500.
This confirms that the answer is correct.
Here are other divisions:
