Find the smallest 5-digit number which is exactly divisible by 384. Options 10368 10224 10512 10424
Question
Find the smallest 5-digit number which is exactly divisible by 384.
Options:
- 10368
- 10224
- 10512
- 10424
Solution
To find the smallest 5-digit number which is exactly divisible by 384, we need to follow these steps:
- Find the smallest 5-digit number, which is 10000.
- Divide this number by 384 to find the quotient and remainder.
- If the remainder is 0, then 10000 is the smallest 5-digit number divisible by 384. If not, add the difference between 384 and the remainder to 10000. This will give us the smallest 5-digit number divisible by 384.
Let's do the calculations:
- The smallest 5-digit number is 10000.
- 10000 divided by 384 gives a quotient of 26 and a remainder of 16.
- The difference between 384 and 16 is 368. Adding this to 10000 gives 10368.
So, the smallest 5-digit number which is exactly divisible by 384 is 10368. Therefore, the correct option is 10368.
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