What is the least number which is when added to 52,792, the new number becomes perfectly divisible by 15?

Options

A. 6
B. 7
C. 8
D. 15

Answer

To find the least number which, when added to 52,792, makes the new number perfectly divisible by 15, we can follow these steps:

### Step 1: Determine the remainder when 52,792 is divided by 15.
To do this, we perform the division:

\[ 52792 \div 15 \]

Calculating this gives:

\[ 52792 = 15 \times 3519 + R \]

Where \( R \) is the remainder. To find \( R \), we can calculate:

\[ 15 \times 3519 = 52785 \]

Now we subtract this from 52,792:

\[ 52792 - 52785 = 7 \]

So, the remainder \( R = 7 \).

### Step 2: Calculate how much more is needed to reach the next multiple of 15.
Since we want the number to be perfectly divisible by 15, we need to add enough to eliminate the remainder. We can find this by subtracting the remainder from 15:

\[ 15 - R = 15 - 7 = 8 \]

### Step 3: Conclusion
The least number which needs to be added to 52,792 to make it perfectly divisible by 15 is:

\[ \boxed{8} \]

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