Atleast what number must be subtracted from 434079 so that is becomes divisible by (or multiple of 137) ?

Options

A. 173
B. 63
C. 97
D. can't be determined

Answer

To determine the least number that must be subtracted from 434079 to make it divisible by 137, we can follow these steps:

### Step 1: Divide 434079 by 137
We start by dividing 434079 by 137 to find the quotient and the remainder.

\[ 434079 \div 137 \]

### Step 2: Perform Long Division
1. 137 goes into 434079. We can estimate how many times it fits:
- 137 × 3 = 411
- Subtract 411 from 434:
- 434 - 411 = 23 (bring down the next digit, which is 0)
- Now we have 230.
- 137 goes into 230 once (137 × 1 = 137).
- Subtract 137 from 230:
- 230 - 137 = 93 (bring down the next digit, which is 7)
- Now we have 937.
- 137 goes into 937 six times (137 × 6 = 822).
- Subtract 822 from 937:
- 937 - 822 = 115 (bring down the next digit, which is 9)
- Now we have 1159.
- 137 goes into 1159 eight times (137 × 8 = 1096).
- Subtract 1096 from 1159:
- 1159 - 1096 = 63.

### Step 3: Find the Remainder
The remainder from the division is 63. This means:
\[ 434079 = 137 \times \text{(quotient)} + 63 \]

### Step 4: Determine the Number to Subtract
To make 434079 divisible by 137, we need to subtract the remainder (63) from it:
\[ 434079 - 63 = 434016 \]

### Step 5: Conclusion
Thus, the least number that must be subtracted from 434079 to make it divisible by 137 is:
\[ \boxed{63} \]

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