What should be subtracted from the product of 31 and 91 to make it divisible by 2?

Options

A. 1
B. 3
C. 5
D. 8

Answer

To solve the problem of what should be subtracted from the product of 31 and 91 to make it divisible by 2, we can follow these steps:

### Step 1: Calculate the product of 31 and 91
First, we need to find the product of the two numbers:

\[ 31 \times 91 \]

Calculating this gives:

\[ 31 \times 91 = 2821 \]

### Step 2: Determine if the product is divisible by 2
Next, we need to check if 2821 is divisible by 2. A number is divisible by 2 if it is even. Since 2821 ends with a 1, it is an odd number and not divisible by 2.

### Step 3: Find the remainder when dividing by 2
Now, we divide 2821 by 2 to find the remainder:

\[ 2821 \div 2 = 1410 \quad \text{(quotient)} \quad \text{with a remainder of } 1 \]

### Step 4: Determine what to subtract
To make the number divisible by 2, we need to subtract the remainder from the product:

\[ 2821 - 1 = 2820 \]

Now, 2820 is an even number and is divisible by 2.

### Conclusion
Thus, the number that should be subtracted from the product of 31 and 91 to make it divisible by 2 is:

\[ \boxed{1} \]

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