Explanation:

Let's break it down:

- First, check if 246837 is divisible by 13. Divide: 246837 ÷ 13 = 18,987.4615... (not a whole number, so it's not divisible).

- Now, figure out the remainder: 246837 mod 13 = 246837 - (13 × 18,987) = 246837 - 246831 = 6.

- That remainder, 6, is what you need to subtract to make the number divisible by 13.

- So, subtracting 6 gives: 246837 - 6 = 246831, which is divisible by 13 (246831 ÷ 13 = 18,987 exactly, no remainder).

Here’s the answer lineup:

- Option 1, 5: Subtracting 5 leaves a remainder of 1 when divided by 13—not fully divisible.

- Option 2, 6: This is the magic number.

- Option 3, 3: Subtracting 3 leaves a remainder of 3—still not divisible by 13.

- Option 4, 4: Subtracting 4 leaves a remainder of 2—no luck here.

So, option 2 is 100% correct—subtract 6 to make 246837 divisible by 13.