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What is the remainder when 12345 is divided by 7?

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Question: What is the remainder when 12345 is divided by 7?

Options:

  1. 1
  2. 2
  3. 3
  4. 4

Correct Answer: 2

Solution: 

12345 mod 7 = 4, so the remainder is 4.

What is the remainder when 12345 is divided by 7?

Practice Questions

Q1
What is the remainder when 12345 is divided by 7?
  1. 1
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Questions & Step-by-Step Solutions

What is the remainder when 12345 is divided by 7?
Correct Answer: 4
  • Step 1: Understand that we want to find the remainder when 12345 is divided by 7.
  • Step 2: Perform the division of 12345 by 7.
  • Step 3: Calculate how many times 7 fits into 12345 without exceeding it.
  • Step 4: Multiply the whole number result from Step 3 by 7 to find the largest multiple of 7 that is less than or equal to 12345.
  • Step 5: Subtract the result from Step 4 from 12345 to find the remainder.
  • Step 6: The result from Step 5 is the remainder when 12345 is divided by 7.
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