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The number 23473 is to be divided by 7. What is the remainder?

  • A.1
  • B.2
  • C.3
  • D.4

Answer: B

Correct answer: 2

The doubling rule for 7 tests divisibility but does not hand you the remainder, so divide directly.

\[23473 = 7\times 3353 + 2\]

Since \(7\times 3353 = 23471\), the remainder is \(23473 - 23471 = 2\).

As a check, \(23471\) is exactly divisible by 7, and 23473 sits two above it.

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