Missing factors

The question

11 × ? = 55

11×?=55
11×?=55
11, 22, 33, 44, 55=5 × 11
11×5=55
  1. The gap is not at the end this time — the ANSWER is already there. What is missing is one of the two numbers going in, so the sum cannot just be worked left to right.
  2. How many 11s make 55? Count them: 11, 22, 33, 44, 55 — that is 5 of them.
  3. Put it back in to be sure: 11 × 5 = 55. It holds, so the missing number is 5.

How it works.

  1. 01

    The gap is not at the end this time — the ANSWER is already there. What is missing is one of the two numbers going in, so the sum cannot just be worked left to right.

  2. 02

    How many 11s make 55? Count them: 11, 22, 33, 44, 55 — that is 5 of them.

  3. 03

    Put it back in to be sure: 11 × 5 = 55. It holds, so the missing number is 5.