Easy Multiplication Shortcut 25

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Easy Multiplication Shortcut 25

Multiplying a repeating 1's number by 25
Choose a repeating 1's number (111, so on.)
Multiply it by 25
The product is:

  •  first digit is 2
  •  next digits are 7's - one fewer than repeating 1's in the original number
  •  last digit is 5.

If the first number is 11111111:
Multiply by 25. The product is:
first digit is 2: 2
next digits are 7's, one fewer than 1's: 7777777
last digit is 5: 5
Then 11111111 × 25 = 277777775

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