How to Multiply by 12 in Your Head

Multiply by 10, then add double the original.

34 × 12 = 408

How do you multiply by 12 in your head?

To multiply by 12, multiply by 10 and add double the original number. For 34 × 12, take 34 × 10 = 340, add 34 × 2 = 68, and get 340 + 68 = 408. It works because twelve of something is ten of them plus two more, so splitting 12 into 10 + 2 turns one hard step into two easy ones. A two-digit number with a large units digit works the same way: 47 × 12 = 470 + 94 = 564. So does a bigger number: 125 × 12 = 1250 + 250 = 1500. When the number is a multiple of 25, another split is faster, because 12 is also 4 × 3: 75 × 12 = 75 × 4 × 3 = 300 × 3 = 900. Check the last digit before trusting an answer: 47 × 12 must end in 4, because 7 × 2 = 14.

  1. 12 = 10 + 234 × 12 = 340 + 34 × 2

    Twelve 34s is ten of them plus two of them.

  2. 080×2

    The two of them is a double: 34 × 2 = 68.

  3. 340+68408

    Add the parts: 340 + 68 = 408.

Your turn

Three to try in your head — tap what you get.

29 × 12

96 × 12

73 × 12

Keep practicing free in Math Challenge

All 36 shortcuts: the Magic Tricks library.