ArtsAutosBooksBusinessEducationEntertainmentFamilyFashionFoodGamesGenderHealthHolidaysHomeHubPagesPersonal FinancePetsPoliticsReligionSportsTechnologyTravel
  • »
  • Education and Science»
  • Elementary, Middle School & High School

Russian Multiplication - a different way to multiply numbers.

Updated on November 28, 2012

Russian Multiplication

This is a short article which describes a different way to multiply two numbers.

All you need to do is divide by two, double a number, and add a column, and know how to recognize even and odd. Using these simple tools, you can multiply any two numbers.

Here is the method by example.

Step 1 Lay out your numbers as the first in two columns. e.g. 35 and 7

35 7

Step 2

Halve the first column and throw away the remainder. Keep doing this until you get to 1.

35 7

Step 3

Repeatedly double the other column

35    7
17   14
 8   28
 4   56
 2  112
 1  224

Step 4

Identify all rows where there are odd numbers in the left hand column:

35    7
17   14
 8   28
 4   56
 2  112
 1  224

Step 5

For each of the numbers in the right column where there is an odd number in the left column, add them up.


Now check your answer by casting out nines. (Link)

Or find out how to instantly square a number ending in 5.

Learn about Binary and Hexadecimal too.



    0 of 8192 characters used
    Post Comment

    • Manna in the wild profile image

      Manna in the wild 5 years ago from Australia

      What an odd comment from the Neville Lovett Community School. Specialist in Mathematics and Computing. English seems to be a problem I see. What are they teaching you in the UK these days?

    • profile image

      insert name here 5 years ago

      i dnt get da last sentence bruv! work on ya grammar yeah! simples skillz man, i mean it took me llike 10 mins ta work dat 1 out bruv. i had to getz ma nan and she dint even getcho sentence. so seriously work on it innit.

    • profile image

      Kirui 6 years ago

      I like that. I attempted to proof this method. Does it have something to do with expressing number in binary form? I thought those you don't exclude in final addition correspond to zeros in binary form but I didn't work out the details.