# 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
17
8
4
2
1

```

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.

```  7
14
224
---
245

```

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

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• AUTHOR

Manna in the wild

6 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?

• insert name here

6 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.

• Kirui

7 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.

working