ISBN is abbreviation of International Standard Book Number, which usually can be found on the back of a book.

This instructable is designed to help people find out whether a ISBN is valid using easy mathematics.

You will only need a pen/pencil, a piece of paper.

## Step 1:

Find out what kind of ISBN you have.

Two kinds of ISBN is now used for a book, 10 or 13 digits.

Usually, a 13 digits ISBN is converted from a 10 digits one by adding a "978" prefix and alter the last digit, which is often called the check digit.

Step 2-4 for 10 digits ISBN.

Step 5-7 for 13 digits ISBN.

## Step 2:

In case you have a 10 digits ISBN, for example, the ISBN for the book Gravitation .

0-7167-0344-0

You need to assign the position of each number from left to right.

## Step 3:

Multiply each number by its position number and then sum up the products.

## Step 4:

Divide the sum by 11 and find out what is the remainder.

If the remainder is zero, then it is a valid 10 digit ISBN.

If the remainder is not zero, then it is not a valid 10 digit ISBN.

## Step 5:

If you have a 13 digits ISBN.

978-0-7167-0344-0

Also assign the position of each number from right to left

## Step 6:

Multiply each number by an alternating 1 and 3 and then sum up the products.

Odd number positions by 1.

Even number positions by 3.

## Step 7:

Divide the sum by 10 and find out what is the remainder.

If the remainder is zero, then it is a valid 13 digit ISBN.

If the remainder is not zero, then it is not a valid 13 digit ISBN.

## 2 Discussions

4 years ago

Nice Instructable but section 6 doesn't work! You don't get 100 if you multiply the number by it's position and then sum the products.

Reply 4 years ago on Introduction

Thank you for pointing out the mistake. It should be an alternating 1 and 3.