 # Quick Answer: Why Does The 1089 Trick Work?

## What is special about the number 1089?

It is a square number (33 squared), a nonagonal number, a 32-gonal number, a 364-gonal number, and a centered octagonal number.

1089 is the first reverse-divisible number.

The next is 2178 (= 1089 × 2 = 8712/4), and they are the only four-digit numbers that divide their reverse..

## Why is 6174 a magic number?

6174 is known as Kaprekar’s constant after the Indian mathematician D. R. Kaprekar. This number is notable for the following rule: … Arrange the digits in descending and then in ascending order to get two four-digit numbers, adding leading zeros if necessary.

## How does the number trick work?

One type of number trick involves adding, subtracting, multiplying, or dividing by a starting number and subtracting the original number in such a way that each participant always arrives at a certain number: Think of a number between 1 and 100. Multiply your number by 4. Add 12.

## What is the square root of 1089?

337) Therefore the square root of 1089 is 33.

## How do you do the 1089 Trick?

Always End With 1089Pick a three digit number. The three digits used must be different*. i.e. 123. … Take the smallest three digit number from the largest. 321 − 123 = 198. Take the answer and reverse that number. … Add that number to the answer of the subtraction. 891 + 198 = 1089. The answer will be 1089!