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!

What 4 digit number multiplied by 9 is itself backwards?

Answer. 9*1089 = 9801.

Is 1089 a perfect square?

1089 is also a perfect square. … Factors of 1089: 1, 3, 9, 11, 33, 99, 121, 363, 1089. Factor pairs: 1089 = 1 × 1089, 3 × 363, 9 × 121, 11 × 99, or 33 × 33. 1089 is a perfect square.

What is the 9 trick in math?

A Mathemagical Trick Start by thinking of a number, any number. Now, multiply that number by 9. If the result is a multi-digit number, add its digits together to come up with a new number. If that new number is still a multi-digit number, add its digits together to come up with yet another new number.

Is 0 a magic number?

0, 1, -1, 2 These are not generally considered magic numbers, and it’s ok to have them in your code. However, it’s often possible to add more context to explain why you’re using these numbers.