# Topic for this project: *Analyzing Patterns and Properties of Perfectly Square Numbers.*

1. The factorisation of numbers is a very important procedureto solve this problem.

2. The aim is to identify the perfectly square numbers from 1 to 10

3. The starting position for each number is in OFF state
We start with “number 1” and “ON” the every number position as “1” is factor for every number (from table)
Then we start with “number 2” . The factors for 2 are 2 and 1

4. Thus, initially it was in OFF state. And then it will be “ON” and “OFF” as per the factors (from table).

1 = 1x1 (ON) Odd pattern

2= 2x1 (ON - OFF) Even pattern

3 = 3x1 (ON - OFF)Even pattern

4 = 2x2x1 (ON - OFF-ON)Odd pattern

5 = 5 x1 (ON - OFF) Even pattern

6 = 3x2x1 = 6x1 = (ON - OFF) Even pattern

7 = 7 x1(ON - OFF) Even pattern

8 = 2x2x2x1 (ON - OFF - ON - OFF) Even pattern

9 = 3x3x1 (ON - OFF-ON) Odd pattern

10 = 2x5x1= 10x1 (ON - OFF-ON -OFF) Even pattern

Thus, Perfectly square numbers have Odd patterns for ON -OFF sequence.

(See attached image for ON -OFF pattern)

Watch the video here:

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