Property 1: Square of all Natural Numbers ends with either 0 or 1 or 4 or 5 or 6 or 9 at its one's place.
Property 2: If a Natural Number has 1 or 9 at its one's place, then the Square of such Natural Numbers must have 1 at its one's place.
Property 3: If a Natural Number has 4 or 6 at its one's place, then the Square of such Natural Number must have 6 at its one's place.
Property 4: If a Natural Number is a square number, then it has to be the sum of successive odd numbers starting from 1
Property 5: An Odd Square Number is a Sum of two Consecutive Natural Numbers
Property 6: Square of Even numbers leads to Even Square Number only.
Property 7: Square of Odd Numbers leads to Odd Square Number only.
Property 8: If a Natural Number has 5 at its one's place, then the Square of such Natural Number must have 5 at its one's place also.
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