Perfect square numbers properties

Learn what are perfect square numbers and how to identify the given numbers as perfect square numbers. In school level learning perfect squares is necessary. Not only in school level those are preparing for bank exams should also learn about square numbers.

Perfect square numbers

It is easy to differentiate perfect square numbers and non-perfect square numbers by some important properties. Before going to square number properties first we should learn the definition of perfect square numbers.

Do you know how exactly we can define a perfect square number?

A number is said to be a perfect square number if it can be expressed as square of any other number.

Example:

The numbers 1, 4, 9, 16…are perfect square numbers as they can be written as squares of 1, 2, 3, 4 …

Some important properties of perfect square numbers:

If the given numbers consists the unit digit as 2, 3, 7, 8 then they are not perfect squares. By this we can understand that if the numbers ending with 0, 1, 4, 5, 6, and 9 are perfect squares.

NOTE: So based on above square number property we can easily find out which are perfect squares and which are not perfect squares.

If a number contains odd number of zeros in it then the given number is not perfect square number. Perfect squares contains always even number of zeros in it.

The numbers which are ending with 2 or 8 their square numbers ends with 4.

If the numbers ends with 3 or 7 then their square numbers ends with 9.

Suppose if the numbers whose unit digit is either 4 or 6 then their square numbers ends always with 6.

If a number whose unit digit is 5 then its square number ends with 5 only.

The numbers whose unit digit is either 1 or 9 then their square numbers always ends with 1.

If a number whose unit digit is 0 then its square number ends with 0.

Perfect square numbers properties

Below you can find the number of perfect square numbers till 10000.

Number of Perfect square numbers from 1 to 1000: 31

Number of square numbers from 1000 to 2000: 13

Number of Perfect squares from 2000 to 3000: 10

Number of square numbers from 3000 to 4000: 9

Number of Perfect square from 4000 to 5000: 7

Number of Perfect squares from 5000 to 6000: 7

Number of Perfect square numbers from 6000 to 7000: 6

Number of square numbers from 7000 to 8000: 6

Number of Perfect squares from 8000 to 9000: 5

Number of square numbers from 9000 to 10000: 6

I hope you are now clear about square numbers.

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