Properties of Square Numbers

# Properties of Square Numbers

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• Properties of Square Numbers
• Summary
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In this segment, we will look at some properties of square numbers.

## What are the properties of square numbers?

Given below is a table showing numbers from 1 to 20 and their squares. Using this table, we will discuss the properties of square numbers.

 Numbe r Square Numbe r Square Numbe r Square Numbe r Square 1 1 6 36 11 121 16 256 2 4 7 49 12 144 17 289 3 9 8 64 13 169 18 324 4 16 9 81 14 196 19 361 5 25 10 100 15 225 20 400

## All square numbers end with the digits 0, 1, 4, 5, 6 or 9.

From the table is it obvious that every square number ends in one of these digits. This means any number ending in 2, 3, 7 and 8 is definitely not a square number.

## The squares of even numbers are even.

Even numbers are numbers that end in 0, 2, 4, 6, or 8. And we know that the product of 2 even numbers is always even.

1. The squares of odd numbers are odd.

## Related content

 Adding triangular numbers Adding odd numbers Numbers between square numbers Sum of consecutive natural numbers Product of two consecutive odd or even natural numbers Some more patterns in square numbers Squares 01 – Basics

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