Square number

 Square number 

When a number or integer (not a fraction) is multiplied by itself, the resultant is called a ‘Square Number’.

 For example, 3 multiplied by 3 is equal to

 3-squared or 3 x 3 = 32. So, basically,

 the exponential form of multiplication of a number or integer by itself is called a square number.

Square numbers are always positive. If negative sign is multiplied by itself, it results in positive sign (+). For example,

 (-4)2 = 16. So, we can say here 16 is a positive square number, whose square root is an integer again, i.e.√16 = 4.

Properties of Square Numbers

The following are the properties of the square numbers:

1.  A number with 2, 3, 7 or 8 at unit’s place should never be a perfect square. In other words, none of the square numbers ends in 2, 3, 7 or 8.
2. Perfect square digit sum is always odd number or 4
3.  If the even numbers are squared, it always gives even numbers. Also, if the odd numbers are squared, it always gives odd numbers

Squares of 1 to 50

Numbers	Squares	Numbers	Squares	Numbers	Squares	Numbers	Squares	Numbers	Squares
1	1	11	121	21	441	31	961	41	1681
2	4	12	144	22	484	32	1024	42	1764
3	9	13	169	23	529	33	1089	43	1849
4	16	14	196	24	576	34	1156	44	1936
5	25	15	225	25	625	35	1225	45	2025
6	36	16	256	26	676	36	1296	46	2116
7	49	17	289	27	729	37	1369	47	2209
8	64	18	324	28	784	38	1444	48	2304
9	81	19	361	29	841	39	1521	49	2401
10	100	20	400	30	900	40	1600	50	2500