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What is a Square Number in Math?

TopSquare number can be defined as an Integer number that is obtained by product of an integer number with same integer number. In other words, square number is stated as the product of an integer number by itself. These Numbers can also be referred to perfect Square. For instance, 16 is a square number, since it is obtained from multiplication of integer 4 with itself (4). Mathematically, if 'n' is an integer number then its multiplication with itself gives square number that is (n * n) is representing a square number. Square number can also be indicated by (n) 2. Let’s take some examples to understand what is a square number in Math?

625 is a square number since it is the product of 25 and 25 that is (25) 2. 10000 is also a square number because it represents multiplication of 100 and 100 (100) 2. Square of any integer is always a positive integer. That is when we multiply two negative integers, product results in a positive number. For instance, consider (- 5). Square of this number will be given as:

(- 5) * (– 5) which results (- * -) (5) * (5). Whenever negative sign multiplies, they produce positive sign hence + 25 will be answer.

Square of (– 5) = (- 5) * (– 5) = + 25. In other words it can be said that a non – negative number is a square number that is its square root is again an integer. For instance, √625 = 25, so 25 is a square number.
Following table shows first ten integers and their square numbers:

Square Number

Integer Number

1

1 × 1

4

2 × 2

9

3 × 3

16

4 × 4

25

5 × 5

36

6 × 6

49

7 × 7

64

8 × 8

81

9 × 9

100

10 × 10