^{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 |