16. SQUARE NUMBERS-FACTS

__List of SQUARE NUMBERS__

__Squares of Natural Numbers__
**0, 1, 4, 9**

16, 25, 36, 49, 64, 81

100, 121, 144, 169, 196

225, 256, 289

324, 361

400, 441, 484

529, 576

625, 676

729, 784

841

900, 961 ...
#### Facts About Square Nombers:

- Square Numbers END only in

**00, 1, 4, 6, 9, 25**

- Numbers ending in

**0, 2, 3, 5, 7 or 8**

cannot be squares

- Square of ODD is ODD &

EVEN is EVEN

- Sq. Nos. increase by

odd numbers 1, 3, 5, ...

- Consecutive sq. nos. differ by

sum of bases

8^{2} - 7^{2} = 7 + 8

- Number of digits in a square is 'twice' or '1 less than twice'

the digits in the base.