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:

  1. Square Numbers END only in
    00, 1, 4, 6, 9, 25

  2. Numbers ending in
    0, 2, 3, 5, 7 or 8
    cannot be squares

  3. Square of ODD is ODD &
    EVEN is EVEN

  4. Sq. Nos. increase by
    odd numbers 1, 3, 5, ...

  5. Consecutive sq. nos. differ by
    sum of bases
    82 - 72 = 7 + 8

  6. Number of digits in a square is 'twice' or '1 less than twice'
    the digits in the base.