# Properties of Square Numbers

## Notes

### Properties of Square Numbers:

 Number Square Number Square 1 1 16 256 2 4 17 289 3 9 18 324 4 16 19 361 5 25 20 400 6 36 21 441 7 49 22 484 8 64 23 529 9 81 24 576 10 100 25 625 11 121 26 676 12 144 27 729 13 169 28 784 14 196 29 841 15 225 30 900
• After observing the given table,
All these numbers end with 0, 1, 4, 5, 6, or 9 at the unit place. None of these end with 2, 3, 7, or 8 at the unit’s place.
So we can say that,
• All square numbers end with 0, 1, 4, 5, 6, or 9 at the unit place. If a number has 2, 3, 7, or 8 in its units place then it is not a square number.

• If a number has 1 or 9 in the units place, then it’s square ends in 1.

•  Square Number 1 1 81 9 121 11 361 19 441 21
• When a square number ends in 6, the number whose square it is will have either 4 or 6 in the unit’s place.
 Square Number 16 4 36 6 196 14 256 16
• Square numbers can only have an even number of zeros at the end.

 Square Number 10000 100 40000 200 490000 700 810000 900
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Properties of Square Numbers - Part 1 [00:05:48]
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