Nabu's Knee-knocker
SQUARE NUMBERS
A square number is the number of dots in a square array,
or a number that can be written as a whole number times itself.
For example, some square numbers are 0, 1, 4, 9, 16, 25, and so
on.
| 0
= 0 x 0 |
1
= 1 x 1 |
4
= 2 x 2 |
| 9
= 3 x 3 |
16
= 4 x 4 |
25
= 5 x 5 |
| Problem 1 |
 |
Find the smallest
positive integer N such that the product N x 88 is a square
number.
|
| Problem 2 |
|
Find the largest
square number that is a divisor (factor) of 42 336.
|
| Problem 3 |
|
Write 1 000 000
(one million) as a product of two square numbers neither of
which is a multiple of 10. |
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|
