Interesting Facts ----> 41 - Speciality of 1681

Let's look at the number 1681

- It is 41 * 41 (just  coincidence that my Blog series is also 41 :))
- Now split 1681 into two parts - 16 and 81
- 16 is 4 * 4 and 81 is 9 * 9
- Drilling down further... 4 is again 2 * 2 and 9 is 3 * 3

Net-Net this is how it looks

Row 1 ---  1681
Row 2 ---    4  9   (Square root of 16 and 81)
Row 3 ---    2  3   (Square root of 4 and 9)

Now look further....

Look at the number in the second row - 49.

Square of 49 is 2401. Again if you subtract the digits 24 and 01 you get 23 which is the 3rd row in the above series :)

Can you find a number exhibiting similar pattern?

Please don't count numbers which end in "00" (like 3600, 8100)

Interesting Facts ----> 40 - Multiplication of two digit squares

This is an interesting way to find squares of two digit numbers - Need to test it for all combinations though but works for quite a few of them so far whatever I have tested :)

57
57
---
2549 (5*5 = 25, 7*7 = 49)
  70    (5+5) * 7 or (7+7) * 5 ----> Note the way 70 is written below the first line
-----
3249
-----

68
68
----
3684
  96
-----
4624
-----

46
46
----
1636
  48
------
2116
------

97
97
-----
8149
126 -------------> Notice how 126 is written due to the extra digit
-----
9409
-----