1936 is a square number. That means you can make it by multiplying a whole number by itself:

1936 = 44 x 44

I recently did some maths to get 1936:

- I started with a single digit square number
- I added one digit to it to get another square
- Then I added another digit to get another square
- Then I added another digit and I got 1936, which is also a square!

Can you work out all the squares I made?

Scroll down for the answer!

## Brainteaser answer

There are lots of ways to solve this puzzle – here’s one:

- The single digit square must have been 1 or 9 – there is no 4 in 1936.
- Similarly, the two digit square must have been 16 or 36.
- From these two, you can tell that my squares must have been 1, 16, ???, 1936.
- A bit of mucking about on a calculator reveals that 14 x 14 = 196. This fills the gap: 1, 16, 196, 1936.

If you like bending the rules a bit, you can also have: 9, 36, 361, 1936, as long as you’re okay with flipping the 9 upside down!

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