# If an A4 paper is folded in half 50 times, what will its thickness be?

Hello, in today’s Information Corner article ‘What will be the thickness if an A4 paper is folded in half 50 times?’ we are looking for an answer. Before reading the answer to our question, you can specify your guesses in the comments :).

First of all, let’s start to find an answer to question by examining the dimensions of A4 paper.
An A4 Paper;
Width: 21 cm
Height: 29.7 cm
Thickness: ~0.1 mm

When an A4 paper is folded in half 50 times, the change in size is of no concern to us, so we will use the thickness

#### Calculations

Let’s come to the thickness calculation, which is the answer to our question. We mentioned above that the thickness of an A4 paper is approximately 0.1 mm. When we fold the A4 paper in half a few times;
1. Folding = (0.1) x 2 = 0.1 x 2¹ mm
2. Folding = (0.1) x 4 = 0.1 x 2² mm
3. Folding = (0.1) x 8 = 0.1 x 2³ mm
4. Folding = (0.1) x 16 = 0.1 x 2⁴ mm
5. Folding = (0.1) x 32 = 0.1 x 2⁵ mm
….
As you can see, it proceeds as a product of 2 over each fold.
50. Folding = (0.1) x (1.125899907×10¹⁵) = (0.1) x 2⁵⁰ = 1.125899907×10¹⁴ mm is happening.
Now let’s convert this value to cm, m and km respectively;
1.125899907×10¹⁴ mm = 1.125899907×10¹³ cm = 1.125899907×10¹¹ m = 125,589,990.7 km yani okunuşuyla 125 milyon 589 bin 990 km is happening.