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Interactive Pythagoras table

Hover over any number and see the magic!

Result
Select a number
1
2
3
4
5
6
7
8
9
10
2
4
6
8
10
12
14
16
18
20
3
6
9
12
15
18
21
24
27
30
4
8
12
16
20
24
28
32
36
40
5
10
15
20
25
30
35
40
45
50
6
12
18
24
30
36
42
48
54
60
7
14
21
28
35
42
49
56
63
70
8
16
24
32
40
48
56
64
72
80
9
18
27
36
45
54
63
72
81
90
10
20
30
40
50
60
70
80
90
100

Pythagoras table: why is it the best way to understand multiplication?

Many of us learned multiplication in school from long, boring columns: "2 times 1 equals 2, 2 times 2 equals 4...". This is exhausting and encourages simply "cramming" numbers without any understanding.Pythagoras table is an ancient but brilliant tool that turns multiplication into a logical game rather than a memory test. It is like a map where a child sees how numbers are connected.

How does it differ from a simple table?

A simple multiplication table has 100 separate operations. That's scary. In the Pythagoras table, the child quickly sees that they need to learn twice as less. Why? Because the table is symmetrical!

Look diagonally: 3 × 4 is the same as 4 × 3. This is a huge discovery for a child – "If I know the 3 times table, I already know part of the 4 times table!". It gives confidence and motivation because the work seems manageable.

How to use this tool?

  • Choose a number from the top row (e.g., 7).
  • Choose a number from the left column (e.g., 8).
  • Move your finger (or mouse cursor) down and to the right until the lines intersect.
  • The intersection point (56) is the answer!

In our interactive version, it is even simpler – just hover your mouse, and we will highlight the path for you. It develops the child's spatial thinking and coordination.

Diagonal of squares

Pay attention to the diagonal running from the top left corner (1) to the bottom right (100). These are squares: 2×2=4, 3×3=9, 4×4=16... This is like the backbone of the table. Once this diagonal is learned, the rest of the table becomes much easier to understand because it is reflected "mirror-like" on both sides of this line.

Parent tip

Let the child "discover" patterns themselves. Don't ask "how much is 5 times 5?". Instead, ask: "Look what happens when we move diagonally? Do you see how the numbers increase?". Such exploration is much more valuable than blind cramming.