1. CoffeeMath
Methods, Tips & Tricks
Seeking for new generalisation
to evaluate the products.
Multiplication of Even Numbers
2, 4, 6 & 8

2. Tabulate: The Products of
Multiplication Table Of 2 2 4 6
8 0 2
02 04 06
X 2
4 6 8
1 = 02 08 10 12
2 = 04
3 = 06
4 = 08 14 16 18
5 = 10 Erase the first
6 = 12 digit (black)
7 = 14 and retain the
8 = 16 Tabulate the last digit (red)
9 = 18
10 = 20 Product as
shown above

3. Tabulate: The Products of
Multiplication Table Of 4 4 8 2
6 0 4
04 08 12
X 4
8 2 6
1 = 04 16 20 24
2 = 08
3 = 12
4 = 16 28 32 36
5 = 20 Erase the first
6 = 24 digit (black)
7 = 28 and retain the
8 = 32 Tabulate the last digit (red)
9 = 36
10 = 40 Product as
shown above

4. Tabulate: The Products of
Multiplication Table Of 6 6 2 8
4 0 6
06 12 18
X 6
2 8 4
1 = 06 24 30 36
2 = 12
3 = 18
4 = 24 42 48 54
5 = 30 Erase the first
6 = 36 digit (black)
7 = 42 and retain the
8 = 48 Tabulate the last digit (red)
9 = 54
10 = 60 Product as
shown above

5. Tabulate: The Products of
Multiplication Table Of 8 8 6 4
2 0 8
08 16 24
X 8
6 4 2
1 = 08 32 40 48
2 = 16
3 = 24
4 = 32 56 64 72
5 = 40 Erase the first
6 = 48 digit (black)
7 = 56 and retain the
8 = 64 Tabulate the last digit (red)
9 = 72
10 = 80 Product as
shown above

6. Here are the tabularized last digits of products.
Let’s us examine the similarities of the number patterns
Times Table of 4
Times Table of 2
2 4 6 4 8 2
8 0 2 6 0 4
4 6 8 8 2 6
Times Table of 8
Times Table of 6
6 2 8 8 6 4
4 0 6 2 0 8
2 8 4 6 4 2

7. Here are the tabularized last digits of products.
Let’s us examine the similarities of the number patterns
Times Table of 4
Times Table of 2
2 4 6 4 8 2
8 0 2 6 0 4
4 6 8 8 2 6
Times Table of 8
Times Table of 6
6 2 8 8 6 4
4 0 6 2 0 8
2 8 4 6 4 2

8. Let’s us examine the similarities of the number patterns
Times Table of 4
Times Table of 2
2 4 6 4 8 2
8 0 2 6 0 4
4 6 8 8 2 6
Times Table of 8
Times Table of 6
6 2 8 8 6 4
4 0 6 2 0 8
2 8 4 6 4 2

9. Let’s us examine the similarities of the number patterns
Times Table of 4
Times Table of 2
2 4 6 4 8 2
8 0 2 6 0 4
4 6 8 8 2 6
Times Table of 8
Times Table of 6
6 2 8 8 6 4
4 0 6 2 0 8
2 8 4 6 4 2

10. Let’s us rotate the Times Table of 4, 6 and 8 only.
Times Table of 4
Times Table of 2
2 4 6 4 8 2
8 0 2 6 0 4
4 6 8 8 2 6
Times Table of 8
Times Table of 6
6 2 8 8 6 4
4 0 6 2 0 8
2 8 4 6 4 2

11. Times Table of 6 Times Table of 2
4 2
8
2
4
8
0
4
6
6 0 4 2
6
8 2 6 8
Times Table of 8 Times Table of 4
8
2
4
2 8 2
6
0
4
6 0 4
8
2
6
8 4 6
Let’s us rotate every the number of Times Table of 4, 6 and 8.

12. Final Result fulfills with…
2 4 6 Times Table of 2
Times Table of 4
8 0 2
Times Table of 6
4 6 8 Times Table of 8

13. Now we use this generalisation
to evaluate the products.

14. Multiplication of 2
Click any link
X2
Menu
X 2
02 04 06
X 4
X 6 08 10 12
X 8
14 16 18
FINISH

15. Multiplication of 4
Click any link
Menu
X 2
12 24 36
X 4
X 6 08 20 32
X 8
04 16 28
FINISH
X4

16. Multiplication of 6
Click any link
X6
Menu
X 2
42 24 06
X 4
X 6 48 30 12
X 8
54 36 18
FINISH

17. Multiplication of 8
Click any link
Menu
X 2
72 64 56
X 4
X 6 48 40 32
X 8
24 16 08
FINISH
X8

18. Thanks