# Resource: Multiplication tables

Multiplication patterns can be easily memorised. Read from the top, one column at a time. Every number in the table is the result of the top-most number times the left-most.

Multiplication table
12345678910$\cdots$
2468101214161820
36912151821242730
481216202428323640
5101520253035404550
6121824303642485460
7142128354249566370
8162432404856647280
9182736455463728190
102030405060708090100
$\vdots$

Note certain patterns such as the tens ending in ‘0’, the fives ending in ‘0’ and ‘5’ in turn and the nines incrementing the first while decrementing the second digit per step, ‘9-18-27-36-45$\cdots$’.

Memorising this table – memorising each column – is useful in daily life.

The numbers in the diagonal are powers (numbers multiplied with themselves). A few powers are collected below:

Power table
Squared $^2$Cubed $^3$To the fourth $^4$To the fifth $^5$To the sixth $^6$$\cdots$
248163264
392781243729
4166425610244096
525125625312515 625
6362161296777646 656
749343240116 807117 649
864512409632 768262 144
981729656159 049531 441
10100100010 000100 0001 000 000
$\vdots$