# Multiplication Table

This is the 15 times table.

 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 3 0 3 6 9 12 15 18 21 24 27 30 33 36 39 42 45 4 0 4 8 12 16 20 24 28 32 36 40 44 48 52 56 60 5 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 6 0 6 12 18 24 30 36 42 48 54 60 66 72 78 84 90 7 0 7 14 21 28 35 42 49 56 63 70 77 84 91 98 105 8 0 8 16 24 32 40 48 56 64 72 80 88 96 104 112 120 9 0 9 18 27 36 45 54 63 72 81 90 99 108 117 126 135 10 0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 11 0 11 22 33 44 55 66 77 88 99 110 121 132 143 154 165 12 0 12 24 36 48 60 72 84 96 108 120 132 144 156 168 180 13 0 13 26 39 52 65 78 91 104 117 130 143 156 169 182 195 14 0 14 28 42 56 70 84 98 112 126 140 154 168 182 196 210 15 0 15 30 45 60 75 90 105 120 135 150 165 180 195 210 225

Since it is not matter in which order to multiply numbers (for example ${8}\times{3}={3}\times{8}={24}$), we actually don't need nearly one half of table (ignore blue or pink part of the table). This makes it easier to remember the table.

How to read multiplication table? Suppose you want to multiply 12 by 8. Look below and see how to find a value.

 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 3 0 3 6 9 12 15 18 21 24 27 30 33 36 39 42 45 4 0 4 8 12 16 20 24 28 32 36 40 44 48 52 56 60 5 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 6 0 6 12 18 24 30 36 42 48 54 60 66 72 78 84 90 7 0 7 14 21 28 35 42 49 56 63 70 77 84 91 98 105 8 0 8 16 24 32 40 48 56 64 72 80 88 96 104 112 120 9 0 9 18 27 36 45 54 63 72 81 90 99 108 117 126 135 10 0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 11 0 11 22 33 44 55 66 77 88 99 110 121 132 143 154 165 12 0 12 24 36 48 60 72 84 96 108 120 132 144 156 168 180 13 0 13 26 39 52 65 78 91 104 117 130 143 156 169 182 195 14 0 14 28 42 56 70 84 98 112 126 140 154 168 182 196 210 15 0 15 30 45 60 75 90 105 120 135 150 165 180 195 210 225

So, ${12}\times{8}={96}$.

You can also make sure that ${8}\times{12}={12}\times{8}={96}$.