Another Interesting Trick - Multiplying 37

This is an interesting one. 37 = 111/3.

We have learned that, multiplying any number by 111 can be easy. Therefore, for multiplication that involves 37, the process could be much easier if we convert 37 into 111/3. Let's see the examples below.

Example 1:

123 x 37 = ?

$$\begin{array}{l}123\times 37\\ =123\times \frac{111}{3}\\ =41\times 111=4551\end{array}$$

Example 2:
23 x 37 = ?

$$\begin{array}{l}23\times 37\\ =(21+2)\times 37\\ =21\times \frac{111}{3}+2\times 37\\ =7\times 111+74\\ =777+74=851\end{array}$$

Example 3:
532 x 37 = ?

$$\begin{array}{l}532\times 37\\ =(531+1)\times 37\\ =531\times \frac{111}{3}+37\\ =177\times 111+37\\ =19647+37=19684\end{array}$$

Another method

Example 4
37 x 6 = ?

$$\begin{array}{l}37\times 6\\ =37\times 3\times 2\\ =111\times 2=222\end{array}$$

Example 5
37 x 7 = ?

$$\begin{array}{l}37\times 7\\ =37\times 6+37\\ =37\times 3\times 2+37\\ =222+37=259\end{array}$$