# Multiplying a Two Digits Number by 33

Conditions:
1. The multiplicand is a two digits number.
2. The multiplier is 33.
Note:

Before this, we have learned a trick on how to multiply a two digits number by 99. Therefore, when multiplying a number by 33, we may convert 33 to 99/3. Since multiplying a number by 99 can be done easily, hence this calculation can be completed easily.

Example 1:
78 x 33 = ?
Answer:
$78×33 =78× 99 3 =26×99=2574$
Note: 78 is a multiple of 3. Therefore, you are advised to divide 78 by 3 before moving on to the multiplication.

Example 2:
267 x 33 = ?
Answer:
$267×33 =267× 99 3 =89×99=8811$
Even though 267 is not a two digits number, it can still be solved by using this trick because it is a multiple of 3, and after divided by 3, it is reduced to 87, which is a two digit number.

Example 3:
47 x 33 = ?
Answer:
$47×33 =47× 99 3 = 4653 3 =1551$
47 is not a multiple of 3. Therefore you are advised to do the multiplication first, then only divide the product by 3.