Which Products Give the Answers in the Times Tables?

Being able to list a bunch of numbers or knowing the answers to all the multiplications isn’t enough in and of itself. You also need to be able to know which multiplications give you a specific answers. For that reason, you need to learn which multiplications are connected to each of the different answers in the times tables.

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Example 1

Which factors in the times tables make up the product 24?

The product 24 can be written as the following multiplications from the times tables: $\begin{array}{llll}\hfill 24& =4\cdot 6\phantom{\rule{2em}{0ex}}& \hfill & \phantom{\rule{2em}{0ex}}\\ \hfill & =6\cdot 4\phantom{\rule{2em}{0ex}}& \hfill & \phantom{\rule{2em}{0ex}}\\ \hfill & =3\cdot 8\phantom{\rule{2em}{0ex}}& \hfill & \phantom{\rule{2em}{0ex}}\\ \hfill & =8\cdot 3\phantom{\rule{2em}{0ex}}& \hfill & \phantom{\rule{2em}{0ex}}\end{array}$

Example 2

Which factors in the times tables give you the product 36?

The product 36 can be written as the following multiplications from the times tables: $\begin{array}{llll}\hfill 36& =4\cdot 9\phantom{\rule{2em}{0ex}}& \hfill & \phantom{\rule{2em}{0ex}}\\ \hfill & =9\cdot 4\phantom{\rule{2em}{0ex}}& \hfill & \phantom{\rule{2em}{0ex}}\\ \hfill & =6\cdot 6\phantom{\rule{2em}{0ex}}& \hfill & \phantom{\rule{2em}{0ex}}\end{array}$

Example 3

Which factors in the times tables give you the product 30?

The product 30 can be written as a multiplication of the following numbers: $\begin{array}{llll}\hfill 30& =5\cdot 6\phantom{\rule{2em}{0ex}}& \hfill & \phantom{\rule{2em}{0ex}}\\ \hfill & =6\cdot 5\phantom{\rule{2em}{0ex}}& \hfill & \phantom{\rule{2em}{0ex}}\\ \hfill & =3\cdot 10\phantom{\rule{2em}{0ex}}& \hfill & \phantom{\rule{2em}{0ex}}\\ \hfill & =10\cdot 3\phantom{\rule{2em}{0ex}}& \hfill & \phantom{\rule{2em}{0ex}}\end{array}$

Example 4

Which factors in the times tables give you the product 64?

The product 64 can be written as the multiplication of the following numbers from the times tables:

 $64=8\cdot 8$

Example 5

Which factors in the times tables give you the product 18?

The product 18 can be written as the multiplication of the following numbers from the times tables: $\begin{array}{llll}\hfill 18& =2\cdot 9\phantom{\rule{2em}{0ex}}& \hfill & \phantom{\rule{2em}{0ex}}\\ \hfill & =9\cdot 2\phantom{\rule{2em}{0ex}}& \hfill & \phantom{\rule{2em}{0ex}}\\ \hfill & =3\cdot 6\phantom{\rule{2em}{0ex}}& \hfill & \phantom{\rule{2em}{0ex}}\\ \hfill & =6\cdot 3\phantom{\rule{2em}{0ex}}& \hfill & \phantom{\rule{2em}{0ex}}\end{array}$