Question

Annabelle arranged her 42 building blocks into 3 rows of 14 blocks. Then, she rearranged them into 6 rows of 7 blocks. What two other factor pairs could Annabelle use to help her rearrange the blocks again? Explain your answer using complete sentences.

Answer 1

Answer:

21 rows 2 blocks

1 row 42 blocks

Step-by-step explanation:

Given that:

Number of blocks with Annabelle = 42

First arrangement = 3 rows 14 blocks

Second arrangement = 6 rows 7 blocks

To find:

The other two factor pairs that could be used to rearrange the blocks again?

Solution:

Here, we will have to find the factor pairs of total number of blocks present with Annabelle.

i.e. 42

First of all, let us have a look at the factor pairs of 42.

$42 = 3\times 14\\42 = 6\times 7\\42 = \underline{2\times 21}\\42 = \underline{1\times 42}$

Therefore, the other two factor pairs can be 2, 21 and 1, 42.

The other two possible factor pairs are:

21 rows 2 blocks

1 row 42 blocks