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?

Answer 1

Answer: 3 rows of 14

Answer 2

SOLUTION

GIVEN

Annabelle arranged her 42 building blocks into 3 rows of 14 blocks. Then, she rearranged them into 6 rows of 7 blocks.

TO DETERMINE

The two other factor pairs Annabelle could use to help her rearrange the blocks again

EVALUATION

Here it is given that , Annabelle arranged her 42 building blocks into 3 rows of 14 blocks. Then, she rearranged them into 6 rows of 7 blocks.

Since 42 = 3 × 14 & 42 =6 × 7

For this such arrangement was possible

Now 42 can be rewritten as

$42 = 7 \times 6$

$42 = 14 \times 3$

Hence the two other factor pairs Annabelle could use to help her rearrange the blocks again is

14 rows of 3 blocks and 7 rows of 6 blocks.

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