Question

Matt has 16 CDs. How many ways can he arrange the CDs so they are in equal rows?

Answer 1

Matt could do one of the following arrangements;

2 rows of 8 CDs

4 rows of 4 CDs

Answer 2

• Matt has 16 CDs.

• Arrangement of the CD's so that they can have equal rows, we would have to find the factors of 16.

• Factors of 16 are: 1, 2, 4, 8 and 16

• This means:

       8 x 2 = 16

      4 x 4 = 16

Hence,

• 1st Way: Matt can arrange his CDs in 8 rows and he will have 2 CDs in each row.

• 2nd Way: Matt can arrange his CDs in 4 rows and he will have 4 CDs in each row.

Therefore, the number of ways can he arrange the CDs so they are in equal rows is 2 ways

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