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Q.

Factorise 108 into its prime factors using the Factor tree approach.

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a

2² x 3³

b

2² x 3

c

4² x 3³

d

2² x 9³

answer is D.

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Detailed Solution

We need to follow the following steps to factorize a number using a factor tree method:

Step 1: Consider the given number to be the tree's root.

Step 2: Draw the pair of factors as if they were tree branches.

Step 3: Factorize the composite factors once more and note the factor pairs as the branches.

Step 4: Repeat the process until all of the composite factors have prime factors.

Let's factorize 108 using the above steps:

Question Image

108= 2 x 2 x 3 x 3 x 3 = 22 x 33

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