Let’s do this by examples

####
**
Question
**

#### Finds the smallest number divided to 32 to get a perfect square.

Since 2 does not occur in pairs,

we divide by 2 to make it a pair

So, our number becomes

32
**
×
**
**
1/2
**
= 2 × 2 × 2 × 2 × 2
**
×
**
**
1/2
**

Now, it becomes a perfect square.

So, we
**
divide
**
32
**
by 2
**
to make it a perfect square

####
**
Question
**

#### Finds the smallest number divided to 90 to get a perfect square.

Here,

2 & 5 do not occur in pairs

So, we divide by 2 and 5 to make pairs

So, our number becomes

90 ×
**
1/2
**
**
×
**
**
1/
**
**
5
**
= 2 × 3 × 3 × 5 ×
**
1/2
**
**
×
**
**
1/5
**

**
**

Now, it becomes a perfect square.

So, we divide 90 by 2 × 5

i.e.
**
10
**
to make it a perfect square

####
**
Question
**

#### Finds the smallest number divided to 120 to get a perfect square.

Here,

2, 3 & 5 do not occur in pairs

So, we divide by 2, 3 and 5 to make pairs

So, our number becomes

Now, it becomes a perfect square.

So, we divide 120 by 2 × 3 × 5

i.e.
**
30
**
to make it a perfect square