Let’s find square root of 36 using Prime factorization

First, we do prime factorization of 36

36 = 2 × 2 × 3 × 3

Now,

we make groups of two

So,

Square root of 36 = 2 × 3

= 6

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Square root of 49
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So, Square root of 49 = 7

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Square root of 64
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So, Square root of 64 = 2 × 2 × 2

= 8

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Square root of 324
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So, Square root of 64 = 2 × 3 × 3

= 18

Thus,

Smallest number multiplied = 2 × 5 = 10

& Number = 900 is a perfect square

& Square root of number = 30