Question

Find the smallest number with which 648 must be divided to make it a square number.
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Answer 1

Answer:

Step-by-step explanation:

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Answer 2

Answer:

The smallest number it needs to be multiplied to make it a perfect square is 2.

So for 648 to be a perfect square, the smallest number to be multiplied is 2.

Step-by-step explanation:

Given :

The given number is 648.

To do :

We have to find the number to be multiplied by 648 to make it a perfect square.

Solution :

The prime factorization of 648 is as follows

Prime factors of 648 

= 2 × 2 × 2 × 3 × 3 × 3 × 3 = 2 x (2x2) × (3×3) × (3×3)

648 × 2 = (2×2) × (2×2) × (3×3) × (3×3)

1296 = (2×2×3×3)2

1296 = (36)2.

Therefore, the smallest number it needs to be multiplied to make it a perfect square is 2.

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