Question

find the smallest number by which of the following numbers be divided to obtain a perfect square also find the square root of the perfect square so obtained a) 6480​

Answer 1

Answer:

5

Step-by-step explanation:

1. Find the factors using prime factorisation.

2 | 6480

2 | 3240

2 | 1620

2 | 810

3 | 405

3 | 135

3 | 45

3 | 15

5 | 5

1 | 1

2. Make pairs ( for e.g. 2,2 makes one pair).

Therefore, 6480 must be divided by 5 so as to obtain a perfect square. As, 5 is only left to be paired.

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