Question

find the smallest number by which 32448 must be divided so that the quotient is a perfect square

Answer 1

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Answer 2

Answer:

first find prime factorisation

then pair them up and then divide the odd number

Step-by-step explanation:

2| 32448

2| 16224

2| 8112

2| 4056

2| 2028

2| 1014

3| 507

13| 169

13| 13

| 1

2x2 2x2 2x2 x13x13 x3

32448\3 = 2x2 2x2 2x2 13x13.

no divide 1816 = 2x2x2x13

= 104