Question

find the smallest number of which 6272 must be divided so it becomes a perfect square

Answer 1

first we need to find the prime factorization of 6272

→ 6272 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 7

$= {2}^{2} \times {2}^{2} \times {2}^{2} \times {2}^{1} \times {7}^{2}$

therefore , the required smallest number is 2

now,

6272/2= 3136

3136 is the required number.

verification:

$\sqrt{3136} = {2}^{2} \times {2}^{2} \times {2}^{2} \times {7}^{2} \\ \\ = 2 \times 2 \times 2 \times 7 \\ \\ = 56$
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Answer 2

Answer:

.

Step-by-step explanation: