Question

What is the greatest perfect square that is a factor of 275

Answer 1

Answer:

25 is the greatest perfect square.which satisfies the condition.

Answer 2

SOLUTION

TO DETERMINE

The greatest perfect square that is a factor of 275

EVALUATION

Here the given number is 275

We now prime factorise the given number

275 = 5 × 5 × 11

Now the factors of 275 are

5 , 25 , 55 , 275

Since 25 = 5 × 5 = 5²

So 25 is a perfect square

Hence the greatest perfect square that is a factor of 275 is 25

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