Question

What least number should 77077 be multiplied to get perfect square ?

Answer 1

Here is your answer

77077=7×7×11×11×13
Hence if we multiply 13 to 77077 we can get a perfect square.

Answer 2

Concept:

The multiplication is the mathematical operation that is the method of finding the product of the given numbers.

Given:

The number 77077 be multiplied to get a perfect square.

Find:

We are asked to find the least number that should be multiplied to 77077  to get a perfect square.

Solution:

We have,

The number 77077,

Now,

We have to multiply the given number to get a perfect square.

So,

First, find the factor of the given number,

i.e.

The number 77077,

Now,

77077 = 7 × 7 × 11 × 11 × 13

So,

We can see that in the factors of the above number evry othere number is in pair except 13,

And

For being a perfect square a number must-have pair of all the numbers,

So,

According to the question,

To get the perfect square,

Multiply the number 77077 by 13,

We get,

1002001

Which is the perfect square of the number 1001.

Hence, the least number that should be multiplied by 77077 to get the perfect square is 13.

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