Question

The least number by which 299 must be multiplied to make perfect s
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Answer 1

The least number by which 299 must be multiplied is 299.

Given:

A number 299.

To find:

The least number by which 299 must be multiplied to make a perfect square.

Solution:

To make a number perfect square we need to check the factors.

The factors of 299 are 13 and 23.

299= 13 × 23

To make it a perfect square, we have to pair both factors.

This can be done by the following pairs,

i.e. 13×13 and 23×23

So, to make 299 a perfect square we need to multiply it by 13 and 23.

So, 299 becomes a perfect square when the factors are 13×13×23×23.

The product of 13 and 23 is 299.

So, the number by which 299 should be multiplied to make a perfect square is 299.