Find the smallest whole number by which 2645 should be divided so as to get a perfect square number.

Home

Question 6 iv For the following number, find the smallest whole number by which it should be divided so as to get a perfect square. Also, find the square root of the square number so obtained:2645

Question

Video Solution

Open in App

Solution

2645=5×23×23Here, prime factor 5 has no pair. Therefore2645 must be divided by 5 to make it a perfect square.2645÷5=529 And √529=√23×23=23526452352923231

Suggest Corrections

1

Similar questions

Q.

For each of the following numbers, find the smallest whole number by which it should be divided so as to get a perfect square number. Also, find the square root of the square number obtained.

(i) 252 (ii) 2925 (iii) 396 (iv) 2645 (v) 2800 (vi) 1620

Q.

Question 6 (iii)

For the following number, find the smallest whole number by which it should be divided so as to get a perfect square. Also, find the square root of the square number so obtained:

396

Q. For number find the smallest whole number by which it should be divided so as to get a perfect square Also find the square root of the square number so obtained
(i) 252

Q. Find the smallest whole number by which 2645 should be multiplied so as to get a perfect square. Also find its square root.

What is the perfect square of 2645?

Therefore, 2645 has to be divided by 5 to obtain a perfect square. 2645 ÷5 = 529 is a perfect square.

Is 2645 a square number?

If the number is divided by 5, then the rest of the prime factor will be in pairs. Therefore, 2645 has to be divided by 5 to get a perfect square.

Is 2645 a perfect square find the smallest number by which it should be multiplied to make it a perfect square also find the square root?

Thus, 2645 needs to be divided by 5 to become a perfect square. Thus, the required smallest whole number by which it should be divided so as to get a perfect square number is 5 and the square root is √529= 23.