Question

5. Find the smallest natural number by which 363 should be divided so as to get a perfect square. ​

Answer 1

Question:

Find the smallest natural number by which 363 should be divided so as to get a perfect square.

Step-by-step explanation:

Given number :

363

To Find :

Smallest natural number divided by 363 to get a perfect square.

Procedure :

• STEP 1.

Factorise the number by prime factorisation method .

${\bold{\begin{array}{r|1} 3 & 363 \\ \cline{2-2}11&121 \\ \cline {2-2} & 1 \end{array}}}$

So we get factors of 363 as :

$11 \times 11 \times 3$

$\implies \: 363 = {11}^{2} \times 3$

$\implies \: 121 \times \not 3 = {11}^{2} \times \not3$

$\implies$

We have to divide 3 from original number so as to get a perfect square of 11.

What You Need To Know ?

What is a perfect square ?

A perfect square are such numbers which are the exact result of squaring a whole number.

A number ending with 2 , 4 , 9 , 5 , 6 and 0 can never be a perfect square.

Who introduced the idea of perfect square ?

Duijvestijn was a mathematician who introduced the idea of perfect square.