Question

Find the smallest no. By 245 must be divided to get a perfect square.

Answer 1

Answer:

It is very easy.. I will just show you a example then you try..

Step-by-step explanation:

Let us find the prime factors of 2925 using the method prime factorization. Next step : '13' remains without a pair. Hence, 2925 must be divide by 13 to make it a perfect square.

Hope it helps you

Answer 2

Therefore the smallest number by which 245 must be divided to get a perfect square is '5'.

Given:

The number = 245

To Find:

The smallest number by which 245 must be divided to get a perfect square.

Solution:

The given question can be solved very easily as shown below.

Let the small number be 'x'

The given number = 245

The Prime factorization of 245:

5 I 245

7 I 49

     7

The prime factors of 245 = 5 × 7 × 7 = 5 × 7²

So if the number 245 is divided by '5' we will have a perfect square.

⇒ 245/5 = 49

Therefore the smallest number by which 245 must be divided to get a perfect square is '5'.

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