Question

5. Find the least number by which 8450 should be divided to make it
perfect square. Find also the square root of the resulting numbet
Find the least number which must​

Answer 1

Step-by-step explanation:

For this, we use the method called prime factorization.

Step 1 :

Find the prime factors of the given number.

Step 2 :

To find the square root, we have to group the factors as pairs.

Step 3 :

By grouping the factors as pairs, we may find some of the numbers which are being extra.These are the required numbers to be divided in order make the given number as a perfect square.

Example 1 :

Find the least number by which 384 must be divided to make it a perfect square.

Solution :

Step 1 :

Let us find the prime factors of 384 using the method prime factorization.

Step 2 :

384 = 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 3

Step 3 :

‘3’ and '2' remains without a pair.

Hence, 384 must be divided by 6 to make it a perfect square.

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