Find the smallest number by which 1620 must be divided to get a perfect square.

Solution:

Given, the number is 1620.

We have to find the smallest number by which 1620 must be divided to get a perfect square.

Using prime factorisation,

So, 1620 = 2 × 2 × 3 × 3 × 3 × 3 × 5

We observe that 5 occurs without a pair.

Therefore, the required smallest number is 5.

Verification:

1620/5 = 324

324 is a perfect square.

✦ Try This: Find the smallest number by which 1500 must be divided to get a perfect square.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 3 Sample Problem 33

Find the smallest number by which 1620 must be divided to get a perfect square

Summary:

The smallest number by which 1620 must be divided to get a perfect square is 5

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