Find the greatest 4 digit number which is a perfect square


An integer that can be expressed as the square of another integer is called a perfect square. In other words, it is defined as the product of some integer with itself. The perfect squares are the squares of the whole numbers such as 1 or 12, 4 or 22, 9 or 32, 16 or 42, 25 or 52 and so on

Greatest 4 digit number which is a perfect square

To find the largest perfect square four-digit number, we must first determine the largest four-digit number.

  • The greatest 4-digit number is 9999.

When we double the number mentioned above by one, we get a five-digit number. Hence the greatest perfect square four-digit number should be less than or equal to 9999.

We know that,

The square of 100 is 10000 or 1 more noteworthy than the biggest 4-digit number.

So, the closest square root of the largest perfect square is 99. So. The square of 99 is 9801

Hence, The greatest 4-digit number is 9999, and it is the closest square of 99.

Smallest 4 digit number which is a perfect square

  • The smallest 4-digit number is 1000.

Watch the video for further information on the number system

Refer more

  1. Find the perfect square numbers between (i) 30 and 40 (ii) 50 and 60
  2. The largest 4-digit and smallest 4-digit numbers formed by using the digits 4,0,3,7 each only once respectively are(1) 4370, 4307(2) 3740, 3047(3) 7403, 3704(4) 7430, 3047

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