The greatest 4-digit number is 9999. We know that, The square of 100 is 10000 or 1 more noteworthy than the biggest 4-digit number. Hence, The greatest 4-digit number is 9999, and it is the closest square of 99.

## What is the greatest 4 digit perfect square?

And therefore 9801 is the greatest four digit number which is a perfect square.

## What is the smallest four digit number which is a perfect square?

Greatest number of four digits = 1000. (32)2 is more than 1000 by 24. So, the least number to be added to 1000 is 24. Therefore, the smallest four digit number which is a perfect square is 1024.

## What is the perfect square of 4?

For instance, the product of a number 2 by itself is 4. In this case, 4 is termed as a perfect square. A square of a number is denoted as: n × n, similarly, the exponential notation of the square of a number is n 2, usually pronounced as “n” squared.

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Example 1.

Integer | Perfect square |
---|---|

2 x 2 | 4 |

3 x 3 | 9 |

4 x 4 | 16 |

5 x 5 | 25 |

## Which is the greatest perfect square?

Note that the factor 16 is the largest perfect square. Recall that the numbers 1, 4, 9, 16, 25, 36, 49, … are perfect squares.

## What is the greatest 4 digit number?

the greatest four-digit number is 9999.

## How do you find the largest 4 digit prime number?

Prime factors of 9999

Therefore, 9999 is the largest 4-digit number and can be expressed as 3 × 3 × 11 × 101.

## What is the first 4 digit square number?

Informally: When you multiply an integer (a “whole” number, positive, negative or zero) times itself, the resulting product is called a square number, or a perfect square or simply “a square.” So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.

## Which is the smallest 4 digit number?

Practice Questions

- There are 4 numbers (any number from 0-9) in a 4-digit number.
- The Thousands place in a 4-digit number cannot be 0.
- The smallest 4 digit number is 1000 and the greatest 4 digit number is 9999.
- There are 9000 four digit numbers in all.

## Is 1024 a perfect square?

It can be written as a square of 32, which is a rational number. This shows that 1024 is a perfect square number. 1024 is a number that is a perfect square which means that it has a natural number as its square root. Square root of 1024 is 32.

## Is 18 a perfect square?

A: No, the number 18 is not a perfect square.

## Is 17 a perfect square?

A: No, the number 17 is not a perfect square.

## What is the perfect square formula?

When an expression has the general form a²+2ab+b², then we can factor it as (a+b)². … This method is based on the pattern (a+b)²=a²+2ab+b², which can be verified by expanding the parentheses in (a+b)(a+b).

## Is 75 a perfect square?

Is 75 a perfect square? 75 is a perfect square if the square root of 75 equals a whole number. As we have calculated further down on this page, the square root of 75 is not a whole number. 75 is not a perfect square.

## IS 500 a perfect square?

Is 500 a perfect square number? … Thus, the square root of 500 is not an integer, and therefore 500 is not a square number.

## IS 300 a perfect square?

Is 300 a perfect square? 300 is not a perfect square. 300 is a natural number, but since there is no other natural number that can be squared to result in the number 300, it is NOT a perfect square.