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The smallest 4 digit number in maths is 1000. It is the first number that has four digits, which makes it the lowest number in the four-digit series.
What is the lowest 4 digit number that is divisible by 2?
The lowest 4 digit number that is divisible by 2 is 1000. Since 1000 is an even number, it can be divided by 2 without leaving any remainder.
What is the greatest 4 digit number?
The greatest 4 digit number is 9999. This is the largest number that has four digits. So, the greatest and smallest 4 digit numbers are 9999 and 1000.
Prove that 1000 is the smallest 4 digit number?
The smallest 4-digit number is 1000 because before it comes 999, which has only 3 digits, and after it comes 1001, which is a 4-digit number but not the smallest. Hence, 1000 is proved to be the smallest four digit number.
What is the smallest 4 digit number which is a perfect square?
The smallest 4 digit number which is a perfect square is 1024. This is because the square of 32 is 1024, and it is the first perfect square that comes in the four digit series.
Smallest 4 Digit Number, Definition and Examples
Smallest 4 digit number is 1000. Learn its definition, how to prove it, and examples of even and odd 4 digit numbers. Explore the greatest four digit number along with the smallest 4 digit number, which is a perfect square.
Amit Lingwal5 Sept, 2025
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Smallest 4 digit number is 1000: This is the first number that has four digits and is the lowest 4 digit number we can write. To write numbers in maths, we use digits like 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Digits are the symbols we use in maths to address numerals. For example, in the number 35, 3 and 5 are the digits.
Digits are not only important in mathematics but also in everyday life. Knowing the smallest 4 digit number helps us understand numbers better and solve math problems accurately. To learn more, keep reading about the lowest 4 digit number.
The smallest 4 digit number is the first whole number with four digits. In this smallest four digit number, the digit in the thousands place is 1, which is the smallest number that is not zero, and the other three digits in the hundreds, tens, and ones places are all 0.
This lowest 4 digit number comes right after 999, which is the largest 3 digit number in maths. That's why from 1000 all the 4 digit numbers start. Let's now understand how to find the smallest 4 digit number.
How to Find Smallest 4 Digit Number?
In order to find the smallest 4 digit number, it is important to first understand the value of each digit in a number, called its place value. As we learned, a 4-digit number has four places: thousands, hundreds, tens, and ones. Each place has its own value, and the value of the number depends on the digits in these places.
The thousands place cannot be 0 because then the number would not have four digits. So, the smallest number we can put here is 1.
The other three places, which are hundreds, tens, and ones, should have the smallest digit possible, which is 0. This makes the number as small as it can be.
So, if we put all four digits together in their places, we get:
Thousands = 1
Hundreds = 0
Tens = 0
Ones = 0
So, when we write them together, the number becomes 1000, which is the smallest four digit number.
Lowest 4 Digit Number That is Even
The lowest 4 digit number that is even is 1000.
Proof: As we know that even numbers are divisible by 2. If we check 1000, it can be divided by 2 without any remainder, so it is even.
The number just before it, 999, is a three-digit number and is odd. The next number, 1001, is a four-digit number, but it is not the smallest. So, 1000 is the lowest four digit number that is even.
Smallest Four Digit Number That is Odd
The smallest four digit number that is odd is 1001.
Proof: As we learned, the smallest 4 digit number is 1000, and it is even. So, to find the smallest four digit odd number, we need to look for a number after 1000, and it should be odd.
So, if we add 1 to 1000, we get 1001. This number has four digits, and it is odd because it cannot be divided evenly by 2. Hence, 1001 is the first odd number after 1000, which makes it the smallest 4 digit odd number.
A perfect square is a number that we get by multiplying a whole number by itself. For example,
5×5=25, so 25 is a perfect square.
12×12=144, so 144 is also a perfect square.
So to find the smallest 4 digit number which is a perfect square, we need to follow these steps:
The smallest 4 digit number is 1000. But is 1000 a perfect square?
To check this, we find the square root of 1000. The square root of 1000 is about 31.62, which is not a whole number. And the perfect square root of 31 is 961, which is a three-digit number.
So, we take the next whole number after 31.62, which is 32.
Now, to find its perfect square, multiply 32 by itself like this: 32×32=1024
Therefore, the answer we got is 1024, the smallest 4 digit number which is a perfect square.
Greatest and Smallest 4 Digit Number
What are the greatest and smallest 4 digit numbers? It is a common question asked in exams. In the number system, the smallest 4 digit number is 1000 and the greatest 4 digit number is 9999. These two numbers mark the starting and the ending of the four-digit number series.
So, all four-digit numbers come between 1000 and 9999. Knowing the greatest and smallest 4 digit numbers helps us in exams and solving maths questions.
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