Number 1000 – Facts About the Integer

Let us understand the number 1000 with a simple story:

One day, Navya was counting the numbers from 1 to 9 and wrote each number on a container. While doing this, she found drops of water on one end of the container. When she rotated the container, she found a new digit ‘0’ that looked very strange from the digits 1 to 9 and it was crying because no one was looking for such a cute and new digit. Now, to make ‘0’ happy, she placed it after 1 and formed a new number ‘10’. Now, in place of nine digits, she got 10 numbers.

Now, next, she placed another ‘0’ at the end of ‘10’. She obtained ‘100’, then again she placed ‘0’ (zero) after 100, she got a new number ‘1000’. So, what does this 1000 mean here? Also, what are the facts about the number 1000?

We will look into the place value of each of the digits of 1000 followed by the facts about the integer 1000.

Facts About the Integer 1000

1. Names of 1000

Cardinal name of 1000 is One Thousand.

2. What Is the Place Value of Digits in the Number 1000?

We know that the place value of any number starts from the right-to-left, where the rightmost side is the one’s or the unit’s place, then moving towards left, we have ten’s place, then thousand’s, then ten thousand’s, and so on depending upon the number of digits in a number. Now, let us find the place value of 1000 and label the place of each digit as a, b, c, and d, respectively.

1 - a

0 - b

0 - c

0 - d

• The digit at ‘d’ place is one’s place.

• The digit at ‘c’ place is tens’ place.

• The digit at ‘b’ place is hundredths’ place.

• The digit at ‘a’ place is thousand’s place.

3. Scientific Notation

Whenever any number is followed by a certain number of zeros, we count those number of zeroes and mark that as ‘x’ number of zeros to the power of 10, i.e., 10x.

For example, 1000 has three zeroes, so simply, we can write it as 103 or 1 x 103.

However, in a case, a number is 2000, we write 2 x 1000, i.e., 2 x 103.

Two thousand

4. Factors of 1000

The factor of a number is a product of all possible prime numbers that form a given number. For example, 1000 = 10 10 10, so 10 = 2 x 5

This means that 1000 = 2 5 2 5 2 5

Here, 1000 has a total of six prime numbers, i.e., three 2’s and three 5’s. However, it has two distinct prime factors as 2 and 5.

Now, the sum of these two prime factors = 2 + 5 = 7.

5. Divisors of 1000

Now, when we divide 1000 by even numbers starting from 2 till 1000, we have 16 divisors possible. Now, let us see what is the complete list of divisors of 1000.

• 1

• 2,

• 4,

• 5,

• 8,

• 10,

• 20,

• 25,

• 40,

• 50,

• 100,

• 125,

• 200,

• 250,

• 500, and

• 1000

Pick out any of the numbers from the list and verify by dividing that number by 1000, you will find that the remainder is zero.

Now, the sum of all these divisors is pretty easy when the calculation is handy for you.

So, here 1 + 2 + 4 + 5 + 8 + 10 + 20 + 25 + 40 + 50 + 100 + 125 + 200 + 500 + 1000 = 2340.

Hence, the sum for the complete list of divisors of 1000 is 2340.

6. Number System: Bases of 1000

In a number system, we understand three types of bases, such as binary, decimal, and hexadecimal. Now, let us take an example to understand these bases.

Example: Bases of 1000

• Binary: 111110100022

• Hexadecimal: 0x3E8

• Base-36: RS

So, these were some important facts about 1000. Going through these will help you understand how many ways we can represent 1000 and other integers in a similar manner.