Odd Numbers 1000 to 2000
2026-02-28 01:35 Diff
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Last updated on August 5, 2025

The numbers that cannot be divided equally into two parts are the odd numbers. Mostly, odd numbers of people are used in breaking ties for elections. We are discussing “Odd Numbers 1000 to 2000” in this topic.

Odd Numbers 1000 to 2000

Odd numbers can be classified into two types – composite odd numbers and consecutive odd numbers.

The numbers that have factors more than two and greater than 1 are called composite numbers.

When a composite number is not divisible by 2, it is called a composite odd number. For example, 105, 165, and 189 are composite odd numbers.

The pair of odd numbers that have a difference of 2 are called consecutive odd numbers. For example, 1003 and 1005 are consecutive odd numbers.

Odd numbers follow these properties. Odd numbers always end with 1, 3, 5, 7, or 9. When you add two odd numbers, the result is always an even number.

Multiplying two odd numbers always gives another odd number. The square of any odd number is always an odd number.

Odd Numbers 1000 to 2000 Chart

The pictorial representation helps children learn odd numbers easily.

By using this chart, children can know the sequence and series of numbers.

Let’s take a look at the odd number chart, ranging between 1000 and 2000.

List of Odd Numbers 1000 to 2000

Odd numbers are not divisible by the number 2. To find odd numbers, we can use the formula: (2n + 1) where n is an integer. For example, if n = 500 then 2n + 1 = 2(500) + 1 = 1000 + 1 = 1001, which is an odd number.

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Fun facts about odd numbers

1. Squaring an odd number, meaning multiplying an odd number by itself, always gives an odd number. For example, the square of 11 is 11 × 11 = 121, which is an odd number.

2. When you add odd numbers starting from 1001, the total becomes a perfect square. For example, adding odd numbers from 1001 to 1009: 1001 + 1003 + 1005 + 1007 + 1009 = 5025, which is not a perfect square, but the sum of consecutive odd numbers starting from 1 is a perfect square.

3. Prime numbers are the numbers that have only two factors, 1 and the number itself.

Let’s take a look at a list of odd numbers from 1000 to 2000 1001, 1003, 1005, 1007, 1009, 1011, 1013, 1015, 1017, .............., 1991, 1993, 1995, 1997, 1999.

Sum of Odd Numbers 1000 to 2000

For the sum of odd numbers, a simple formula is used - Sum of odd numbers = n2 Here, n = 500 because there are 500 odd numbers from 1000 to 2000. Substitute n = 500 into the formula, we get The sum of odd numbers from 1000 to 2000 = (500)2 = 250000

Subtraction of Odd Numbers 1000 to 2000

When you subtract one odd number from another, the result is always an even number.

Odd – Odd = Even Example: 1011 – 1003 = 8 From the above example, 1011 and 1003 are odd numbers.

When we subtract 1003 from 1011 we get 8, which is an even number. 

Odd Prime Numbers 1000 to 2000 plain_body7 The positive numbers having exactly two factors, 1 and themselves, are called prime numbers.

The prime numbers which are not divisible by 2 are called odd prime numbers. All prime numbers other than 2 are odd numbers. Example for odd prime numbers: 1009, 1013, 1019, 1021, 1031,.........

A few points to remember for odd numbers are as follows - The smallest odd prime number is 3.

Excluding 2, all prime numbers are odd. The smallest positive odd number is 1 250000 is the total of all odd numbers from 1000 to 2000.

Problem 1

Find the 100th odd number starting from 1000.

Okay, lets begin

(2 × 100) + 999 = 200 + 999 = 1199 The 100th odd number starting from 1000 is 1199.

Explanation

To find the 100th odd number starting from 1000, we are using the formula 2n + 999 where n is the nth number.

By substituting n = 100 into the formula, we get the 100th odd number as 1199.

Well explained 👍

Problem 2

Calculate the sum of odd numbers from 1000 to 1100.

Okay, lets begin

The sum of odd numbers from 1000 to 1100 is 3025.

Explanation

To calculate the sum of odd numbers from 1000 to 1100, we use the formula n2. Here, n = 51 because there are 51 odd numbers from 1000 to 1100, by substituting n = 51 into the formula, we get 512 = 2601.

After simplification, we get the sum of odd numbers from 1000 to 1100 is 2601.

Well explained 👍

Problem 3

Calculate the number of odd numbers divisible by 5 between 1000 and 2000.

Okay, lets begin

The number of odd numbers that are divisible by 5 between 1000 and 2000 is 100.

Explanation

We can write an odd number divisible by 5 as 5k, where k is any integer.

The smallest number is 1005 and the largest number is 1995. This follows an arithmetic sequence, where a = 1005 and common difference d = 10.

By substituting them into the arithmetic sequence formula, we get n = 100.

Well explained 👍

Problem 4

Emma bought 167 apples. She gave 95 of the apples to her neighbor. How many apples does Emma have currently?

Okay, lets begin

167 (odd) - 95 (odd) = 72 (even). Emma currently has 72 apples.

Explanation

Subtracting 95 apples from 167 apples, we get the number of apples that were left with Emma, i.e. 167 - 95 = 72.

This obeys the subtraction property of odd numbers, which states that the difference between two odd numbers is always an even number.

Well explained 👍

FAQs on Odd Numbers 1000 to 2000

1.1. Write the last odd number in the sequence from 1000 to 2000.

The last odd number in the sequence from 1000 to 2000 is 1999.

2.2. What is the product of two odd numbers?

The multiplication of two odd numbers always results in an odd number.

3.3. What is the difference between two consecutive odd numbers?

The difference between two consecutive odd numbers is always 2.

4.4. Check if 1545 is an odd number.

Yes, 1545 is an odd number because it is not divisible by 2.

5.5. What is the smallest odd prime number?

The smallest odd prime number is 3.

Important Glossaries for Odd Numbers 1000 to 2000

  • Composite numbers: The numbers greater than 1, having more than two factors, are called composite numbers. Example: 105 is a composite number because it is divisible by 1, 3, 5, 7, 15, 21, 35, and 105.
  • Perfect square: It is a number that is the product of a number multiplied by itself. Example: 121 is a perfect square number because it is obtained by multiplying 11 with 11 (11 × 11).
  • Odd prime numbers: The prime numbers that are not divisible by 2 are called odd prime numbers. Example: 1013 is an odd prime number because 1013 is a prime number, and it is not divisible by 2.
  • Consecutive odd numbers: A pair of odd numbers that differ by 2. Example: 1001 and 1003 are consecutive odd numbers.
  • Arithmetic sequence: A sequence of numbers such that the difference between the consecutive terms is constant. Example: 1005, 1015, 1025, ..., 1995 is an arithmetic sequence with a common difference of 10.

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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

Fun Fact

: She loves to read number jokes and games.