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.

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.

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.

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.

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

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.

• 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.