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Last updated on September 22, 2025

Odd Numbers 300 to 400

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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 election. We are discussing "Odd Numbers 300 to 400" in this topic.

Odd Numbers 300 to 400 for US Students
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Odd Numbers 300 to 400

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, 315, 327, and 351 are composite odd numbers.

 

The pair of odd numbers that have a difference of 2 are called consecutive odd numbers. For example, 301 and 303 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.

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Odd Numbers 300 to 400 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 300 and 400.

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List of Odd Numbers 300 to 400

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 = 150 then 2n + 1 = 2(150) + 1 = 300 + 1 = 301, 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 1, the total becomes a perfect square. For example, adding odd numbers from 1 to 9: 1 + 3 + 5 + 7 = 16, which is a perfect square.

 

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

 

Let’s take a look at a list of odd numbers from 300 to 400: 301, 303, 305, 307, 309, 311, 313, 315, 317, 319, 321, 323, 325, 327, 329, 331, 333, 335, 337, 339, 341, 343, 345, 347, 349, 351, 353, 355, 357, 359, 361, 363, 365, 367, 369, 371, 373, 375, 377, 379, 381, 383, 385, 387, 389, 391, 393, 395, 397, 399.

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Sum of Odd Numbers 300 to 400

To find the sum of odd numbers from 300 to 400, we count the odd numbers within this range.

 

There are 51 odd numbers between 300 and 400.

 

The sum of these odd numbers can be calculated directly by adding them together or using the formula for the sum of an arithmetic series.

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Subtraction of Odd Numbers 300 to 400

When you subtract one odd number from another, the result is always an even number. Odd – Odd = Even Example: 311 – 305 = 6 From the above example, 311 and 305 are odd numbers.

 

When we subtract 305 from 311, we get 6, which is an even number.

 

Odd Prime Numbers 300 to 400 

 

The positive numbers are positive numbers having exactly two factors, 1 and themselves, which 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: 307, 311, 313, 317, 331, 337, 347, 353, 359, 367, 373, 379, 383, 389, 397.

 

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.

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Odd Numbers 300 to 400 Examples

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Problem 1

Find the 20th odd number starting from 300.

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(2 * 20) + 299 = 40 + 299 = 339 The 20th odd number starting from 300 is 339.

Explanation

To find the 20th odd number starting from 300, we use the formula (2n + 299) where n is the nth number in the sequence starting from 300. By substituting n = 20 into the formula, we get the 20th odd number as 339.

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Problem 2

Calculate the sum of odd numbers from 300 to 320.

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The sum of odd numbers from 300 to 320 is 3105.

Explanation

To calculate the sum of odd numbers from 300 to 320, we add the sequence: 301 + 303 + 305 + 307 + 309 + 311 + 313 + 315 + 317 + 319 = 3105.

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Problem 3

Calculate the number of odd numbers divisible by 5 between 300 and 400.

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The number of odd numbers that are divisible by 5 between 300 and 400 is 10.

Explanation

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

 

The smallest number is 305 and the largest number is 395. This follows an arithmetic sequence, where a = 305 and common difference d = 10.

 

By substituting them into the arithmetic sequence formula, we find there are 10 such numbers.

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Problem 4

Sarah bought 77 books. She gave 35 of the books to her friend. How many books does Sarah have currently?

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77 (odd) - 35 (odd) = 42 (even). Sarah currently has 42 books.

Explanation

Subtracting 35 books from 77 books, we get the number of books that were left with Sarah, i.e. 77 - 35 = 42.

 

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

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FAQs on Odd Numbers 300 to 400

1.1. Write the last odd number in the sequence from 300 to 400.

The last odd number in the sequence from 300 to 400 is 399.

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2.2. What is the product of two odd numbers?

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

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

The difference between two consecutive odd numbers is always 2.

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4.4. Check if 345 is an odd number.

Yes, 345 is an odd number because it is not divisible by 2.

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5.5. What is the smallest odd prime number?

The smallest odd prime number is 3.

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Important Glossaries for Odd Numbers 300 to 400

  • Composite numbers: Numbers greater than 1, having more than two factors, are called composite numbers. Example: 315 is a composite number because it is divisible by 1, 3, 5, 9, 35, 45, 63, 105, and 315.

 

  • Perfect square: A number that is the product of a number multiplied by itself. Example: 361 is a perfect square number because it is obtained by multiplying 19 with 19 (19 * 19).

 

  • Odd prime numbers: Prime numbers that are not divisible by 2 are called odd prime numbers. Example: 307 is an odd prime number because it is only divisible by 1 and 307.

 

  • Consecutive odd numbers: Odd numbers that follow one another with a difference of 2. Example: 301 and 303 are consecutive odd numbers.

 

  • Arithmetic sequence: A sequence of numbers with a constant difference between consecutive terms. Example: The sequence 305, 315, 325, 335 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.

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Fun Fact

: She loves to read number jokes and games.

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