Last updated on July 6th, 2025
Positive integers are otherwise called natural numbers. These integers are always greater than zero. The numbers 1, 2, 3, 4, 5, and so on are the first few positive integers. In this article, we will learn more about positive integers.
In a number line, positive integers appear on the right side of zero. Therefore, positive integers are always greater than zero and never include zero or negative values. Integers are classified into three types: negative integers, zero, and positive integers.
A number line is a visual tool that represents the numbers placed at proper intervals. By using the number line, we can understand how the positive and negative integers are placed. For that, we need to:
Step 1: Draw a straight horizontal line and mark an arrow on the right end to indicate that the value is increasing.
Step 2: Place 0 in the middle or at the leftmost starting point. The positive integers are always placed to the right of zero, and the negative integers to the left of zero.
Step 3: Mark equally spaced points on the line to the right of zero, and start marking them 1,2,3,4, etc. These are positive integers. Make sure equal spacing on the number line.
Look at the number line below to find out the positions and values of positive integers.
Positive integers are used to carry out basic mathematical operations such as:
Addition: The sum of two positive numbers always gives a positive integer.
For example, 4 + 5 = 9.
Subtraction: Subtracting a smaller positive integer from a larger one gives a positive integer.
For example, 8 – 3 = 5. However, subtracting a larger number from a smaller one results in a negative number.
Multiplication: The product of two positive numbers always results in a positive integer.
For example, 8 × 3 = 24.
Division: When a positive integer is divided by another positive integer, the resulting quotient is also positive.
For example, 12 ÷ 4 = 3. If the division is incomplete, the result will be a fraction or a decimal.
Understanding the concept of positive integers builds a strong foundation in kids to improve their basic arithmetic skills. However, they might make errors while working with integers. Given below are some common mistakes and the ways to solve them:
Understanding the significance of positive integers allows us to deal with daily tasks such as counting, ordering, and distributing resources. Here are some real-life applications of positive integers:
If one box has 7 bananas and another box includes 5 bananas, how many bananas are there in total?
7 + 5 = 12
Here, 7 and 5 are added together to get 12 bananas in total. When two positive integers are added, it gives another positive integer.
A boy had 16 cookies. He sold six cookies from the total. How many cookies are left?
16 – 6 = 10
Here, 6 cookies are subtracted from 16, resulting in 10 cookies. Subtracting a smaller positive integer from a larger one gives a positive integer.
A school has 8 classrooms, and each classroom has 7 desks. How many desks are there in total?
8 × 7 = 56
Here, there are 8 classrooms, each having 7 desks, resulting in 56 desks in total. Multiplying two positive integers results in another positive integer.
A tutor has 24 pens and wants to distribute them equally among 6 students. How many pens will each student get?
24 ÷ 6 = 4.
Dividing a positive integer by another positive integer results in a positive integer. Here, each student gets 4 pens.
What is the smallest positive integer?
The smallest positive integer is 1.
The positive integers are always greater than 0. Hence, 1 is the smallest positive integer.
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.
: She loves to read number jokes and games.