Last updated on May 26th, 2025
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 1, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1 evenly are known as factors of 1. A factor of 1 is a number that divides the number without remainder. The only factor of 1 is 1 itself. Negative factors of 1: -1. Prime factors of 1: 1 has no prime factors because it is neither a prime nor a composite number. The sum of factors of 1: 1 = 1
Factors can be found using different methods. Mentioned below are some commonly used methods: Finding factors using multiplication Finding factors using division method
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1. Identifying the numbers which are multiplied to get the number 1 is the multiplication method. Step 1: Multiply 1 by 1, 1 × 1 = 1. Therefore, the positive factor pair of 1 is: (1, 1). For every positive factor, there is a negative factor.
Dividing the given number with whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method - Step 1: Divide 1 by 1, 1 ÷ 1 = 1. Therefore, the factor of 1 is: 1.
Since 1 is neither prime nor composite, it does not have a prime factorization.
The factor tree is a graphical representation of breaking down any number into prime factors. However, since 1 is neither prime nor composite, a factor tree is not applicable.
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There is 1 apple and 1 person. How will they divide it equally?
They will get 1 apple each.
To divide the apple equally, we need to divide the total apples with the number of persons. 1/1 = 1
A square has a side length of 1 meter. What is its area?
1 square meter.
To find the area of the square, we use the formula, Area = side × side 1 × 1 = 1
There is 1 box containing 1 item. How many items are in each box?
Each box has 1 item.
To find the items in each box, divide the total items by the number of boxes. 1/1 = 1
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factor of 1 is 1. Prime Number: A number that has exactly two distinct positive divisors: 1 and itself. Note that 1 is not a prime number. Multiple: A multiple of a number is the product of that number and an integer. For example, 1 is a multiple of 1. Division Method: A method to find factors by dividing the number by integers until the remainder is zero. Multiplication Method: A method to find factors by identifying number pairs that multiply to the given number. For example, 1 × 1 = 1.
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.