Last updated on May 26th, 2025
Factors are the numbers that divide any given number evenly without a 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 1333, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 1333 evenly are known as factors of 1333.
A factor of 1333 is a number that divides the number without a remainder.
The factors of 1333 are 1, 7, 191, and 1333.
Negative factors of 1333: -1, -7, -191, and -1333.
Prime factors of 1333: 7 and 191.
Prime factorization of 1333: 7 × 191.
The sum of factors of 1333: 1 + 7 + 191 + 1333 = 1532
Factors can be found using different methods. Mentioned below are some commonly used methods:
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1333. Identifying the numbers which are multiplied to get the number 1333 is the multiplication method.
Step 1: Multiply 1333 by 1, 1333 × 1 = 1333.
Step 2: Check for other numbers that give 1333 after multiplying. 7 × 191 = 1333 Therefore, the positive factor pairs of 1333 are: (1, 1333) and (7, 191).
All these factor pairs result in 1333.
For every positive factor, there is a negative factor.
Dividing the given numbers 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 1333 by 1, 1333 ÷ 1 = 1333.
Step 2: Continue dividing 1333 by the numbers until the remainder becomes 0.
1333 ÷ 1 = 1333
1333 ÷ 7 = 191
1333 ÷ 191 = 7
1333 ÷ 1333 = 1
Therefore, the factors of 1333 are: 1, 7, 191, and 1333.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1333 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1333 ÷ 7 = 191
191 ÷ 191 = 1
The prime factors of 1333 are 7 and 191.
The prime factorization of 1333 is: 7 × 191.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1333 is divided by 7 to get 191.
Step 2: Now divide 191 by 191 to reach 1. So, the prime factorization of 1333 is: 7 × 191.
Factor Pairs Two numbers that are multiplied to give a specific number are called factor pairs.
Both positive and negative factors constitute factor pairs.
Positive factor pairs of 1333: (1, 1333) and (7, 191).
Negative factor pairs of 1333: (-1, -1333) and (-7, -191).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
A group of 7 friends has 1333 candies. How many candies will each friend get if they are equally divided?
They will get 191 candies each.
To divide the candies equally, we need to divide the total candies with the number of friends.
1333/7 = 191
A rectangular plot has a length of 7 meters and a total area of 1333 square meters. Find the width of the plot.
191 meters.
To find the width of the plot, we use the formula,
Area = length × width
1333 = 7 × width
To find the value of width, divide 1333 by 7.
1333/7 = width
Width = 191.
There are 1333 apples that need to be packed in boxes of 191 apples each. How many boxes are required?
7 boxes.
To find the number of boxes required, divide the total apples by the number of apples per box.
1333/191 = 7
A company has 1333 employees and plans to create teams of 7. How many teams can be formed?
191 teams.
Dividing the employees with the total team size, we will get the number of teams.
1333/7 = 191
A bakery has 1333 cupcakes and wants to place them in trays with 1333 cupcakes each. How many trays are needed?
1 tray.
Divide total cupcakes with cupcakes per tray.
1333/1333 = 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.