122 LearnersLast updated on May 26th, 2025
Factors of 1333
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.
What are the Factors of 1333?
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
How to Find Factors of 1333?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the division method
- Prime factors and prime factorization
Finding Factors Using Multiplication
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.
Finding Factors Using Division Method
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.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 1333
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1333, 1 and 1333 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1333 consist of -1, -7, -191, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 2.5 as a factor because 1333/2.5 = 533.2, which is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 1333 are prime numbers.
For example, 7 and 191 are the prime factors of 1333, but it has other factors like 1 and 1333.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1333 as 7 × 191 and missing all the key factors.
Factors of 1333 Examples
Problem 1
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.
Explanation
To divide the candies equally, we need to divide the total candies with the number of friends.
1333/7 = 191
Problem 2
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.
Explanation
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.
Problem 3
There are 1333 apples that need to be packed in boxes of 191 apples each. How many boxes are required?
7 boxes.
Explanation
To find the number of boxes required, divide the total apples by the number of apples per box.
1333/191 = 7
Problem 4
A company has 1333 employees and plans to create teams of 7. How many teams can be formed?
191 teams.
Explanation
Dividing the employees with the total team size, we will get the number of teams.
1333/7 = 191
Problem 5
A bakery has 1333 cupcakes and wants to place them in trays with 1333 cupcakes each. How many trays are needed?
1 tray.
Explanation
Divide total cupcakes with cupcakes per tray.
1333/1333 = 1
FAQs on Factors of 1333
1.What are the factors of 1333?
2.Mention the prime factors of 1333.
3.Is 1333 a multiple of 7?
4.Mention the factor pairs of 1333?
5.What is the square of 1333?
Important Glossaries for Factor of 1333
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1333 are 1, 7, 191, and 1333.
- Prime factors: The factors which are prime numbers. For example, 7 and 191 are prime factors of 1333.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 1333 are (1, 1333) and (7, 191).
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 1333 is 7 × 191.
- Multiples: Numbers that can be divided by another number without a remainder. For example, 1333 is a multiple of 7.
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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.
Fun Fact
: She loves to read number jokes and games.
