101 LearnersLast updated on May 26th, 2025
Factors of 1401
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 1401, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1401?
The numbers that divide 1401 evenly are known as factors of 1401.
A factor of 1401 is a number that divides the number without remainder.
The factors of 1401 are 1, 3, 467, and 1401.
Negative factors of 1401: -1, -3, -467, and -1401.
Prime factors of 1401: 3 and 467.
Prime factorization of 1401: 3 × 467.
The sum of factors of 1401: 1 + 3 + 467 + 1401 = 1872
How to Find Factors of 1401?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using 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 1401. Identifying the numbers which are multiplied to get the number 1401 is the multiplication method.
Step 1: Multiply 1401 by 1, 1401 × 1 = 1401.
Step 2: Check for other numbers that give 1401 after multiplying: 3 × 467 = 1401
Therefore, the positive factor pairs of 1401 are: (1, 1401) and (3, 467).
All these factor pairs result in 1401.
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 1401 by 1, 1401 ÷ 1 = 1401.
Step 2: Continue dividing 1401 by the numbers until the remainder becomes 0.
1401 ÷ 1 = 1401
1401 ÷ 3 = 467
Therefore, the factors of 1401 are: 1, 3, 467, and 1401.
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 1401 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1401 ÷ 3 = 467
467 ÷ 467 = 1
The prime factors of 1401 are 3 and 467.
The prime factorization of 1401 is: 3 × 467.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1401 is divided by 3 to get 467.
Step 2: Now divide 467 by 467 to get 1.
So, the prime factorization of 1401 is: 3 × 467.
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 1401: (1, 1401) and (3, 467).
Negative factor pairs of 1401: (-1, -1401) and (-3, -467).
Common Mistakes and How to Avoid Them in Factors of 1401
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 1401, 1 and 1401 are also factors.
Factors of 1401 Examples
Problem 1
There are 3 teams and 1401 points. How will the points be divided equally among them?
Each team will get 467 points.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
1401/3 = 467
Problem 2
A rectangular garden has a length of 3 meters and a total area of 1401 square meters. Find its width.
467 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1401 = 3 × width
To find the value of width, we need to shift 3 to the left side.
1401/3 = width
Width = 467.
Problem 3
There are 1401 apples and 467 baskets. How many apples will be in each basket?
Each basket will have 3 apples.
Explanation
To find the apples in each basket, divide the total apples by the baskets.
1401/467 = 3
Problem 4
In a class, there are 1401 notes and 3 boxes. How many notes are there in each box?
There are 467 notes in each box.
Explanation
Dividing the notes by the total boxes, we will get the number of notes in each box.
1401/3 = 467
Problem 5
1401 files need to be arranged in 3 cabinets. How many files will go in each cabinet?
Each of the cabinets will have 467 files.
Explanation
Divide total files by cabinets.
1401/3 = 467
FAQs on Factors of 1401
1.What are the factors of 1401?
2.Mention the prime factors of 1401.
3.Is 1401 a multiple of 3?
4.Mention the factor pairs of 1401.
5.What is the square of 1401?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1401?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1401 with numbers?
8.What role do numbers and Factors of 1401 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 1401 skills?
Important Glossaries for Factor of 1401
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1401 are 1, 3, 467, and 1401.
- Prime factors: The factors which are prime numbers. For example, 3 and 467 are prime factors of 1401.
- 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 1401 are (1, 1401) and (3, 467).
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 1401 is 3 × 467.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 1401 is a multiple of 3.
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About BrightChamps in United Arab Emirates
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.
