100 LearnersLast updated on May 26th, 2025
Factors of 1402
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 1402, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1402?
The numbers that divide 1402 evenly are known as factors of 1402.
A factor of 1402 is a number that divides the number without a remainder.
The factors of 1402 are 1, 2, 701, and 1402.
Negative factors of 1402: -1, -2, -701, and -1402.
Prime factors of 1402: 2 and 701.
Prime factorization of 1402: 2 × 701.
The sum of factors of 1402: 1 + 2 + 701 + 1402 = 2106
How to Find Factors of 1402?
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 1402. Identifying the numbers which are multiplied to get the number 1402 is the multiplication method.
Step 1: Multiply 1402 by 1, 1402 × 1 = 1402.
Step 2: Check for other numbers that give 1402 after multiplying
2 × 701 = 1402
Therefore, the positive factor pairs of 1402 are: (1, 1402) and (2, 701).
All these factor pairs result in 1402.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1402 by 1, 1402 ÷ 1 = 1402.
Step 2: Continue dividing 1402 by the numbers until the remainder becomes 0.
1402 ÷ 1 = 1402
1402 ÷ 2 = 701
Therefore, the factors of 1402 are: 1, 2, 701, 1402.
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 1402 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1402 ÷ 2 = 701
701 ÷ 701 = 1
The prime factors of 1402 are 2 and 701.
The prime factorization of 1402 is: 2 × 701.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1402 is divided by 2 to get 701.
Step 2: 701 is a prime number and cannot be divided further.
So, the prime factorization of 1402 is: 2 × 701.
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 1402: (1, 1402) and (2, 701).
Negative factor pairs of 1402: (-1, -1402) and (-2, -701).
Common Mistakes and How to Avoid Them in Factors of 1402
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
People 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 1402, 1 and 1402 are also factors.
Factors of 1402 Examples
Problem 1
There are 14 students and 1402 stickers. How will they divide it equally?
They will get 100 stickers each, with 2 remaining.
Explanation
To divide the stickers equally, we divide the total stickers by the number of students.
1402/14 = 100 R2
Problem 2
A garden is rectangular, the length of the garden is 2 meters and the total area is 1402 square meters. Find the width?
701 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1402 = 2 × width
To find the value of width, we divide the area by the length.
1402/2 = width
Width = 701.
Problem 3
There are 7 boxes and 1402 marbles. How many marbles will be in each box?
Each box will have 200 marbles, with 2 remaining.
Explanation
To find the marbles in each box, divide the total marbles by the boxes.
1402/7 = 200 R2
Problem 4
A class has 1402 students, and they need to form 2 groups. How many students are there in each group?
There are 701 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1402/2 = 701
Problem 5
1402 books need to be arranged in 701 shelves. How many books will go on each shelf?
Each of the shelves has 2 books.
Explanation
Divide the total books by the shelves.
1402/701 = 2
FAQs on Factors of 1402
1.What are the factors of 1402?
2.Mention the prime factors of 1402.
3.Is 1402 a multiple of 2?
4.Mention the factor pairs of 1402?
5.What is the square of 1402?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1402?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1402 with numbers?
8.What role do numbers and Factors of 1402 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 1402 skills?
Important Glossaries for Factors of 1402
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1402 are 1, 2, 701, and 1402.
- Prime factors: The factors which are prime numbers. For example, 2 and 701 are prime factors of 1402.
- 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 1402 are (1, 1402) and (2, 701).
- Prime factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 1402 is 2 × 701.
- Divisibility: A number is divisible by another if the division results in a whole number without a remainder. For example, 1402 is divisible by 2.
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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.
