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 1421, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1421 evenly are known as factors of 1421.
A factor of 1421 is a number that divides the number without remainder.
The factors of 1421 are 1, 13, 109, and 1421.
Negative factors of 1421: -1, -13, -109, and -1421.
Prime factors of 1421: 13 and 109.
Prime factorization of 1421: 13 × 109.
The sum of factors of 1421: 1 + 13 + 109 + 1421 = 1544
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 1421. Identifying the numbers that are multiplied to get the number 1421 is the multiplication method.
Step 1: Multiply 1421 by 1, 1421 × 1 = 1421.
Step 2: Check for other numbers that give 1421 after multiplying 13 × 109 = 1421
Therefore, the positive factor pairs of 1421 are: (1, 1421), (13, 109).
All these factor pairs result in 1421.
For every positive factor, there is a negative factor.
Dividing the given numbers with the 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 1421 by 1, 1421 ÷ 1 = 1421.
Step 2: Continue dividing 1421 by the numbers until the remainder becomes 0.
1421 ÷ 1 = 1421
1421 ÷ 13 = 109
1421 ÷ 109 = 13
1421 ÷ 1421 = 1
Therefore, the factors of 1421 are: 1, 13, 109, 1421.
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 1421 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1421 ÷ 13 = 109
109 ÷ 109 = 1
The prime factors of 1421 are 13 and 109.
The prime factorization of 1421 is: 13 × 109.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1421 is divided by 13 to get 109.
Step 2: Now divide 109 by 109 to get 1. Here, 109 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 1421 is: 13 × 109.
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 1421: (1, 1421), (13, 109).
Negative factor pairs of 1421: (-1, -1421), (-13, -109).
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 are 13 friends and 1421 candies. How will they divide it equally?
They will get 109 candies each.
To divide the candies equally, we need to divide the total candies by the number of friends.
1421/13 = 109
A field is rectangular, the length of the field is 13 meters, and the total area is 1421 square meters. Find the width?
109 meters.
To find the width of the field, we use the formula,
Area = length × width
1421 = 13 × width
To find the value of width, we need to shift 13 to the left side.
1421/13 = width
Width = 109.
There are 109 students, and 1421 books. How many books will each student get?
Each student will get 13 books.
To find the books for each student, divide the total books by the students.
1421/109 = 13
In a class, there are 1421 students, and 13 groups. How many students are in each group?
There are 109 students in each group.
Dividing the students by the total groups, we will get the number of students in each group.
1421/13 = 109
1421 apples need to be arranged in 13 baskets. How many apples will go in each basket?
Each basket will have 109 apples.
Divide total apples by baskets.
1421/13 = 109
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.