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 4321, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 4321 evenly are known as factors of 4321.
A factor of 4321 is a number that divides the number without remainder.
The factors of 4321 are 1, 29, 149, and 4321.
Negative factors of 4321: -1, -29, -149, and -4321.
Prime factors of 4321: 29 and 149.
Prime factorization of 4321: 29 × 149.
The sum of factors of 4321: 1 + 29 + 149 + 4321 = 4500
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 4321. Identifying the numbers which are multiplied to get the number 4321 is the multiplication method.
Step 1: Multiply 4321 by 1, 4321 × 1 = 4321.
Step 2: Check for other numbers that give 4321 after multiplying
29 × 149 = 4321
Therefore, the positive factor pairs of 4321 are: (1, 4321), (29, 149). 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 in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 4321 by 1, 4321 ÷ 1 = 4321.
Step 2: Continue dividing 4321 by the numbers until the remainder becomes 0.
4321 ÷ 1 = 4321
4321 ÷ 29 = 149
4321 ÷ 149 = 29
Therefore, the factors of 4321 are: 1, 29, 149, 4321.
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 4321 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
4321 ÷ 29 = 149
149 ÷ 149 = 1
The prime factors of 4321 are 29 and 149.
The prime factorization of 4321 is: 29 × 149.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 4321 is divided by 29 to get 149.
Step 2: Now divide 149 by 149 to get 1. Here, 149 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 4321 is: 29 × 149.
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 4321: (1, 4321), (29, 149).
Negative factor pairs of 4321: (-1, -4321), (-29, -149).
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 club has 29 members and 4321 candies. How will they distribute them equally?
They will get 149 candies each.
To distribute the candies equally, we need to divide the total candies by the number of members.
4321 ÷ 29 = 149
A rectangular garden has a length of 29 meters and a total area of 4321 square meters. Find the width?
The width is 149 meters.
To find the width of the garden, we use the formula, Area = length × width
4321 = 29 × width
To find the value of width, we shift 29 to the left side.
4321 ÷ 29 = width
Width = 149.
There are 149 bags and 4321 marbles. How many marbles will be in each bag?
Each bag will have 29 marbles.
To find the marbles in each bag, divide the total marbles by the bags.
4321 ÷ 149 = 29
A classroom has 4321 books, and the teacher wants to divide them into 29 groups. How many books are there in each group?
There are 149 books in each group.
Dividing the books by the total groups, we will get the number of books in each group.
4321 ÷ 29 = 149
4321 blocks need to be arranged in 149 stacks. How many blocks will go in each stack?
Each stack will have 29 blocks.
Divide total blocks by stacks.
4321 ÷ 149 = 29
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.