120 LearnersLast updated on May 26th, 2025
Factors of 7429
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 7429, how they are used in real life, and tips to learn them quickly.
What are the Factors of 7429?
The numbers that divide 7429 evenly are known as factors of 7429.
A factor of 7429 is a number that divides the number without remainder.
The factors of 7429 are 1, 7, 1061, and 7429.
Negative factors of 7429: -1, -7, -1061, and -7429.
Prime factors of 7429: 7 and 1061.
Prime factorization of 7429: 7 × 1061.
The sum of factors of 7429: 1 + 7 + 1061 + 7429 = 8498.
How to Find Factors of 7429?
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 pairs of numbers that are multiplied to give 7429. Identifying the numbers multiplied to get the number 7429 is the multiplication method.
Step 1: Multiply 7429 by 1, 7429 × 1 = 7429.
Step 2: Check for other numbers that give 7429 after multiplying
7 × 1061 = 7429
Therefore, the positive factor pairs of 7429 are: (1, 7429) and (7, 1061).
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 as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 7429 by 1, 7429 ÷ 1 = 7429.
Step 2: Continue dividing 7429 by the numbers until the remainder becomes 0.
7429 ÷ 1 = 7429
7429 ÷ 7 = 1061
Therefore, the factors of 7429 are: 1, 7, 1061, 7429.
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 7429 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
7429 ÷ 7 = 1061
1061 is a prime number.
The prime factors of 7429 are 7 and 1061.
The prime factorization of 7429 is: 7 × 1061.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 7429 is divided by 7 to get 1061.
Step 2: 1061 is a prime number and cannot be further divided. So, the prime factorization of 7429 is: 7 × 1061.
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 7429: (1, 7429) and (7, 1061).
Negative factor pairs of 7429: (-1, -7429) and (-7, -1061).
Common Mistakes and How to Avoid Them in Factors of 7429
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 7429, 1 and 7429 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 7429 consist of -1, -7, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 7429/1.5 = 4952.6667, and it 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 7429 are prime numbers.
For example, 7 and 1061 are the prime factors of 7429, but it has other factors like 1 and 7429.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 7429 as 7 × 1061 and missing all the key factors.
Factors of 7429 Examples
Problem 1
There are 7 friends and 7429 candies. How will they divide it equally?
They will get 1061 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of friends.
7429/7 = 1061
Problem 2
A field is rectangular, the length of the field is 7 meters and the total area is 7429 square meters. Find the width?
1061 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
7429 = 7 × width
To find the value of width, we need to shift 7 to the left side.
7429/7 = width
Width = 1061.
Problem 3
There are 1061 bags and 7429 marbles. How many marbles will be in each bag?
Each bag will have 7 marbles.
Explanation
To find the marbles in each bag, divide the total marbles by the bags.
7429/1061 = 7
Problem 4
In a class, there are 7429 students, and 1061 groups. How many students are there in each group?
There are 7 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
7429/1061 = 7
Problem 5
7429 books need to be arranged in 7 shelves. How many books will go on each shelf?
Each of the shelves has 1061 books.
Explanation
Divide total books by shelves.
7429/7 = 1061
FAQs on Factors of 7429
1.What are the factors of 7429?
2.Mention the prime factors of 7429.
3.Is 7429 a multiple of 7?
4.Mention the factor pairs of 7429?
5.What is the square of 7429?
Important Glossaries for Factors of 7429
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 7429 are 1, 7, 1061, and 7429.
- Prime factors: The factors which are prime numbers. For example, 7 and 1061 are prime factors of 7429.
- 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 7429 are (1, 7429) and (7, 1061).
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to a given number.
- Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 7429 is 7 × 1061.
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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.
