122 LearnersLast updated on May 26th, 2025
Factors of 5045
Factors are the numbers that divide any given number evenly without a 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 5045, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 5045?
The numbers that divide 5045 evenly are known as factors of 5045.
A factor of 5045 is a number that divides the number without a remainder.
The factors of 5045 are 1, 5, 1009, and 5045.
Negative factors of 5045: -1, -5, -1009, and -5045.
Prime factors of 5045: 5 and 1009.
Prime factorization of 5045: 5 × 1009.
The sum of factors of 5045: 1 + 5 + 1009 + 5045 = 6060
How to Find Factors of 5045?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 5045. Identifying the numbers which are multiplied to get the number 5045 is the multiplication method.
Step 1: Multiply 5045 by 1, 5045 × 1 = 5045.
Step 2: Check for other numbers that give 5045 after multiplying 5 × 1009 = 5045
Therefore, the positive factor pairs of 5045 are: (1, 5045), and (5, 1009).
All these factor pairs result in 5045.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number with whole numbers until the remainder becomes zero and listing out the numbers that result in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 5045 by 1, 5045 ÷ 1 = 5045.
Step 2: Continue dividing 5045 by numbers until the remainder becomes 0.
5045 ÷ 1 = 5045
5045 ÷ 5 = 1009
Therefore, the factors of 5045 are: 1, 5, 1009, and 5045.
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 5045 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
5045 ÷ 5 = 1009
1009 is a prime number, so the division stops here.
The prime factors of 5045 are 5 and 1009.
The prime factorization of 5045 is: 5 × 1009.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 5045 is divided by 5 to get 1009.
Step 2: 1009 is a prime number, which cannot be divided further. So, the prime factorization of 5045 is: 5 × 1009.
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 5045: (1, 5045), and (5, 1009).
Negative factor pairs of 5045: (-1, -5045), and (-5, -1009).
Common Mistakes and How to Avoid Them in Factors of 5045
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 word. Always remember to include 1 and the number itself.
For example, in factors of 5045, 1 and 5045 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 5045 consist of -1, -5, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 2.5 as a factor, because 5045/2.5 = 2018, 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 5045 are prime numbers.
For example, 5 and 1009 are the prime factors of 5045, but it has other factors like 1 and 5045.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 5045 as 5 × 1009 and missing all the key factors.
Factors of 5045 Examples
Problem 1
There are 5 friends and 5045 marbles. How will they divide it equally?
They will get 1009 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles with the number of friends.
5045/5 = 1009
Problem 2
A banner is rectangular, the length of the banner is 5 meters and the total area is 5045 square meters. Find the width?
1009 meters.
Explanation
To find the width of the banner, we use the formula,
Area = length × width
5045 = 5 × width
To find the value of width, we need to shift 5 to the left side.
5045/5 = width
Width = 1009.
Problem 3
There are 1,009 bags and 5045 candies. How many candies will be in each bag?
Each bag will have 5 candies.
Explanation
To find the candies in each bag, divide the total candies with the bags.
5045/1009 = 5
Problem 4
In a school, there are 5045 students, and 5 houses. How many students are there in each house?
There are 1009 students in each house.
Explanation
Dividing the students with the total houses, we will get the number of students in each house.
5045/5 = 1009
Problem 5
5045 books need to be arranged in 5 shelves. How many books will go on each shelf?
Each of the shelves has 1009 books.
Explanation
Divide total books with shelves.
5045/5 = 1009
FAQs on Factors of 5045
1.What are the factors of 5045?
2.Mention the prime factors of 5045.
3.Is 5045 a multiple of 5?
4.Mention the factor pairs of 5045?
5.What is the square of 5045?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 5045?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 5045 with numbers?
8.What role do numbers and Factors of 5045 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 5045 skills?
Important Glossaries for Factor of 5045
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 5045 are 1, 5, 1009, and 5045.
- Prime factors: The factors which are prime numbers. For example, 5 and 1009 are prime factors of 5045.
- 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 5045 are (1, 5045) and (5, 1009).
- Prime factorization: The expression of a number as the product of prime factors. For example, the prime factorization of 5045 is 5 × 1009.
- Negative factors: Negative numbers that divide a given number without leaving a remainder. For example, the negative factors of 5045 are -1, -5, -1009, and -5045.
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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.
