Last updated on May 26th, 2025
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.
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
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 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.
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.
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 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.
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).
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 5 friends and 5045 marbles. How will they divide it equally?
They will get 1009 marbles each.
To divide the marbles equally, we need to divide the total marbles with the number of friends.
5045/5 = 1009
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.
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.
There are 1,009 bags and 5045 candies. How many candies will be in each bag?
Each bag will have 5 candies.
To find the candies in each bag, divide the total candies with the bags.
5045/1009 = 5
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.
Dividing the students with the total houses, we will get the number of students in each house.
5045/5 = 1009
5045 books need to be arranged in 5 shelves. How many books will go on each shelf?
Each of the shelves has 1009 books.
Divide total books with shelves.
5045/5 = 1009
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.