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 3025, how they are used in real life, and tips to learn them quickly.
The numbers that divide 3025 evenly are known as factors of 3025.
A factor of 3025 is a number that divides the number without remainder.
The factors of 3025 are 1, 5, 25, 121, 605, and 3025.
Negative factors of 3025: -1, -5, -25, -121, -605, and -3025.
Prime factors of 3025: 5 and 11.
Prime factorization of 3025: 5² × 11².
The sum of factors of 3025: 1 + 5 + 25 + 121 + 605 + 3025 = 3782
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 3025. Identifying the numbers which are multiplied to get the number 3025 is the multiplication method.
Step 1: Multiply 3025 by 1, 3025 × 1 = 3025.
Step 2: Check for other numbers that give 3025 after multiplying
5 × 605 = 3025
25 × 121 = 3025
Therefore, the positive factor pairs of 3025 are: (1, 3025), (5, 605), (25, 121). All these factor pairs result in 3025. For every positive factor, there is a negative factor.
Dividing the given numbers with 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 3025 by 1, 3025 ÷ 1 = 3025.
Step 2: Continue dividing 3025 by the numbers until the remainder becomes 0.
3025 ÷ 1 = 3025
3025 ÷ 5 = 605
3025 ÷ 25 = 121
Therefore, the factors of 3025 are: 1, 5, 25, 121, 605, 3025.
The factors can be found by dividing it with a prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 3025 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
3025 ÷ 5 = 605
605 ÷ 5 = 121
121 ÷ 11 = 11
11 ÷ 11 = 1
The prime factors of 3025 are 5 and 11.
The prime factorization of 3025 is: 5² × 11².
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 3025 is divided by 5 to get 605.
Step 2: Now divide 605 by 5 to get 121.
Step 3: Then divide 121 by 11 to get 11. Here, 11 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 3025 is: 5² × 11².
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 3025: (1, 3025), (5, 605), (25, 121).
Negative factor pairs of 3025: (-1, -3025), (-5, -605), (-25, -121).
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 theater has 605 seats and is showing a popular movie. If 5 people want to sit in each row, how many rows can be formed?
121 rows can be formed.
To find the number of rows, divide the total seats by seats per row.
605/5 = 121
A square photo has an area of 3025 square centimeters. What is the length of one side of the photo?
55 centimeters.
To find the length of one side of the square, we take the square root of the area.
√3025 = 55
You have 25 gift boxes and 3025 candies. How many candies can go in each box?
Each box will have 121 candies.
To find the candies in each box, divide the total candies by the number of boxes.
3025/25 = 121
A library has 3025 books and wants to place them evenly on 5 shelves. How many books will be on each shelf?
Each of the shelves has 605 books.
Divide total books by shelves.
3025/5 = 605
If a garden is 605 square meters and is to be divided into 5 equal sections, what will be the area of each section?
Each section will be 121 square meters.
Divide the total area by the number of sections.
605/5 = 121
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.