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 the items equally, arranging things, etc. In this topic, we will learn about the factors of 2450, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 2450 evenly are known as factors of 2450.
A factor of 2450 is a number that divides the number without remainder.
The factors of 2450 are 1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 122, 175, 245, 350, 490, 1225, and 2450.
Negative factors of 2450: -1, -2, -5, -7, -10, -14, -25, -35, -49, -50, -70, -98, -122, -175, -245, -350, -490, -1225, and -2450.
Prime factors of 2450: 2, 5, and 7.
Prime factorization of 2450: 2 × 5^2 × 7^2.
The sum of factors of 2450: 1 + 2 + 5 + 7 + 10 + 14 + 25 + 35 + 49 + 50 + 70 + 98 + 122 + 175 + 245 + 350 + 490 + 1225 + 2450 = 5373.
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 2450. Identifying the numbers which are multiplied to get the number 2450 is the multiplication method.
Step 1: Multiply 2450 by 1, 2450 × 1 = 2450.
Step 2: Check for other numbers that give 2450 after multiplying
2 × 1225 = 2450
5 × 490 = 2450
7 × 350 = 2450
10 × 245 = 2450
14 × 175 = 2450
25 × 98 = 2450
35 × 70 = 2450
49 × 50 = 2450
Therefore, the positive factor pairs of 2450 are: (1, 2450), (2, 1225), (5, 490), (7, 350), (10, 245), (14, 175), (25, 98), (35, 70), and (49, 50).
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 as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 2450 by 1, 2450 ÷ 1 = 2450.
Step 2: Continue dividing 2450 by the numbers until the remainder becomes 0.
2450 ÷ 1 = 2450
2450 ÷ 2 = 1225
2450 ÷ 5 = 490
2450 ÷ 7 = 350
2450 ÷ 10 = 245
2450 ÷ 14 = 175
2450 ÷ 25 = 98
2450 ÷ 35 = 70
2450 ÷ 49 = 50
Therefore, the factors of 2450 are: 1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 122, 175, 245, 350, 490, 1225, and 2450.
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 2450 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2450 ÷ 2 = 1225
1225 ÷ 5 = 245
245 ÷ 5 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1
The prime factors of 2450 are 2, 5, and 7.
The prime factorization of 2450 is: 2 × 5^2 × 7^2.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 2450 is divided by 2 to get 1225.
Step 2: Now divide 1225 by 5 to get 245.
Step 3: Then divide 245 by 5 to get 49.
Step 4: Divide 49 by 7 to get 7.
Here, 7 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 2450 is: 2 × 5^2 × 7^2.
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 2450: (1, 2450), (2, 1225), (5, 490), (7, 350), (10, 245), (14, 175), (25, 98), (35, 70), and (49, 50).
Negative factor pairs of 2450: (-1, -2450), (-2, -1225), (-5, -490), (-7, -350), (-10, -245), (-14, -175), (-25, -98), (-35, -70), and (-49, -50).
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 245 people and 2450 apples. How will they divide them equally?
They will get 10 apples each.
To divide the apples equally, we need to divide the total apples with the number of people.
2450/245 = 10
A field is rectangular, the length of the field is 35 meters and the total area is 2450 square meters. Find the width?
70 meters.
To find the width of the field, we use the formula,
Area = length × width
2450 = 35 × width
To find the value of width, we need to shift 35 to the left side.
2450/35 = width
Width = 70.
There are 50 baskets and 2450 oranges. How many oranges will be in each basket?
Each basket will have 49 oranges.
To find the oranges in each basket, divide the total oranges with the baskets.
2450/50 = 49
In a class, there are 1225 students, and 7 groups. How many students are there in each group?
There are 175 students in each group.
Dividing the students with the total groups, we will get the number of students in each group.
1225/7 = 175
2450 books need to be arranged in 35 shelves. How many books will go on each shelf?
Each of the shelves has 70 books.
Divide total books with shelves.
2450/35 = 70
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.