134 LearnersLast updated on May 26th, 2025
Factors of 2450
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.
What are the Factors of 2450?
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.
How to Find Factors of 2450?
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 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.
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 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.
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 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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 2450
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 2450, 1 and 2450 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 2450 consist of -1, -2, -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 1.5 as a factor, because 2450/1.5 = 1633.333, 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 2450 are prime numbers.
For example, 2, 5, and 7 are the prime factors of 2450, but it has other factors like 14, 25.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 2450 as 2 × 5^2 × 7^2 and missing all the key factors.
Factors of 2450 Examples
Problem 1
There are 245 people and 2450 apples. How will they divide them equally?
They will get 10 apples each.
Explanation
To divide the apples equally, we need to divide the total apples with the number of people.
2450/245 = 10
Problem 2
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.
Explanation
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.
Problem 3
There are 50 baskets and 2450 oranges. How many oranges will be in each basket?
Each basket will have 49 oranges.
Explanation
To find the oranges in each basket, divide the total oranges with the baskets.
2450/50 = 49
Problem 4
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.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
1225/7 = 175
Problem 5
2450 books need to be arranged in 35 shelves. How many books will go on each shelf?
Each of the shelves has 70 books.
Explanation
Divide total books with shelves.
2450/35 = 70
FAQs on Factors of 2450
1.What are the factors of 2450?
2.Mention the prime factors of 2450.
3.Is 2450 a multiple of 25?
4.Mention the factor pairs of 2450?
5.What is the square of 2450?
6.How can children in Canada use numbers in everyday life to understand Factors of 2450?
7.What are some fun ways kids in Canada can practice Factors of 2450 with numbers?
8.What role do numbers and Factors of 2450 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 2450 skills?
Important Glossaries for Factor of 2450
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2450 are 1, 2, 5, 7, etc.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 7 are prime factors of 2450.
- 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 2450 are (1, 2450), (2, 1225), etc.
- Prime factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 2450 is 2 × 5^2 × 7^2.
- Multiple: A number that can be divided by another number without a remainder. For example, 2450 is a multiple of 25.
Explore More numbers
![Important Math Links Icon]()
Previous to Factors of 2450
![Important Math Links Icon]()
Next to Factors of 2450
About BrightChamps in Canada
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.
