Table Of Contents

Finding Factors Using Multiplication

Finding Factors Using Division Method

Prime Factors and Prime Factorization

Factor Tree

Common Mistakes and How to Avoid Them in Factors of 2450

Factors of 2450 Examples

FAQs on Factors of 2450

Important Glossaries for Factor of 2450

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Last updated on May 26th, 2025

Factors of 2450

Q: Mention the prime factors of 2450.

The prime factors of 2450 are 2 × 5^2 × 7^2.

Q: What is the square of 2450?

The square of 2450 is 6,002,500.

Q: How can children in Canada use numbers in everyday life to understand Factors of 2450?

Numbers appear everywhere—from counting money to measuring ingredients. Kids in Canada see how Factors of 2450 helps solve real problems, making numbers meaningful beyond the classroom.

Q: What are some fun ways kids in Canada can practice Factors of 2450 with numbers?

Games like board games, sports scoring, or even cooking help children in Canada use numbers naturally. These activities make practicing Factors of 2450 enjoyable and connected to their world.

Q: What role do numbers and Factors of 2450 play in helping children in Canada develop problem-solving skills?

Working with numbers through Factors of 2450 sharpens reasoning and critical thinking, preparing kids in Canada for challenges inside and outside the classroom.

Q: How can families in Canada create number-rich environments to improve Factors of 2450 skills?

Families can include counting chores, measuring recipes, or budgeting allowances, helping children connect numbers and Factors of 2450 with everyday activities.

Professor Greenline Explaining Math Concepts

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.

Factors of 2450 for Canadian Students

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.

factors of 2450

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

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

There are 245 people and 2450 apples. How will they divide them equally?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

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

Max from BrightChamps Praising Clear Math Explanations

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.

About BrightChamps inCanada

At BrightCHAMPS, numbers are more than just symbols they’re keys to many possibilities! We aim to help kids across Canada develop important math skills, with today’s focus on Factors of 2450, highlighting factors in a lively, fun, and accessible way. Whether your child is calculating the speed of a ride at Canada’s Wonderland, keeping track of hockey scores, or budgeting their allowance to buy gadgets, mastering numbers boosts their everyday confidence. Our engaging lessons make learning both fun and easy. Since kids in Canada learn differently, we adapt our teaching to each child’s style. From Toronto’s bustling streets to British Columbia’s scenic views, BrightCHAMPS brings math to life across Canada. Let’s make factors a fun part of every child’s learning experience!

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.