104 LearnersLast updated on May 26th, 2025
Factors of 1450
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 1450, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1450?
The numbers that divide 1450 evenly are known as factors of 1450.
A factor of 1450 is a number that divides the number without a remainder.
The factors of 1450 are 1, 2, 5, 10, 25, 29, 50, 58, 145, 290, 725, and 1450.
Negative factors of 1450: -1, -2, -5, -10, -25, -29, -50, -58, -145, -290, -725, and -1450.
Prime factors of 1450: 2, 5, and 29.
Prime factorization of 1450: 2 × 5^2 × 29.
The sum of factors of 1450: 1 + 2 + 5 + 10 + 25 + 29 + 50 + 58 + 145 + 290 + 725 + 1450 = 2790
How to Find Factors of 1450?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 1450. Identifying the numbers which are multiplied to get the number 1450 is the multiplication method.
Step 1: Multiply 1450 by 1, 1450 × 1 = 1450.
Step 2: Check for other numbers that give 1450 after multiplying:
2 × 725 = 1450
5 × 290 = 1450
10 × 145 = 1450
25 × 58 = 1450
29 × 50 = 1450
Therefore, the positive factor pairs of 1450 are: (1, 1450), (2, 725), (5, 290), (10, 145), (25, 58), (29, 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 in whole numbers as factors. Factors can be calculated by following a simple division method:
Step 1: Divide 1450 by 1, 1450 ÷ 1 = 1450.
Step 2: Continue dividing 1450 by the numbers until the remainder becomes 0.
1450 ÷ 1 = 1450
1450 ÷ 2 = 725
1450 ÷ 5 = 290
1450 ÷ 10 = 145
1450 ÷ 25 = 58
1450 ÷ 29 = 50
Therefore, the factors of 1450 are: 1, 2, 5, 10, 25, 29, 50, 58, 145, 290, 725, 1450.
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 1450 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1450 ÷ 2 = 725
725 ÷ 5 = 145
145 ÷ 5 = 29
29 ÷ 29 = 1
The prime factors of 1450 are 2, 5, and 29. The prime factorization of 1450 is: 2 × 5^2 × 29.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 1450 is divided by 2 to get 725.
Step 2: Now divide 725 by 5 to get 145.
Step 3: Then divide 145 by 5 to get 29.
Here, 29 is a prime number that cannot be divided anymore.
So, the prime factorization of 1450 is: 2 × 5^2 × 29.
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 1450: (1, 1450), (2, 725), (5, 290), (10, 145), (25, 58), and (29, 50).
Negative factor pairs of 1450: (-1, -1450), (-2, -725), (-5, -290), (-10, -145), (-25, -58), and (-29, -50).
Common Mistakes and How to Avoid Them in Factors of 1450
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
People might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1450, 1 and 1450 are also factors.
Factors of 1450 Examples
Problem 1
There are 5 teams and 1450 marbles. How will they divide it equally?
They will get 290 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles by the number of teams.
1450/5 = 290
Problem 2
A garden is rectangular, the length of the garden is 50 meters and the total area is 1450 square meters. Find the width?
29 meters.
Explanation
To find the width of the garden, we use the formula:
Area = length × width
1450 = 50 × width
To find the value of width, we need to shift 50 to the left side.
1450/50 = width
Width = 29.
Problem 3
There are 725 pieces of fruit and 145 baskets. How many pieces of fruit will be in each basket?
Each basket will have 5 pieces of fruit.
Explanation
To find the pieces of fruit in each basket, divide the total pieces of fruit by the baskets.
725/145 = 5
Problem 4
In a school, there are 1450 students and 29 classes. How many students are there in each class?
There are 50 students in each class.
Explanation
Dividing the students by the total classes, we will get the number of students in each class.
1450/29 = 50
Problem 5
1450 pages need to be distributed in 10 folders. How many pages will go in each folder?
Each of the folders has 145 pages.
Explanation
Divide total pages by folders.
1450/10 = 145
FAQs on Factors of 1450
1.What are the factors of 1450?
2.Mention the prime factors of 1450.
3.Is 1450 a multiple of 25?
4.Mention the factor pairs of 1450?
5.What is the square of 1450?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 1450?
7.What are some fun ways kids in Vietnam can practice Factors of 1450 with numbers?
8.What role do numbers and Factors of 1450 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 1450 skills?
Important Glossaries for Factors of 1450
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1450 are 1, 2, 5, 10, 25, 29, 50, 58, 145, 290, 725, and 1450.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 29 are prime factors of 1450.
- 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 1450 are (1, 1450), (2, 725), etc.
- Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 1450 is 2 × 5^2 × 29.
- Multiples: Numbers that can be divided by a given number without leaving a remainder. For example, 1450 is a multiple of 25.
Explore More numbers
Previous to Factors of 1450
About BrightChamps in Vietnam
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.
