135 LearnersLast updated on May 26th, 2025
Factors of 1550
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 1550, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1550?
The numbers that divide 1550 evenly are known as factors of 1550. A factor of 1550 is a number that divides the number without a remainder. The factors of 1550 are 1, 2, 5, 10, 31, 50, 62, 155, 310, 775, and 1550.
Negative factors of 1550: -1, -2, -5, -10, -31, -50, -62, -155, -310, -775, -1550.
Prime factors of 1550: 2, 5, and 31.
Prime factorization of 1550: 2 × 5^2 × 31.
The sum of factors of 1550: 1 + 2 + 5 + 10 + 31 + 50 + 62 + 155 + 310 + 775 + 1550 = 2951
How to Find Factors of 1550?
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 1550. Identifying the numbers which are multiplied to get the number 1550 is the multiplication method.
Step 1: Multiply 1550 by 1, 1550 × 1 = 1550.
Step 2: Check for other numbers that give 1550 after multiplying
2 × 775 = 1550
5 × 310 = 1550
10 × 155 = 1550
31 × 50 = 1550
Therefore, the positive factor pairs of 1550 are: (1, 1550), (2, 775), (5, 310), (10, 155), (31, 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 1550 by 1, 1550 ÷ 1 = 1550.
Step 2: Continue dividing 1550 by the numbers until the remainder becomes 0.
1550 ÷ 1 = 1550
1550 ÷ 2 = 775
1550 ÷ 5 = 310
1550 ÷ 10 = 155
1550 ÷ 31 = 50
Therefore, the factors of 1550 are: 1, 2, 5, 10, 31, 50, 62, 155, 310, 775, 1550.
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 1550 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1550 ÷ 2 = 775
775 ÷ 5 = 155
155 ÷ 5 = 31
31 ÷ 31 = 1
The prime factors of 1550 are 2, 5, and 31. The prime factorization of 1550 is: 2 × 52 × 31.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1550 is divided by 2 to get 775.
Step 2: Now divide 775 by 5 to get 155.
Step 3: Then divide 155 by 5 to get 31. Here, 31 is the smallest prime number and cannot be divided anymore. So, the prime factorization of 1550 is: 2 × 52 × 31.
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 1550: (1, 1550), (2, 775), (5, 310), (10, 155), and (31, 50).
- Negative factor pairs of 1550: (-1, -1550), (-2, -775), (-5, -310), (-10, -155), and (-31, -50).
Common Mistakes and How to Avoid Them in Factors of 1550
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 1550, 1 and 1550 are also factors.
Factors of 1550 Examples
Problem 1
There are 2 teams and 1550 candies. How will they divide them equally?
They will get 775 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of team 1550/2 = 775
Problem 2
A rectangular garden has a length of 31 meters and a total area of 1550 square meters. Find the width?
50 meters.
Explanation
To find the width of the garden, we use the formula
Area = length × width
1550 = 31 × width
To find the value of width, we need to shift 31 to the left side.
1550/31 = width
Width = 50.
Problem 3
There are 5 trucks and 1550 boxes. How many boxes will be in each truck?
Each truck will have 310 boxes.
Explanation
To find the boxes in each truck, divide the total boxes by the trucks.
1550/5 = 310
Problem 4
A library has 1550 books and 10 shelves. How many books will go on each shelf?
Each of the shelves has 155 books.
Explanation
Divide total books by shelves.
1550/10 = 155
Problem 5
A bakery makes 1550 cookies and has 31 customers. How many cookies will each customer get?
Each customer will get 50 cookies.
Explanation
To find out how many cookies each customer gets, divide the total cookies by the number of customers.
1550/31 = 50
FAQs on Factors of 1550
1.What are the factors of 1550?
2.Mention the prime factors of 1550.
3.Is 1550 a multiple of 31?
4.Mention the factor pairs of 1550?
5.What is the square of 1550?
6.How can children in Canada use numbers in everyday life to understand Factors of 1550?
7.What are some fun ways kids in Canada can practice Factors of 1550 with numbers?
8.What role do numbers and Factors of 1550 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 1550 skills?
Important Glossaries for Factor of 1550
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1550 are 1, 2, 5, 10, 31, 50, 62, 155, 310, 775, and 1550.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 31 are prime factors of 1550.
- 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 1550 are (1, 1550), (2, 775), etc.
- Prime factorization: A way of expressing a number as the product of its prime factors. For example, the prime factorization of 1550 is 2 × 52 × 31.
- Negative factors: Factors that are negative numbers, corresponding to the positive factors. For example, -1, -2, -5, etc., are negative factors of 1550.
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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
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