116 LearnersLast updated on May 26th, 2025
Factors of 1775
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 1775, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1775?
The numbers that divide 1775 evenly are known as factors of 1775.
A factor of 1775 is a number that divides the number without remainder.
The factors of 1775 are 1, 5, 7, 25, 35, 71, 175, 355, and 1775.
Negative factors of 1775: -1, -5, -7, -25, -35, -71, -175, -355, and -1775.
Prime factors of 1775: 5, 7, and 71.
Prime factorization of 1775: 5 × 7 × 71.
The sum of factors of 1775: 1 + 5 + 7 + 25 + 35 + 71 + 175 + 355 + 1775 = 2449.
How to Find Factors of 1775?
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 1775. Identifying the numbers which are multiplied to get the number 1775 is the multiplication method.
Step 1: Multiply 1775 by 1, 1775 × 1 = 1775.
Step 2: Check for other numbers that give 1775 after multiplying
5 × 355 = 1775
7 × 255 = 1775
25 × 71 = 1775
35 × 51 = 1775
Therefore, the positive factor pairs of 1775 are: (1, 1775), (5, 355), (7, 255), (25, 71), and (35, 51).
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 1775 by 1, 1775 ÷ 1 = 1775.
Step 2: Continue dividing 1775 by the numbers until the remainder becomes 0.
1775 ÷ 1 = 1775
1775 ÷ 5 = 355
1775 ÷ 7 = 255
1775 ÷ 25 = 71
1775 ÷ 35 = 51
Therefore, the factors of 1775 are: 1, 5, 7, 25, 35, 71, 175, 355, 1775.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. 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 1775 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1775 ÷ 5 = 355
355 ÷ 5 = 71
71 ÷ 71 = 1
The prime factors of 1775 are 5, 7, and 71.
The prime factorization of 1775 is: 5 × 7 × 71.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1775 is divided by 5 to get 355.
Step 2: Now divide 355 by 5 to get 71.
Step 3: Finally, divide 71 by 71 to get 1. Here, 71 is a prime number that cannot be divided anymore.
So, the prime factorization of 1775 is: 5 × 7 × 71.
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 1775: (1, 1775), (5, 355), (7, 255), (25, 71), and (35, 51).
Negative factor pairs of 1775: (-1, -1775), (-5, -355), (-7, -255), (-25, -71), and (-35, -51).
Common Mistakes and How to Avoid Them in Factors of 1775
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 number. Always remember to include 1 and the number itself.
For example, in factors of 1775, 1 and 1775 are also factors.
Factors of 1775 Examples
Problem 1
There are 5 friends and 1775 candies. How will they divide it equally?
They will get 355 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of friends.
1775/5 = 355
Problem 2
A field is rectangular, the length of the field is 25 meters, and the total area is 1775 square meters. Find the width.
71 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
1775 = 25 × width
To find the value of the width, we need to shift 25 to the left side.
1775/25 = width
Width = 71.
Problem 3
There are 35 crates and 1775 apples. How many apples will be in each crate?
Each crate will have 51 apples.
Explanation
To find the apples in each crate, divide the total apples by the number of crates.
1775/35 = 51
Problem 4
In a class, there are 1775 students, and they are divided into 71 groups. How many students are there in each group?
There are 25 students in each group.
Explanation
Dividing the students by the total groups will give the number of students in each group.
1775/71 = 25
Problem 5
1775 books need to be arranged in 5 shelves. How many books will go on each shelf?
Each of the shelves will have 355 books.
Explanation
Divide total books by shelves.
1775/5 = 355
FAQs on Factors of 1775
1.What are the factors of 1775?
2.Mention the prime factors of 1775.
3.Is 1775 a multiple of 7?
4.Mention the factor pairs of 1775.
5.What is the square of 1775?
6.How can children in United States use numbers in everyday life to understand Factors of 1775?
7.What are some fun ways kids in United States can practice Factors of 1775 with numbers?
8.What role do numbers and Factors of 1775 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 1775 skills?
Important Glossaries for Factor of 1775
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1775 are 1, 5, 7, 25, 35, 71, 175, 355, and 1775.
- Prime factors: The factors which are prime numbers. For example, 5, 7, and 71 are prime factors of 1775.
- 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 1775 are (1, 1775), (5, 355), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1775 is 5 × 7 × 71.
- Multiple: A multiple is the product of a number and an integer. For example, 1775 is a multiple of 5.
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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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