130 LearnersLast updated on May 26th, 2025
Factors of 1774
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 1774, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1774?
The numbers that divide 1774 evenly are known as factors of 1774.
A factor of 1774 is a number that divides the number without remainder.
The factors of 1774 are 1, 2, 887, and 1774.
Negative factors of 1774: -1, -2, -887, and -1774.
Prime factors of 1774: 2 and 887.
Prime factorization of 1774: 2 × 887.
The sum of factors of 1774: 1 + 2 + 887 + 1774 = 2664
How to Find Factors of 1774?
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 1774. Identifying the numbers which are multiplied to get the number 1774 is the multiplication method.
Step 1: Multiply 1774 by 1, 1774 × 1 = 1774.
Step 2: Check for other numbers that give 1774 after multiplying 2 × 887 = 1774
Therefore, the positive factor pairs of 1774 are: (1, 1774) and (2, 887).
All these factor pairs result in 1774.
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 1774 by 1, 1774 ÷ 1 = 1774.
Step 2: Continue dividing 1774 by the numbers until the remainder becomes 0.
1774 ÷ 1 = 1774
1774 ÷ 2 = 887
Therefore, the factors of 1774 are: 1, 2, 887, 1774.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 1774 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1774 ÷ 2 = 887
Since 887 is a prime number, the process stops here.
The prime factors of 1774 are 2 and 887.
The prime factorization of 1774 is: 2 × 887.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1774 is divided by 2 to get 887. Here, 887 is a prime number and cannot be divided further.
So, the prime factorization of 1774 is: 2 × 887.
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 1774: (1, 1774) and (2, 887).
Negative factor pairs of 1774: (-1, -1774) and (-2, -887).
Common Mistakes and How to Avoid Them in Factors of 1774
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1774, 1 and 1774 is also a factor.
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 1774 consist of -1, -2, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor because 1774/1.5 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 1774 are prime numbers.
For example, 2 and 887 are the prime factors of 1774, but it has other factors like 1, 1774.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up in writing wrong factors.
For example, not breaking 1774 as 2 × 887 and missing all the key factors.
Factors of 1774 Examples
Problem 1
There are 2 buses and 1774 passengers. How will they distribute equally?
Each bus will have 887 passengers.
Explanation
To divide the passengers equally, we need to divide the total passengers by the number of buses.
1774/2 = 887
Problem 2
A farm is rectangular, the length of the farm is 887 meters and the total area is 1774 square meters. Find the width?
2 meters.
Explanation
To find the width of the farm, we use the formula,
Area = length × width
1774 = 887 × width
To find the value of width, we need to shift 887 to the left side.
1774/887 = width
Width = 2.
Problem 3
There are 1774 apples and 1 basket. How many apples will be in the basket?
The basket will have 1774 apples.
Explanation
To find the apples in the basket, divide the total apples by the number of baskets.
1774/1 = 1774
Problem 4
In a hall, there are 2 groups and 1774 chairs. How many chairs are there in each group?
There are 887 chairs in each group.
Explanation
Dividing the chairs by the total groups, we will get the number of chairs in each group.
1774/2 = 887
Problem 5
1774 books need to be arranged in 1 library. How many books will go in the library?
The library will have 1774 books.
Explanation
Divide total books by libraries.
1774/1 = 1774
FAQs on Factors of 1774
1.What are the factors of 1774?
2.Mention the prime factors of 1774.
3.Is 1774 a multiple of 2?
4.Mention the factor pairs of 1774?
5.What is the square of 1774?
6.How can children in United States use numbers in everyday life to understand Factors of 1774?
7.What are some fun ways kids in United States can practice Factors of 1774 with numbers?
8.What role do numbers and Factors of 1774 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 1774 skills?
Important Glossaries for Factor of 1774
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1774 are 1, 2, 887, and 1774.
- Prime factors: The factors which are prime numbers. For example, 2 and 887 are prime factors of 1774.
- 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 1774 are (1, 1774) and (2, 887).
- Prime factorization: The expression of a number as a product of prime factors. For example, the prime factorization of 1774 is 2 × 887.
- Negative factors: Factors that are negative. For example, -1, -2, -887, and -1774 are negative factors of 1774.
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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
: She loves to read number jokes and games.
