Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 2 buses and 1774 passengers. How will they distribute equally?
Each bus will have 887 passengers.
To divide the passengers equally, we need to divide the total passengers by the number of buses.
1774/2 = 887
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.
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.
There are 1774 apples and 1 basket. How many apples will be in the basket?
The basket will have 1774 apples.
To find the apples in the basket, divide the total apples by the number of baskets.
1774/1 = 1774
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.
Dividing the chairs by the total groups, we will get the number of chairs in each group.
1774/2 = 887
1774 books need to be arranged in 1 library. How many books will go in the library?
The library will have 1774 books.
Divide total books by libraries.
1774/1 = 1774
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.
: She loves to read number jokes and games.