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 1374, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1374 evenly are known as factors of 1374.
A factor of 1374 is a number that divides the number without remainder.
The factors of 1374 are 1, 2, 3, 6, 229, 458, 687, and 1374.
Negative factors of 1374: -1, -2, -3, -6, -229, -458, -687, and -1374.
Prime factors of 1374: 2, 3, and 229.
Prime factorization of 1374: 2 × 3 × 229.
The sum of factors of 1374: 1 + 2 + 3 + 6 + 229 + 458 + 687 + 1374 = 2760
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 1374. Identifying the numbers which are multiplied to get the number 1374 is the multiplication method.
Step 1: Multiply 1374 by 1, 1374 × 1 = 1374.
Step 2: Check for other numbers that give 1374 after multiplying
2 × 687 = 1374
3 × 458 = 1374
6 × 229 = 1374
Therefore, the positive factor pairs of 1374 are: (1, 1374), (2, 687), (3, 458), and (6, 229).
All these factor pairs result in 1374.
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 as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1374 by 1, 1374 ÷ 1 = 1374.
Step 2: Continue dividing 1374 by the numbers until the remainder becomes 0.
1374 ÷ 1 = 1374
1374 ÷ 2 = 687
1374 ÷ 3 = 458
1374 ÷ 6 = 229
Therefore, the factors of 1374 are: 1, 2, 3, 6, 229, 458, 687, and 1374.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1374 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1374 ÷ 2 = 687
687 ÷ 3 = 229
229 is a prime number and cannot be divided further.
The prime factors of 1374 are 2, 3, and 229.
The prime factorization of 1374 is: 2 × 3 × 229.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1374 is divided by 2 to get 687.
Step 2: Now divide 687 by 3 to get 229. Here, 229 is a prime number, that cannot be divided anymore. So, the prime factorization of 1374 is: 2 × 3 × 229.
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 1374: (1, 1374), (2, 687), (3, 458), and (6, 229).
Negative factor pairs of 1374: (-1, -1374), (-2, -687), (-3, -458), and (-6, -229).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
A book club has 6 members and 1374 pages to read. If they divide the pages equally, how many pages will each member read?
Each member will read 229 pages.
To divide the pages equally, we need to divide the total pages by the number of members.
1374/6 = 229
A rectangular garden has a length of 229 meters and a total area of 1374 square meters. Find the width of the garden.
6 meters.
To find the width of the garden, we use the formula,
Area = length × width
1374 = 229 × width
To find the value of width, we need to shift 229 to the left side.
1374/229 = width
Width = 6.
There are 3 trucks and 1374 boxes to be loaded. How many boxes will go into each truck?
Each truck will have 458 boxes.
To find the boxes in each truck, divide the total boxes by the trucks.
1374/3 = 458
In a conference, there are 1374 attendees, and 2 auditoriums. How many attendees are there in each auditorium?
There are 687 attendees in each auditorium.
Dividing the attendees by the total auditoriums, we will get the number of attendees in each auditorium.
1374/2 = 687
1374 books need to be arranged in 3 libraries. How many books will go in each library?
Each library will have 458 books.
Divide total books by libraries.
1374/3 = 458
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.