Last updated on May 30th, 2025
Factors are the numbers that divide any given number evenly without a 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 1214, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1214 evenly are known as factors of 1214.
A factor of 1214 is a number that divides the number without a remainder.
The factors of 1214 are 1, 2, 607, and 1214.
Negative factors of 1214: -1, -2, -607, and -1214.
Prime factors of 1214: 2 and 607.
Prime factorization of 1214: 2 × 607.
The sum of factors of 1214: 1 + 2 + 607 + 1214 = 1824
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 1214. Identifying the numbers which are multiplied to get the number 1214 is the multiplication method.
Step 1: Multiply 1214 by 1, 1214 × 1 = 1214.
Step 2: Check for other numbers that give 1214 after multiplying
2 × 607 = 1214
Therefore, the positive factor pairs of 1214 are: (1, 1214), (2, 607).
For every positive factor, there is a negative factor.
Dividing the given number with 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 1214 by 1, 1214 ÷ 1 = 1214.
Step 2: Continue dividing 1214 by the numbers until the remainder becomes 0.
1214 ÷ 1 = 1214
1214 ÷ 2 = 607
Therefore, the factors of 1214 are: 1, 2, 607, and 1214.
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 1214 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1214 ÷ 2 = 607
607 is a prime number, thus the division stops here.
The prime factors of 1214 are 2 and 607.
The prime factorization of 1214 is: 2 × 607.
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 1214 is divided by 2 to get 607.
Step 2: Since 607 is a prime number, it cannot be divided further. So, the prime factorization of 1214 is: 2 × 607.
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 1214: (1, 1214), (2, 607).
Negative factor pairs of 1214: (-1, -1214), (-2, -607).
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 teams and 1214 points. How will they divide the points equally?
They will get 607 points each.
To divide the points equally, we need to divide the total points by the number of teams.
1214 ÷ 2 = 607
A rectangular garden has a length of 607 meters and a total area of 1214 square meters. Find the width.
2 meters.
To find the width of the garden, we use the formula, Area = length × width
1214 = 607 × width
To find the value of width, we need to shift 607 to the left side.
1214 ÷ 607 = width
Width = 2.
There are 607 packages and 1214 items. How many items will be in each package?
Each package will have 2 items.
To find the items in each package, divide the total items by the number of packages.
1214 ÷ 607 = 2
A theater has 1214 seats, and there are 2 sections. How many seats are there in each section?
There are 607 seats in each section.
Dividing the seats by the total sections, we will get the number of seats in each section.
1214 ÷ 2 = 607
1214 books need to be arranged in 2 rows. How many books will go in each row?
Each row has 607 books.
Divide the total books by rows.
1214 ÷ 2 = 607
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.