138 LearnersLast updated on May 30th, 2025
Factors of 1214
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.
What are the Factors of 1214?
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
How to Find Factors of 1214?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 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.
Finding Factors Using Division Method
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.
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 a factor tree
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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 1214
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 1214, 1 and 1214 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1214 include -1, -2, -607, 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 1214/1.5 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 1214 are prime numbers.
For example, 2 and 607 are the prime factors of 1214, but it has other factors like 1 and 1214.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing incorrect factors.
For example, not breaking 1214 as 2 × 607 and missing all the key factors.
Factors of 1214 Examples
Problem 1
There are 2 teams and 1214 points. How will they divide the points equally?
They will get 607 points each.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
1214 ÷ 2 = 607
Problem 2
A rectangular garden has a length of 607 meters and a total area of 1214 square meters. Find the width.
2 meters.
Explanation
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.
Problem 3
There are 607 packages and 1214 items. How many items will be in each package?
Each package will have 2 items.
Explanation
To find the items in each package, divide the total items by the number of packages.
1214 ÷ 607 = 2
Problem 4
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.
Explanation
Dividing the seats by the total sections, we will get the number of seats in each section.
1214 ÷ 2 = 607
Problem 5
1214 books need to be arranged in 2 rows. How many books will go in each row?
Each row has 607 books.
Explanation
Divide the total books by rows.
1214 ÷ 2 = 607
FAQs on Factors of 1214
1.What are the factors of 1214?
2.Mention the prime factors of 1214.
3.Is 1214 a multiple of 2?
4.Mention the factor pairs of 1214?
5.What is the square of 1214?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1214?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1214 with numbers?
8.What role do numbers and Factors of 1214 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 1214 skills?
Important Glossaries for Factor of 1214
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1214 are 1, 2, 607, and 1214.
- Prime factors: The factors which are prime numbers. For example, 2 and 607 are prime factors of 1214.
- 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 1214 are (1, 1214) and (2, 607).
- Prime factorization: Expressing a number as the product of its prime factors. For 1214, it is 2 × 607.
- Negative factors: Factors of a number that are negative. For 1214, they are -1, -2, -607, and -1214.
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About BrightChamps in United Arab Emirates
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.
