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491 LearnersLast updated on December 11, 2025
Factors of 14
What are the Factors of 14?
Factors often come in pairs. There are several methods to figure them out, which you'll be learning about in a second. For now, let's just focus on the factors of 14, which are mentioned below:
Negative factors of 14: -1, -2, -7, -14
Prime factors of 14: 2 and 7
Prime factorization of 14: 2 × 7
The sum of factors of 14: 1 + 2 + 7 + 14 = 24
How to Find the Factors of 14?
To find factors, students typically use different methods for easier calculations. A few commonly used methods are as follows:
- The Multiplication Method
- The Division Method
- Prime Factorization (Prime Factor Method).
In this section, we will discuss a detailed explanation of the following methods:
Finding Factors Using Multiplication Method
In the multiplication method, we will try to find out what numbers will multiply together, and give us the value 14. We will check the factors step by step:
Step 1: Start by multiplying numbers to find those that give the value 14.
1 × 14 = 14
2 × 7 = 14
Step 2: These are the factors of 14.
Step 3: The positive factor pairs of 14 are (1, 14) and (2, 7).
Step 4: The negative factor pairs of 14 are (-1, -14) and (-2, -7).
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Finding Factors Using Division Method
Using this method, we will divide 14 by whole numbers and write down those numbers that leave no remainder. Let us go through the step-by-step process to find the factors of 14:
Step 1: Divide 14 by integers starting from 1 and check if there is any remainder. For example, 14 ÷ 1 = 14.
Step 2: Continue this process with other integers. For 14, the factors are 1, 2, 7, and 14. 14 can be evenly divided by these numbers.
Prime Factors and Prime Factorization
The prime factors of 14 are 2 and 7. The prime factors can be found using the methods given below:
- Prime Factorization
- Factor Tree
By Using Prime Factorization: It is a method in which we break down a number into its prime factors.
2 is the smallest prime number, so start by dividing by 2. Continue dividing by other prime numbers if needed.
14 ÷ 2 = 7
7 ÷ 7 = 1
The prime factorization of 14 is:
14 = 2 × 7
Through prime factorization, 14 can be broken down into its prime factors, which are 2 and 7.
Factor Tree
A factor tree is a visual representation of breaking a number into its prime factors. It is an easy and simple way to present the factors.
Step 1: 14 divided by 2 gives us the quotient 7.
Step 2: Since 7 is a prime number, it cannot be divided further.
The prime factorization of 14 is written below:
14 = 2 × 7
Factor Pairs
Every number has either a positive or negative factor. Let us look at those sets of factors.
Positive pair Factors: (1,14), (2,7)
Negative pair Factors: (-1,-14), (-2,-7)
Common Mistakes and How to Avoid Them in Factors Of 14
Children tend to make mistakes while finding the factors of a number. Let us look at how to avoid those mistakes.
Mistake 1
Confusing Factors with Multiples
The factors of a number can divide the given number without any remainder. Whereas, multiples are the products of multiplying a number with an integer. For example, for 12, the factors are 1, 2, 3, 4, 6, and 12. The multiples are 12, 24, 36, etc. To avoid this confusion, always understand the concepts clearly.
Mistake 2
Ignoring the Negative Factors
Always remember that each positive factor has a corresponding negative factor. For example, the factors of 12 are ±1, ±2, ±3, ±4, ±6, ±12.
Mistake 3
Not Checking Divisibility Properly
In some cases, students might wrongly assume that a number cannot be divided further. For example, they may assume that 8 isn't a factor of 24, but this is incorrect. Checking divisibility, we find that 24 ÷ 8 = 3, with no remainder. This shows that 8 is indeed a factor of 24. To avoid this error, always check divisibility
Mistake 4
Avoiding Larger Factors
Sometimes, students may stop after identifying the smaller factors and forget to list the corresponding larger factors. For example, after listing 1, 2, 3, and 4, they might miss the larger factors, such as 6, 8, 12, and 24. To avoid this, it's advised to divide systematically and check both smaller and larger factors.
Factors Of 14 Examples
Problem 1
If a ribbon is 14 cm long, can it be cut into equal pieces of 7 cm?
Yes, 2 pieces.
Explanation
We will get 2 equal pieces. First, we divide 14 by 7, and we get 2 without any remainder. This means the number 7 is a factor of 14. Factors divide evenly without any remainder.
Problem 2
A box contains 14 chocolates. How to divide them among 7 children equally?
Each gets 2 chocolates.
Explanation
Yes, 14 chocolates can be shared equally among 7 children. Each child will get 2 chocolates, with nothing left over.
Problem 3
A piece of wire is 14 cm. When you cut this into equal parts of 2 cm each, calculate how many pieces are there.
7 pieces.
Explanation
The wire is 14 cm long. If you cut it into 2 cm pieces, you divide 14 by 2. This gives 7 pieces. So, there are 7 pieces.
FAQs on Factors Of 14
1.Is 7 a factor of 14?
2.What is divisible by 14?
3.Is 9 a factor of 14?
4.Does 14 have 5 factors?
5.What is the prime factorization of 14?
Important Glossaries For Factors Of 14
- Factors: Factors are numbers that divide a given number exactly, without any remainder. For example, 6 is divisible by 1, 2, 3, and 6. Therefore, 1, 2, 3, and 6 are the factors of 6.
- Prime Factors: Prime factors of a number are a set of prime numbers that multiply together to give the original number. For 14, the prime factors are 2 and 7.
- Multiples: We get multiples when we multiply a number by another number. Let’s take some multiples of 2 (2, 4, 6, and so on).
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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.
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: She loves to read number jokes and games.
