Factors of 14

Factors of 14 are the whole numbers 1, 2, 7, and 14 itself. So, these numbers are divided into 14 without leaving any remainder or multiplied by two pairs of integers to get 14. The process of factorization involves expressing a number as the product of its factors; in the case of 14, this can be 1 × 14 or 2 × 7, and the factors of 14 by Division Method involves expressing a number into a division pattern, this can be 14/2 = 7 or 14/1 = 14.

In this article, we will learn about the topic factors of 14, in detail.

Factors Definition

Factors are those numbers that can divide a given number evenly without leaving a remainder.

For Example: Let’s consider 14,

• 1 and 14 (1 × 14) = 14
• 2 and 7 (2 × 7 = 14

So, the factors of 14 are 1, 2, 7, and 14.

Learn, Factors of a Number

What are Factors of 14?

14 has four factors 1, 2, 7 and 14.

The integers that divide 14 into a natural number without producing a remainder are known as the factors of 14. So, Let’s see the multiple pairs of numbers that form 14.

• 1 × 14 = 14
• 2 × 7 = 14

So the factors of 14 are 1, 2,7, and 14.

All Factors of 14

The complete list of factors of 14 is as follows:

Factors of 14 are 1, 2, 7, and 14.

Prime Factorization of 14

The prime factorization of 14 is shown in the image added below, (14 = 2 × 7)

Prime Factors of 14

Let’s see the prime factors of 14, in the following steps:

• Begins with the number 14.
• The Smallest prime number 2, is used to divide 14; 14 ÷ 2 = 7.
• Now, let’s take the prime number 7. The prime factorization of 14 is 2 × 7.

So, the prime factorization of 14 are 2 and 7.

Read More about Prime Factorization

How to Find Factors of 14?

The initial number 14, divided entirely with the integers, leaving no remainder, is needed to determine the factors of 14. So, let’s calculate the factors with the usage of methods.

• Division Method
• Multiplication Method

Let’s discuss both the methods in detail.

Factors of 14 by Division Method

The factors of 14 are the integers that divide 14 evenly without producing an excess. Let’s now examine how you can accomplish it:

• 14/1 = 14
• 14/2 = 7
• 14/7 = 2
• 14/14 = 1

So, It has been proven by the division method the factors of 14 are 1,2,7 and 14.

Factors of 14 by Multiplication Method

By multiplying the factors together to obtain the original number (14), you can pair up the factors and use the multiplication method to find the factors of 14.

• 1 × 14 = 14
• 2 × 7 = 14
• 7 × 2 = 14

So, It has been proven by the multiplication method the factors of 14 are 1,2,7 and 14.

Factor Tree of 14

Let’s see the factor tree of 14 and how it begins.

• It starts with the number 14.
• After that, break into two factors 2 and 7.
• Now, we get the last prime numbers 2 and 7. It will stop here only.

Therefore, the prime factorization of 14 is 2 × 7.

Factor Pairs of 14

Factor pairs are numbers that produce a particular product when they are multiplied together. So, Let’s explore the factor pairs of 14. There are two types of factor pairs: positive and negative.

Positive Factor Pair of 14

When you multiply the two positive integers together after that you get the product, in the form of the factor. So, let’s pair the positive integers and get the number 14.

• 1 × 14 = 14
• 2 × 7 = 14
• 7 × 2 = 14
• 14 × 1 = 14

Negative Factor Pair of 14

When you multiply the two negative integers together after that you get the product, in the form of the factor. So, let’s pair the negative integers and get the number 14.

• -1 × – 14 = 14
• -2 × -7 = 14
• -7 × -2 = 14
• -14 × -1 = 14

Read More,

• Factors of 12
• Factors of 36

Factors of 14 – Solved Examples

Example 1: Find the common factors of 14 and 7.

Solution:

Let’s find the common factors of both the numbers 14 and 7.

Factors of 14: 1, 2, 7, 14
Factors of 7: 1, 7

So, the common factors are 1 and 7.

Example 2: Find the Sum of all the prime factors of 14.

Solution:

The prime factors of 14 is, 2 and 7. So, let’s find the sum of prime factors of 14:

2 + 7 = 9

So, the sum of all the prime factors of 14 is 9.

Example 3: Sahil bought 14 cups of orange juice for his colleagues. He gave all the cups of orange juice to his 7 colleagues. How many cups of orange juice did each of them receive?

Solution:

Number of orange juice = 14 cups

Number of Colleagues = 7

No. of cups of orange juice, each colleague got 14/7 = 2

Therefore, each colleague got 2 cups of orange juice.

Example 4: Express 14 as the product of its prime factors.

Solution:

You can utilize its prime factorization, 2 × 7, to express 14 as the product of its prime components. Thus, you can write 14 as follows:

2 × 7 = 14

Factors of 14 Practice Questions

Q1: Is 3 is a factor of 14.

Q2: What is the smallest factor of 14?

Q3: What are the negative pair factors of 14?

Q4: Is 14 a composite number?

Factors of 14 Frequently Asked Questions

What are the Factors of 14?

The factors of 14 are 1, 2, 7, and 14.

Is 4 a Factor of 14?

No, 4 is not a factor of 14.

What are the Prime Factors of 14?

The prime factors of 14 are 2 and 7.

What are the Positive Pair Factors of 14?

The positive pair factors of 14 are (1, 14) and (2, 7).

What are the Common Factors of 2 and 14?

The common factor of 2 and 14 is 2.

What is the Factor of 14 from the Numbers 1, 3, 4, 5, 6, 7, 8, and 9?

The factors of 14 from the given numbers 3, 4, 5, 6, 7, 8, and 9 are 1 and 7.