Factors of 340
2026-02-28 08:27 Diff
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Last updated on December 11, 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 340, how they are used in real life, and tips to learn them quickly.

What are the Factors of 340?

The numbers that divide 340 evenly are known as factors of 340.

A factor of 340 is a number that divides the number without remainder.

The factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, and 340.

Negative factors of 340: -1, -2, -4, -5, -10, -17, -20, -34, -68, -85, -170, and -340.

Prime factors of 340: 2, 5, and 17.

Prime factorization of 340: 2² × 5 × 17.

The sum of factors of 340: 1 + 2 + 4 + 5 + 10 + 17 + 20 + 34 + 68 + 85 + 170 + 340 = 756

How to Find Factors of 340?

Factors can be found using different methods. Mentioned below are some commonly used methods:

Finding Factors Using Multiplication

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 340. Identifying the numbers which are multiplied to get the number 340 is the multiplication method.

Step 1: Multiply 340 by 1, 340 × 1 = 340.

Step 2: Check for other numbers that give 340 after multiplying

2 × 170 = 340

4 × 85 = 340

5 × 68 = 340

10 × 34 = 340

17 × 20 = 340

Therefore, the positive factor pairs of 340 are: (1, 340), (2, 170), (4, 85), (5, 68), (10, 34), (17, 20).

All these factor pairs result in 340.

For every positive factor, there is a negative factor.

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Finding Factors Using Division Method

Dividing the given numbers 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 the simple division method

Step 1: Divide 340 by 1, 340 ÷ 1 = 340.

Step 2: Continue dividing 340 by the numbers until the remainder becomes 0.

340 ÷ 1 = 340

340 ÷ 2 = 170

340 ÷ 4 = 85

340 ÷ 5 = 68

340 ÷ 10 = 34

340 ÷ 17 = 20

Therefore, the factors of 340 are: 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340.

Prime Factors and Prime Factorization

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 340 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

340 ÷ 2 = 170

170 ÷ 2 = 85

85 ÷ 5 = 17

17 ÷ 17 = 1

The prime factors of 340 are 2, 5, and 17.

The prime factorization of 340 is: 2² × 5 × 17.

Factor Tree

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows

Step 1: Firstly, 340 is divided by 2 to get 170.

Step 2: Now divide 170 by 2 to get 85.

Step 3: Then divide 85 by 5 to get 17. Here, 17 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 340 is: 2² × 5 × 17.

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 340: (1, 340), (2, 170), (4, 85), (5, 68), (10, 34), and (17, 20).

Negative factor pairs of 340: (-1, -340), (-2, -170), (-4, -85), (-5, -68), (-10, -34), and (-17, -20).

Common Mistakes and How to Avoid Them in Factors of 340

Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.

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Problem 1

There are 10 cakes and 340 pieces of decoration. How will they divide the decorations equally?

Okay, lets begin

They will get 34 pieces of decoration each.

Explanation

To divide the decorations equally, we need to divide the total pieces with the number of cakes.

340/10 = 34

Well explained 👍

Problem 2

A hall is rectangular, the length of the hall is 20 meters and the total area is 340 square meters. Find the width.

Okay, lets begin

17 meters.

Explanation

To find the width of the hall, we use the formula,

Area = length × width

340 = 20 × width

To find the value of width, we need to shift 20 to the left side.

340/20 = width

Width = 17.

Well explained 👍

Problem 3

There are 34 boxes and 340 pens. How many pens will be in each box?

Okay, lets begin

Each box will have 10 pens.

Explanation

To find the pens in each box, divide the total pens with the boxes.

340/34 = 10

Well explained 👍

Problem 4

In a club, there are 340 members, and 5 teams. How many members are there in each team?

Okay, lets begin

There are 68 members in each team.

Explanation

Dividing the members with the total teams, we will get the number of members in each team.

340/5 = 68

Well explained 👍

Problem 5

340 plants need to be arranged in 17 rows. How many plants will go in each row?

Okay, lets begin

Each row will have 20 plants.

Explanation

Divide total plants with rows.

340/17 = 20

Well explained 👍

FAQs on Factors of 340

1.What are the factors of 340?

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340 are the factors of 340.

2.Mention the prime factors of 340.

The prime factors of 340 are 2² × 5 × 17.

3.Is 340 a multiple of 5?

4.Mention the factor pairs of 340?

(1, 340), (2, 170), (4, 85), (5, 68), (10, 34), and (17, 20) are the factor pairs of 340.

5.What is the square of 340?

Important Glossaries for Factors of 340

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, and 340.
     
  • Prime factors: The factors which are prime numbers. For example, 2, 5, and 17 are prime factors of 340.
     
  • 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 340 are (1, 340), (2, 170), etc.
     
  • Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 340 is 2² × 5 × 17.
     
  • Multiples: A multiple of a number is the product of that number and an integer. For example, 340 is a multiple of 5.

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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.

Fun Fact

: She loves to read number jokes and games.