Factors of 740
2026-02-28 13:13 Diff
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Last updated on December 12, 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 740, how they are used in real life, and tips to learn them quickly.

What are the Factors of 740?

The numbers that divide 740 evenly are known as factors of 740.

A factor of 740 is a number that divides the number without a remainder.

The factors of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, and 740.

Negative factors of 740: -1, -2, -4, -5, -10, -20, -37, -74, -148, -185, -370, and -740.

Prime factors of 740: 2, 5, and 37.

Prime factorization of 740: 2 × 2 × 5 × 37.

The sum of factors of 740: 1 + 2 + 4 + 5 + 10 + 20 + 37 + 74 + 148 + 185 + 370 + 740 = 1596

How to Find Factors of 740?

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 740. Identifying the numbers which are multiplied to get the number 740 is the multiplication method.

Step 1: Multiply 740 by 1, 740 × 1 = 740.

Step 2: Check for other numbers that give 740 after multiplying

2 × 370 = 740

4 × 185 = 740

5 × 148 = 740

10 × 74 = 740

20 × 37 = 740

Therefore, the positive factor pairs of 740 are: (1, 740), (2, 370), (4, 185), (5, 148), (10, 74), (20, 37).

For every positive factor, there is a negative factor.

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Finding Factors Using Division Method

Dividing the given numbers with the 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 740 by 1, 740 ÷ 1 = 740.

Step 2: Continue dividing 740 by the numbers until the remainder becomes 0.

740 ÷ 1 = 740

740 ÷ 2 = 370

740 ÷ 4 = 185

740 ÷ 5 = 148

740 ÷ 10 = 74

740 ÷ 20 = 37

Therefore, the factors of 740 are: 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740.

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: In this process, prime factors of 740 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.

740 ÷ 2 = 370

370 ÷ 2 = 185

185 ÷ 5 = 37

37 ÷ 37 = 1

The prime factors of 740 are 2, 5, and 37.

The prime factorization of 740 is: 2 × 2 × 5 × 37.

Factor Tree

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

Step 1: Firstly, 740 is divided by 2 to get 370.

Step 2: Now divide 370 by 2 to get 185.

Step 3: Then divide 185 by 5 to get 37. Here, 37 is the smallest prime number that cannot be divided anymore.

So, the prime factorization of 740 is: 2 × 2 × 5 × 37.

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 740: (1, 740), (2, 370), (4, 185), (5, 148), (10, 74), (20, 37).

Negative factor pairs of 740: (-1, -740), (-2, -370), (-4, -185), (-5, -148), (-10, -74), (-20, -37).

Common Mistakes and How to Avoid Them in Factors of 740

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

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Problem 1

There are 20 employees and 740 tasks. How will they divide the tasks equally?

Okay, lets begin

They will get 37 tasks each.

Explanation

To divide the tasks equally, we need to divide the total tasks by the number of employees.

740/20 = 37

Well explained 👍

Problem 2

A garden is rectangular, the length of the garden is 37 meters, and the total area is 740 square meters. Find the width?

Okay, lets begin

20 meters.

Explanation

To find the width of the garden, we use the formula, Area = length × width 740 = 37 × width

To find the value of width, we need to shift 37 to the left side.

740/37 = width

Width = 20.

Well explained 👍

Problem 3

There are 148 gift boxes and 740 candies. How many candies will be in each gift box?

Okay, lets begin

Each gift box will have 5 candies.

Explanation

To find the candies in each gift box, divide the total candies by the gift boxes.

740/148 = 5

Well explained 👍

Problem 4

In a tournament, there are 740 participants, and 10 teams. How many participants are there in each team?

Okay, lets begin

There are 74 participants in each team.

Explanation

Dividing the participants by the total teams, we will get the number of participants in each team.

740/10 = 74

Well explained 👍

Problem 5

740 books need to be arranged in 37 shelves. How many books will go on each shelf?

Okay, lets begin

Each of the shelves has 20 books.

Explanation

Divide total books by shelves.

740/37 = 20

Well explained 👍

FAQs on Factors of 740

1.What are the factors of 740?

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740 are the factors of 740.

2.Mention the prime factors of 740.

The prime factors of 740 are 2 × 2 × 5 × 37.

3.Is 740, a multiple of 4?

4.Mention the factor pairs of 740?

(1, 740), (2, 370), (4, 185), (5, 148), (10, 74), (20, 37) are the factor pairs of 740.

5.What is the square of 740?

Important Glossaries for Factor of 740

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, and 740.
  • Prime factors: The factors which are prime numbers. For example, 2, 5, and 37 are prime factors of 740.
  • 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 740 are (1, 740), (2, 370), etc.
  • Prime factorization: The process of expressing a number as the product of its prime factors, for example, 740 = 2 × 2 × 5 × 37.
  • Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number, such as 2 × 370 = 740.

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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.