Factors of 1370
2026-02-28 08:46 Diff
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Last updated on December 12, 2025

Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 1370, how they are used in real life, and the tips to learn them quickly.

What are the Factors of 1370?

The numbers that divide 1370 evenly are known as factors of 1370.

A factor of 1370 is a number that divides the number without remainder.

The factors of 1370 are 1, 2, 5, 10, 137, 274, 685, and 1370.

Negative factors of 1370: -1, -2, -5, -10, -137, -274, -685, and -1370.

Prime factors of 1370: 2, 5, and 137.

Prime factorization of 1370: 2 × 5 × 137.

The sum of factors of 1370: 1 + 2 + 5 + 10 + 137 + 274 + 685 + 1370 = 2484

How to Find Factors of 1370?

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

  • Finding factors using multiplication
     
  • Finding factors using 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 1370. Identifying the numbers which are multiplied to get the number 1370 is the multiplication method.

Step 1: Multiply 1370 by 1, 1370 × 1 = 1370.

Step 2: Check for other numbers that give 1370 after multiplying    

2 × 685 = 1370    

5 × 274 = 1370    

10 × 137 = 1370

Therefore, the positive factor pairs of 1370 are: (1, 1370), (2, 685), (5, 274), (10, 137).

All these factor pairs result in 1370.

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 a whole numbers as factors. Factors can be calculated by following a simple division method

Step 1: Divide 1370 by 1, 1370 ÷ 1 = 1370.

Step 2: Continue dividing 1370 by the numbers until the remainder becomes 0.

1370 ÷ 1 = 1370

1370 ÷ 2 = 685

1370 ÷ 5 = 274

1370 ÷ 10 = 137

Therefore, the factors of 1370 are: 1, 2, 5, 10, 137, 274, 685, 1370.

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 1370 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1370 ÷ 2 = 685

685 ÷ 5 = 137

137 ÷ 137 = 1

The prime factors of 1370 are 2, 5, and 137.

The prime factorization of 1370 is: 2 × 5 × 137.

Factor Tree

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

Step 1: Firstly, 1370 is divided by 2 to get 685.

Step 2: Now divide 685 by 5 to get 137. Step 3: Since 137 is a prime number, the factorization ends here. So, the prime factorization of 1370 is: 2 × 5 × 137.

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 1370: (1, 1370), (2, 685), (5, 274), and (10, 137).

Negative factor pairs of 1370: (-1, -1370), (-2, -685), (-5, -274), and (-10, -137).

Common Mistakes and How to Avoid Them in Factors of 1370

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

A group of 10 friends wants to buy 1370 candies equally. How many candies will each friend get?

Okay, lets begin

Each friend will get 137 candies.

Explanation

To divide the candies equally, we need to divide the total candies by the number of friends.

1370/10 = 137

Well explained 👍

Problem 2

A rectangular garden has a length of 137 meters and an area of 1370 square meters. What is the width of the garden?

Okay, lets begin

10 meters.

Explanation

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

Area = length × width    

1370 = 137 × width

To find the value of width, we need to shift 137 to the left side.    

1370/137 = width   

Width = 10.

Well explained 👍

Problem 3

There are 1370 apples and 5 boxes. How many apples will be in each box?

Okay, lets begin

Each box will have 274 apples.

Explanation

To find the apples in each box, divide the total apples by the number of boxes.    

1370/5 = 274

Well explained 👍

Problem 4

A school has 1370 students and 137 classes. How many students are there in each class?

Okay, lets begin

There are 10 students in each class.

Explanation

Dividing the students by the total number of classes, we will get the number of students in each class.    

1370/137 = 10

Well explained 👍

Problem 5

A library has 1370 books that need to be placed on 2 shelves. How many books will go on each shelf?

Okay, lets begin

Each shelf will have 685 books.

Explanation

Divide the total books by the number of shelves.    

1370/2 = 685

Well explained 👍

FAQs on Factors of 1370

1.What are the factors of 1370?

1, 2, 5, 10, 137, 274, 685, and 1370 are the factors of 1370.

2.Mention the prime factors of 1370.

The prime factors of 1370 are 2, 5, and 137.

3.Is 1370 a multiple of 137?

4.Mention the factor pairs of 1370?

(1, 1370), (2, 685), (5, 274), and (10, 137) are the factor pairs of 1370.

5.What is the square of 1370?

The square of 1370 is 1,876,900.

Important Glossaries for Factors of 1370

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1370 are 1, 2, 5, 10, 137, 274, 685, and 1370.
     
  • Prime factors: The factors which are prime numbers. For example, 2, 5, and 137 are prime factors of 1370.
     
  • 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 1370 are (1, 1370), (2, 685), etc.
     
  • Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1370 is 2 × 5 × 137.
     
  • Multiple: A number that can be divided by another number without leaving a remainder. For example, 1370 is a multiple of 137.

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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.