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Last updated on May 26th, 2025

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Factors of 1770

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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 1770, how they are used in real life, and tips to learn them quickly.

Factors of 1770 for US Students
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What are the Factors of 1770?

The numbers that divide 1770 evenly are known as factors of 1770.

 

A factor of 1770 is a number that divides the number without a remainder.

 

The factors of 1770 are 1, 2, 3, 5, 6, 10, 15, 30, 59, 118, 177, 295, 354, 590, 885, and 1770.

 

Negative factors of 1770: -1, -2, -3, -5, -6, -10, -15, -30, -59, -118, -177, -295, -354, -590, -885, and -1770.

 

Prime factors of 1770: 2, 3, 5, and 59.

 

Prime factorization of 1770: 2 × 3 × 5 × 59.

 

The sum of factors of 1770: 1 + 2 + 3 + 5 + 6 + 10 + 15 + 30 + 59 + 118 + 177 + 295 + 354 + 590 + 885 + 1770 = 4320

factors of 1770

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How to Find Factors of 1770?

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

 

  • Finding factors using multiplication
  • Finding factors using the division method
  • Prime factors and prime factorization
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Finding Factors Using Multiplication

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1770. Identifying the numbers which are multiplied to get the number 1770 is the multiplication method.

 

Step 1: Multiply 1770 by 1, 1770 × 1 = 1770.

 

Step 2: Check for other numbers that give 1770 after multiplying     

2 × 885 = 1770     

3 × 590 = 1770     

5 × 354 = 1770     

6 × 295 = 1770     

10 × 177 = 1770     

15 × 118 = 1770     

30 × 59 = 1770

 

Therefore, the positive factor pairs of 1770 are: (1, 1770), (2, 885), (3, 590), (5, 354), (6, 295), (10, 177), (15, 118), and (30, 59).

 

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 1770 by 1, 1770 ÷ 1 = 1770.

 

Step 2: Continue dividing 1770 by the numbers until the remainder becomes 0.

1770 ÷ 1 = 1770

1770 ÷ 2 = 885

1770 ÷ 3 = 590

1770 ÷ 5 = 354

1770 ÷ 6 = 295

1770 ÷ 10 = 177

1770 ÷ 15 = 118

1770 ÷ 30 = 59

 

Therefore, the factors of 1770 are: 1, 2, 3, 5, 6, 10, 15, 30, 59, 118, 177, 295, 354, 590, 885, and 1770.

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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
  • Using factor tree

 

Using Prime Factorization: In this process, prime factors of 1770 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1770 ÷ 2 = 885

885 ÷ 3 = 295

295 ÷ 5 = 59

59 ÷ 59 = 1

 

The prime factors of 1770 are 2, 3, 5, and 59.

 

The prime factorization of 1770 is: 2 × 3 × 5 × 59.

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Factor Tree

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

 

Step 1: Firstly, 1770 is divided by 2 to get 885.

 

Step 2: Now divide 885 by 3 to get 295.

 

Step 3: Then divide 295 by 5 to get 59. Here, 59 is the smallest prime number that cannot be divided anymore.

 

So, the prime factorization of 1770 is: 2 × 3 × 5 × 59.

 

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 1770: (1, 1770), (2, 885), (3, 590), (5, 354), (6, 295), (10, 177), (15, 118), and (30, 59).

 

Negative factor pairs of 1770: (-1, -1770), (-2, -885), (-3, -590), (-5, -354), (-6, -295), (-10, -177), (-15, -118), and (-30, -59).

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Common Mistakes and How to Avoid Them in Factors of 1770

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

Mistake 1

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Forgetting the number itself and 1 is a factor

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Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every number. Always remember to include 1 and the number itself.

 

For example, in factors of 1770, 1 and 1770 are also factors.

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Factors of 1770 Examples

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Problem 1

There are 30 students, and each has 59 candies. How many candies are there in total?

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There are 1770 candies in total.

Explanation

To find the total candies, we multiply the number of students by the number of candies each student has.

30 × 59 = 1770

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Problem 2

A garden is rectangular, the width of the garden is 10 meters and the total area is 1770 square meters. Find the length?

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177 meters.

Explanation

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

Area = length × width    

 1770 = length × 10     

To find the value of the length, we need to divide 1770 by 10.     

1770/10 = length     

Length = 177.

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Problem 3

There are 1770 toys and 59 boxes. How many toys will be in each box?

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Each box will have 30 toys.

Explanation

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

1770/59 = 30

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Problem 4

In a company, there are 1770 employees, and 6 departments. How many employees are there in each department?

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There are 295 employees in each department.

Explanation

Dividing the employees by the total departments, we will get the number of employees in each department.     

1770/6 = 295

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Problem 5

1770 chairs need to be arranged in 15 sections. How many chairs will go in each section?

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Each of the sections has 118 chairs.

Explanation

Divide total chairs by sections.     

1770/15 = 118

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FAQs on Factors of 1770

1.What are the factors of 1770?

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2.Mention the prime factors of 1770.

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3.Is 1770 a multiple of 10?

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4.Mention the factor pairs of 1770?

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5.What is the square of 1770?

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6.How can children in United States use numbers in everyday life to understand Factors of 1770?

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7.What are some fun ways kids in United States can practice Factors of 1770 with numbers?

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8.What role do numbers and Factors of 1770 play in helping children in United States develop problem-solving skills?

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9.How can families in United States create number-rich environments to improve Factors of 1770 skills?

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Professor Greenline from BrightChamps

Important Glossaries for Factors of 1770

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1770 are 1, 2, 3, 5, 6, 10, 15, 30, 59, 118, 177, 295, 354, 590, 885, and 1770.

 

  • Prime factors: The factors which are prime numbers. For example, 2, 3, 5, and 59 are prime factors of 1770.

 

  • 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 1770 are (1, 1770), (2, 885), etc.

 

  • Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1770 is 2 × 3 × 5 × 59.

 

  • Multiplication method: A way to find factors by identifying pairs of numbers that multiply to give the original number. For example, using this method to find factors of 1770.
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About BrightChamps in United States

At BrightChamps, we believe numbers are more than symbols—they unlock a world full of possibilities! Our goal is to support kids throughout the United States in mastering key math skills, such as today’s Factors of 1770, with a special emphasis on understanding factors—in a way that’s engaging, fun, and easy to grasp. Whether your child is calculating the speed of a roller coaster at Disney World, tracking scores at a Little League baseball game, or budgeting their allowance to buy cool gadgets, understanding numbers builds their confidence for everyday tasks. Our hands-on lessons make learning enjoyable and straightforward. Since kids in the USA learn in unique ways, we customize our methods to match each child’s style. From the busy streets of New York City to the sunny beaches of California, BrightChamps makes math come alive, bringing it closer to children everywhere. Let’s turn factors into an exciting part of every child’s math adventure!
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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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Fun Fact

: She loves to read number jokes and games.

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