BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon115 Learners

Last updated on May 30th, 2025

Math Whiteboard Illustration

Factors of 1601

Professor Greenline Explaining Math Concepts

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 1601, how they are used in real life, and the tips to learn them quickly.

Factors of 1601 for Vietnamese Students
Professor Greenline from BrightChamps

What are the Factors of 1601?

The numbers that divide 1601 evenly are known as factors of 1601.

 

A factor of 1601 is a number that divides the number without remainder.

 

The factors of 1601 are 1 and 1601.

 

Negative factors of 1601: -1 and -1601.

 

Prime factors of 1601: Since 1601 is a prime number, its only prime factors are itself.

 

Prime factorization of 1601: 1601 is a prime number, so it cannot be factorized further.

 

The sum of factors of 1601: 1 + 1601 = 1602

factors of 1601

Professor Greenline from BrightChamps

How to Find Factors of 1601?

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
Professor Greenline from BrightChamps

Finding Factors Using Multiplication

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1601. Since 1601 is a prime number, the only multiplication pair is:

 

Step 1: 1601 × 1 = 1601. 

 

Therefore, the positive factor pairs of 1601 are: (1, 1601). For every positive factor, there is a negative factor.

Professor Greenline from BrightChamps

Finding Factors Using Division Method

Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which results as a whole number as factors. Factors can be calculated by following a simple division method -

 

Step 1: Divide 1601 by 1, 1601 ÷ 1 = 1601.

 

Step 2: Check divisibility by other numbers up to the square root of 1601.

 

Since 1601 is not divisible by any other number, the factors are 1 and 1601.

Professor Greenline from BrightChamps

Prime Factors and Prime Factorization

Since 1601 is a prime number, it can only be divided by 1 and itself without leaving a remainder. Therefore, it has no prime factorization other than itself.

Professor Greenline from BrightChamps

Factor Tree

A factor tree is typically used to break down composite numbers into their prime factors.

Since 1601 is a prime number, it cannot be broken down further into a factor tree.

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 1601: (1, 1601)

Negative factor pairs of 1601: (-1, -1601)

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Factors of 1601

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

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Forgetting the number itself and 1 is a factor

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

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 1601, 1 and 1601 are factors.

Max from BrightChamps Saying "Hey"

Factors of 1601 Examples

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

Problem 1

There are 1601 students attending a lecture, and there are 1 lecture hall. How will they arrange it?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

All 1601 students will be in the one lecture hall.

Explanation

To arrange the students equally, we put all students in the available lecture hall.

1601/1 = 1601

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 2

A rectangular park has a perimeter of 1601 meters. If one side is 1 meter, find the length of the other side.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

800 meters.

Explanation

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

Perimeter = 2(length + width)

1601 = 2(1 + width)

Solving for width, we get width = 800 meters.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 3

There are 1601 pages in a book. If you read 1 page per day, how many days will it take to finish the book?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

It will take 1601 days to finish the book.

Explanation

To find the days needed, divide the total pages by the pages read per day.

1601/1 = 1601

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 4

1601 people are traveling by bus, and there is 1 bus. How many people will be on each bus?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

All 1601 people will be on the one bus.

Explanation

Dividing the people by the number of buses gives the number of people per bus.

1601/1 = 1601

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 5

There are 1601 apples to be packed into 1 crate. How many apples will go into the crate?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

All 1601 apples will go into the one crate.

Explanation

Divide the total apples by the number of crates.

1601/1 = 1601

Max from BrightChamps Praising Clear Math Explanations
Ray Thinking Deeply About Math Problems

FAQs on Factors of 1601

1.What are the factors of 1601?

Math FAQ Answers Dropdown Arrow

2.Is 1601 a prime number?

Math FAQ Answers Dropdown Arrow

3.Is 1601 a multiple of 2?

Math FAQ Answers Dropdown Arrow

4.Mention the factor pairs of 1601?

Math FAQ Answers Dropdown Arrow

5.What is the square of 1601?

Math FAQ Answers Dropdown Arrow

6.How can children in Vietnam use numbers in everyday life to understand Factors of 1601?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in Vietnam can practice Factors of 1601 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Factors of 1601 play in helping children in Vietnam develop problem-solving skills?

Math FAQ Answers Dropdown Arrow

9.How can families in Vietnam create number-rich environments to improve Factors of 1601 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Factors of 1601

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1601 are 1 and 1601.

     
  • Prime Number: A number greater than 1 that has no positive divisors other than 1 and itself. 1601 is a prime number.

     
  • 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 1601 are (1, 1601).

     
  • Negative Factors: Factors that are negative and multiply to give the original number. For 1601, they are -1 and -1601.

     
  • Prime Factorization: The expression of a number as the product of its prime factors. Since 1601 is a prime number, it is its own prime factorization.
Professor Greenline from BrightChamps

About BrightChamps in Vietnam

At BrightChamps, numbers are more than just figures—they unlock countless opportunities! Our mission is to guide children throughout Vietnam in mastering essential math skills, with today’s focus on Factors of 1601 and a special highlight on factors—in a way that’s fun, lively, and easy to understand. Whether your child is figuring out the speed of a roller coaster at Suoi Tien Theme Park, keeping score at a local football game, or managing their allowance to buy cool gadgets, strong number skills boost their everyday confidence. Our interactive lessons make learning simple and enjoyable. Since children in Vietnam learn in different styles, we personalize our approach to each child. From Ho Chi Minh City’s vibrant streets to the stunning views of Ha Long Bay, BrightChamps brings math to life across Vietnam. Let’s make factors an exciting part of every child’s learning journey!
Math Teacher Background Image
Math Teacher Image

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.

Math Teacher Fun Facts Image
Max, the Girl Character from BrightChamps

Fun Fact

: She loves to read number jokes and games.

INDONESIA - Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA - H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE - 60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA - 251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1) - Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2) - 143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai - BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom