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Last updated on May 26th, 2025

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Factors of 701

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

Factors of 701 for Indian Students
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What are the Factors of 701?

The numbers that divide 701 evenly are known as factors of 701.

 

A factor of 701 is a number that divides the number without remainder.

 

The factors of 701 are 1 and 701.

 

Negative factors of 701: -1 and -701.

 

Prime factor of 701: 701 (since 701 is a prime number).

 

Prime factorization of 701: 701.

 

The sum of factors of 701: 1 + 701 = 702

factors of 701

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How to Find Factors of 701?

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

 

  • Finding factors using multiplication
     
  • Finding factors using division method
     
  • 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 701. Identifying the numbers which are multiplied to get the number 701 is the multiplication method.

 

Step 1: Multiply 701 by 1, 701 × 1 = 701. Since 701 is a prime number, it has no other pairs aside from (1, 701).

 

Therefore, the positive factor pairs of 701 are: (1, 701). For every positive factor, there is a negative factor.

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Finding Factors Using Division Method

Dividing the given number by whole numbers until the remainder becomes zero and listing out the numbers that result in whole numbers as factors. Factors can be calculated by following a simple division method

 

Step 1: Divide 701 by 1, 701 ÷ 1 = 701. Since 701 is a prime number, it cannot be divided by any number other than 1 and itself without leaving a remainder.

 

Therefore, the factors of 701 are: 1 and 701.

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

 

701 is a prime number, so its only prime factor is 701 itself.

 

The prime factorization of 701 is: 701.

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Factor Tree

The factor tree is the graphical representation of breaking down any number into prime factors. However, since 701 is a prime number, it cannot be broken down further using a factor tree. So, the prime factorization of 701 is: 701.

 

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 pair of 701: (1, 701).

 

Negative factor pair of 701: (-1, -701).

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Common Mistakes and How to Avoid Them in Factors of 701

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 701, 1 and 701 are also factors.

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Factors of 701 Examples

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Problem 1

There are 701 apples and 1 basket. How many apples will fit into the basket?

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All 701 apples will fit into the basket.

Explanation

Since there is only one basket, you place all apples into it.

 

701/1 = 701

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Problem 2

A line of 701 meters is to be divided into 1 equal section. What is the length of each section?

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701 meters.

Explanation

To divide the line into equal sections, we divide the total length by the number of sections,

 

701/1 = 701

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Problem 3

There are 701 pages in a book and 1 bookmark. How many pages can each bookmark mark?

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The bookmark can mark all 701 pages.

Explanation

To find the number of pages each bookmark can mark,

 

701/1 = 701

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Problem 4

In a tournament, there are 701 players. If there is only 1 prize, how many players will win?

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Only 1 player will win.

Explanation

Divide the total number of players by the number of prizes,

 

701/1 = 701

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Problem 5

701 chairs need to be placed in 1 row. How many chairs will be in the row?

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All 701 chairs will be in the row.

Explanation

Place all chairs in the one row available,

 

701/1 = 701

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FAQs on Factors of 701

1.What are the factors of 701?

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2.Is 701 a prime number?

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3.Is 701 a multiple of 1?

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4.Mention the factor pair of 701?

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5.What is the square of 701?

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6.How can children in India use numbers in everyday life to understand Factors of 701?

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7.What are some fun ways kids in India can practice Factors of 701 with numbers?

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8.What role do numbers and Factors of 701 play in helping children in India develop problem-solving skills?

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9.How can families in India create number-rich environments to improve Factors of 701 skills?

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Important Glossaries for Factor of 701

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 701 are 1 and 701.
     
  • Prime factors: The factors which are prime numbers. For example, 701 is a prime factor of itself.
     
  • Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 701 is (1, 701).
     
  • Prime Number: A number greater than 1 that has no divisors other than 1 and itself. For example, 701 is a prime number.
     
  • Multiplication Method: A method to find factors by identifying pairs of numbers that can be multiplied to obtain the target number.
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About BrightChamps in India

At BrightChamps, numbers mean more than just digits—they open pathways to endless opportunities! We’re here to help children all over India grasp crucial math skills, focusing on today’s Factors of 701 with a special look at factors—in a way that’s enjoyable, simple, and interactive. Whether your child is calculating the speed of a train passing by, following scores in a cricket match, or managing their pocket money for new gadgets, knowing numbers helps build their confidence in daily life. Our hands-on lessons keep learning fun and easy. Since kids in India learn in many ways, we customize lessons to fit each learner. From Mumbai’s lively markets to Delhi’s vibrant streets, BrightChamps makes math meaningful and exciting all across India. Let’s turn factors into a fun part of every child’s math story!
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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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