120 LearnersLast updated on May 26th, 2025
Factors of 701
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.
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
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
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.
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.
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.
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).
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
Forgetting the number itself and 1 is a factor
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.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 701 consist of -1 and -701.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 701/1.5 is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 701 are prime numbers.
For example, 701 is a prime number, and it is its own factor.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing incorrect factors.
For example, not recognizing 701 as prime and assuming it can be factorized further.
Factors of 701 Examples
Problem 1
There are 701 apples and 1 basket. How many apples will fit into the basket?
All 701 apples will fit into the basket.
Explanation
Since there is only one basket, you place all apples into it.
701/1 = 701
Problem 2
A line of 701 meters is to be divided into 1 equal section. What is the length of each section?
701 meters.
Explanation
To divide the line into equal sections, we divide the total length by the number of sections,
701/1 = 701
Problem 3
There are 701 pages in a book and 1 bookmark. How many pages can each bookmark mark?
The bookmark can mark all 701 pages.
Explanation
To find the number of pages each bookmark can mark,
701/1 = 701
Problem 4
In a tournament, there are 701 players. If there is only 1 prize, how many players will win?
Only 1 player will win.
Explanation
Divide the total number of players by the number of prizes,
701/1 = 701
Problem 5
701 chairs need to be placed in 1 row. How many chairs will be in the row?
All 701 chairs will be in the row.
Explanation
Place all chairs in the one row available,
701/1 = 701
FAQs on Factors of 701
1.What are the factors of 701?
2.Is 701 a prime number?
3.Is 701 a multiple of 1?
4.Mention the factor pair of 701?
5.What is the square of 701?
6.How can children in India use numbers in everyday life to understand Factors of 701?
7.What are some fun ways kids in India can practice Factors of 701 with numbers?
8.What role do numbers and Factors of 701 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 701 skills?
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
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.
