119 LearnersLast updated on May 26th, 2025
Factors of 353
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 353, how they are used in real life, and tips to learn them quickly.
What are the Factors of 353?
The numbers that divide 353 evenly are known as factors of 353.
A factor of 353 is a number that divides the number without remainder.
The factors of 353 are 1 and 353.
Negative factors of 353: -1 and -353.
Prime factors of 353: 353.
Prime factorization of 353: 353 is a prime number, so it is itself a prime factor.
The sum of factors of 353: 1 + 353 = 354
How to Find Factors of 353?
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 353.
Since 353 is a prime number, the only multiplication pairs are: 1 × 353 = 353
Therefore, the positive factor pairs of 353 are: (1, 353).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number with whole numbers until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 353 by 1, 353 ÷ 1 = 353.
Step 2: Since 353 is a prime number, it cannot be divided evenly by any whole number other than 1 and itself.
Therefore, the factors of 353 are: 1 and 353.
Prime Factors and Prime Factorization
The factors can be found by dividing 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, since 353 is a prime number, it does not need further division and is already in its prime factor form.
The prime factors of 353 are just 353.
The prime factorization of 353 is: 353.
Factor Tree
Since 353 is a prime number, a factor tree for 353 is very simple. The factor tree would just show that 353 is a prime number and cannot be broken down further. So, the prime factorization of 353 is: 353.
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 353: (1, 353).
Negative factor pairs of 353: (-1, -353).
Common Mistakes and How to Avoid Them in Factors of 353
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 353, 1 and 353 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 353 consist of -1 and -353.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 353/1.5 ≈ 235.333, and it 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 353 must be prime numbers. While 353 is a prime number, it also has factors like 1.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not recognizing that 353 is a prime number and attempting unnecessary factorization.
Factors of 353 Examples
Problem 1
A classroom has 353 pencils and 1 teacher to distribute them. How many pencils will each student receive if all pencils are given to one student?
The student will receive all 353 pencils.
Explanation
Since there is only 1 teacher distributing the pencils, the student gets all 353 pencils.
Problem 2
A person has 353 apples and wants to give them to 353 people, one apple each. How many apples will be left?
No apples will be left.
Explanation
Since each of the 353 people gets one apple, all apples are distributed:
353/353 = 1 apple per person.
Problem 3
A library has 353 books and one shelf. How many books will be on the shelf?
All 353 books will be on the shelf.
Explanation
Since there is only one shelf, all 353 books are placed there.
Problem 4
A rectangular garden has an area of 353 square meters and one side length of 353 meters. What is the length of the other side?
The length of the other side is 1 meter.
Explanation
Using the formula, Area = length × width,
we have 353 = 353 × width.
Therefore, width = 1.
Problem 5
There are 353 marbles and each child is supposed to receive one marble. How many children are there?
There are 353 children.
Explanation
Since each child gets one marble, there are exactly 353 marbles for 353 children.
FAQs on Factors of 353
1.What are the factors of 353?
2.Mention the prime factors of 353.
3.Is 353 a multiple of 1?
4.Mention the factor pairs of 353.
5.What is the square of 353?
6.How can children in India use numbers in everyday life to understand Factors of 353?
7.What are some fun ways kids in India can practice Factors of 353 with numbers?
8.What role do numbers and Factors of 353 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 353 skills?
Important Glossaries for Factors of 353
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 353 are 1 and 353.
- Prime factors: The factors which are prime numbers. For example, 353 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 353 is (1, 353).
- Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 353 is a prime number.
- Division method: A method to find factors of a number by dividing it by whole numbers to find which divisions result in a whole number quotient.
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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.
