Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
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.
Since there is only 1 teacher distributing the pencils, the student gets all 353 pencils.
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.
Since each of the 353 people gets one apple, all apples are distributed:
353/353 = 1 apple per person.
A library has 353 books and one shelf. How many books will be on the shelf?
All 353 books will be on the shelf.
Since there is only one shelf, all 353 books are placed there.
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.
Using the formula, Area = length × width,
we have 353 = 353 × width.
Therefore, width = 1.
There are 353 marbles and each child is supposed to receive one marble. How many children are there?
There are 353 children.
Since each child gets one marble, there are exactly 353 marbles for 353 children.
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.
: She loves to read number jokes and games.