119 LearnersLast updated on May 26th, 2025
Factors of 355
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 355, how they are used in real life, and tips to learn them quickly.
What are the Factors of 355?
The numbers that divide 355 evenly are known as factors of 355.
A factor of 355 is a number that divides the number without remainder. The factors of 355 are 1, 5, 71, and 355.
Negative factors of 355: -1, -5, -71, and -355.
Prime factors of 355: 5 and 71.
Prime factorization of 355: 5 × 71.
The sum of factors of 355: 1 + 5 + 71 + 355 = 432
How to Find Factors of 355?
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 355. Identifying the numbers which are multiplied to get the number 355 is the multiplication method.
Step 1: Multiply 355 by 1, 355 × 1 = 355.
Step 2: Check for other numbers that give 355 after multiplying 5 × 71 = 355 Therefore, the positive factor pairs of 355 are: (1, 355) and (5, 71).
All these factor pairs result in 355.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following the simple division method
Step 1: Divide 355 by 1, 355 ÷ 1 = 355.
Step 2: Continue dividing 355 by the numbers until the remainder becomes 0.
355 ÷ 1 = 355
355 ÷ 5 = 71
Therefore, the factors of 355 are: 1, 5, 71, and 355.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. 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 355 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
355 ÷ 5 = 71
71 ÷ 71 = 1
The prime factors of 355 are 5 and 71.
The prime factorization of 355 is: 5 × 71.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 355 is divided by 5 to get 71.
Step 2: Now divide 71 by 71 to get 1. Here, 71 is a prime number, and cannot be divided anymore. So, the prime factorization of 355 is: 5 × 71.
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 355: (1, 355) and (5, 71).
Negative factor pairs of 355: (-1, -355) and (-5, -71).
Common Mistakes and How to Avoid Them in Factors of 355
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 355, 1 and 355 are also factors.
Mistake 2
Missing Negative Factors
We often only mention positive factors. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of 355 include -1, -5, -71, etc.
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 355/1.5 ≈ 236.67, 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 355 are prime numbers.
For example, 5 and 71 are the prime factors of 355, but it has other factors like 1 and 355.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing incorrect factors.
For example, not breaking 355 as 5 × 71 and missing key factors.
Factors of 355 Examples
Problem 1
There are 5 teams and 355 participants. How will they divide the participants equally?
Each team will have 71 participants.
Explanation
To divide the participants equally, we need to divide the total participants by the number of teams.
355/5 = 71
Problem 2
A rectangular garden has a length of 71 meters and a total area of 355 square meters. Find the width?
5 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
355 = 71 × width
To find the width, divide the area by the length.
355/71 = width
Width = 5.
Problem 3
There are 71 lockers and 355 keys. How many keys can be assigned to each locker?
Each locker will have 5 keys.
Explanation
To find the keys in each locker, divide the total keys by the lockers.
355/71 = 5
Problem 4
In a tournament, there are 355 players, and 71 groups. How many players are there in each group?
There are 5 players in each group.
Explanation
Dividing the players by the total groups gives the number of players in each group.
355/71 = 5
Problem 5
355 plants need to be arranged in 5 rows. How many plants will go in each row?
Each row will have 71 plants.
Explanation
Divide the total plants by the rows.
355/5 = 71
FAQs on Factors of 355
1.What are the factors of 355?
2.Mention the prime factors of 355.
3.Is 355 a multiple of 5?
4.Mention the factor pairs of 355?
5.What is the square of 355?
6.How can children in Canada use numbers in everyday life to understand Factors of 355?
7.What are some fun ways kids in Canada can practice Factors of 355 with numbers?
8.What role do numbers and Factors of 355 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 355 skills?
Important Glossaries for Factor of 355
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 355 are 1, 5, 71, and 355.
- Prime factors: The factors which are prime numbers. For example, 5 and 71 are prime factors of 355.
- 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 355 are (1, 355) and (5, 71).
- Prime factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 355 is 5 × 71.
- Multiple: A number that can be divided by another number without a remainder. For example, 355 is a multiple of 5.
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About BrightChamps in Canada
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.
