125 LearnersLast updated on May 26th, 2025
Factors of 358
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 358, how they are used in real life, and tips to learn them quickly.
What are the Factors of 358?
The numbers that divide 358 evenly are known as factors of 358.
A factor of 358 is a number that divides the number without remainder.
The factors of 358 are 1, 2, 179, and 358.
Negative factors of 358: -1, -2, -179, and -358.
Prime factors of 358: 2 and 179.
Prime factorization of 358: 2 × 179.
The sum of factors of 358: 1 + 2 + 179 + 358 = 540
How to Find Factors of 358?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 multiply to give 358. Identifying the numbers which are multiplied to get the number 358 is the multiplication method.
Step 1: Multiply 358 by 1, 358 × 1 = 358.
Step 2: Check for other numbers that give 358 after multiplying 2 × 179 = 358
Therefore, the positive factor pairs of 358 are: (1, 358) and (2, 179). All these factor pairs result in 358.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with the 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 358 by 1, 358 ÷ 1 = 358.
Step 2: Continue dividing 358 by the numbers until the remainder becomes 0.
358 ÷ 1 = 358
358 ÷ 2 = 179
Therefore, the factors of 358 are: 1, 2, 179, and 358.
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 358 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
358 ÷ 2 = 179
179 ÷ 179 = 1
The prime factors of 358 are 2 and 179.
The prime factorization of 358 is: 2 × 179.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 358 is divided by 2 to get 179.
Step 2: 179 is already a prime number and cannot be divided further. So, the prime factorization of 358 is: 2 × 179.
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 358: (1, 358) and (2, 179).
Negative factor pairs of 358: (-1, -358) and (-2, -179).
Common Mistakes and How to Avoid Them in Factors of 358
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 358, 1 and 358 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 358 include -1, -2, -179, 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 358/1.5 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 358 are prime numbers.
For example, 2 and 179 are the prime factors of 358, but it has other factors like 1 and 358.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing wrong factors.
For example, not breaking 358 as 2 × 179 and missing all the key factors.
Factors of 358 Examples
Problem 1
There are 2 teams and 358 apples. How will they divide them equally?
They will get 179 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of teams.
358/2 = 179
Problem 2
A field is rectangular, the length of the field is 179 meters and the total area is 358 square meters. Find the width?
2 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
358 = 179 × width
To find the value of width, we need to shift 179 to the left side.
358/179 = width
Width = 2.
Problem 3
There are 358 candies and 179 gift bags. How many candies will be in each bag?
Each bag will have 2 candies.
Explanation
To find the candies in each bag, divide the total candies by the bags.
358/179 = 2
Problem 4
In a class, there are 358 students, and they are divided into 2 sections. How many students are there in each section?
There are 179 students in each section.
Explanation
Dividing the students by the total sections, we will get the number of students in each section.
358/2 = 179
Problem 5
358 books need to be arranged in 1 shelf. How many books will go on the shelf?
All 358 books will go on the shelf.
Explanation
All books will go on one shelf as the shelf can hold all 358 books.
FAQs on Factors of 358
1.What are the factors of 358?
2.Mention the prime factors of 358.
3.Is 358 a multiple of 2?
4.Mention the factor pairs of 358?
5.What is the square of 358?
6.How can children in Saudi Arabia use numbers in everyday life to understand Factors of 358?
7.What are some fun ways kids in Saudi Arabia can practice Factors of 358 with numbers?
8.What role do numbers and Factors of 358 play in helping children in Saudi Arabia develop problem-solving skills?
9.How can families in Saudi Arabia create number-rich environments to improve Factors of 358 skills?
Important Glossaries for Factors of 358
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 358 are 1, 2, 179, and 358.
- Prime factors: The factors which are prime numbers. For example, 2 and 179 are prime factors of 358.
- 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 358 are (1, 358) and (2, 179).
- Negative factors: Negative numbers that divide the given number without leaving a remainder. For example, the negative factors of 358 are -1, -2, -179, and -358.
- Prime factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 358 is 2 × 179.
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About BrightChamps in Saudi Arabia
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.
