123 LearnersLast updated on May 26th, 2025
Factors of 1358
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 1358, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1358?
The numbers that divide 1358 evenly are known as factors of 1358.
A factor of 1358 is a number that divides the number without remainder.
The factors of 1358 are 1, 2, 679, and 1358.
Negative factors of 1358: -1, -2, -679, and -1358.
Prime factors of 1358: 2 and 679.
Prime factorization of 1358: 2 × 679.
The sum of factors of 1358: 1 + 2 + 679 + 1358 = 2040
How to Find Factors of 1358?
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 are multiplied to give 1358. Identifying the numbers which are multiplied to get the number 1358 is the multiplication method.
Step 1: Multiply 1358 by 1, 1358 × 1 = 1358.
Step 2: Check for other numbers that give 1358 after multiplying: 2 × 679 = 1358
Therefore, the positive factor pairs of 1358 are: (1, 1358) and (2, 679).
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 as whole numbers as factors. Factors can be calculated by following the simple division method
Step 1: Divide 1358 by 1, 1358 ÷ 1 = 1358.
Step 2: Continue dividing 1358 by the numbers until the remainder becomes 0.
1358 ÷ 1 = 1358
1358 ÷ 2 = 679
Therefore, the factors of 1358 are: 1, 2, 679, 1358.
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 1358 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1358 ÷ 2 = 679
679 ÷ 679 = 1
The prime factors of 1358 are 2 and 679.
The prime factorization of 1358 is: 2 × 679.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1358 is divided by 2 to get 679.
Step 2: Now divide 679 by 679 to get 1. Here, 679 is a prime number, and it cannot be divided anymore. So, the prime factorization of 1358 is: 2 × 679.
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 1358: (1, 1358) and (2, 679).
Negative factor pairs of 1358: (-1, -1358) and (-2, -679).
Common Mistakes and How to Avoid Them in Factors of 1358
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 1358, 1 and 1358 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, so always check whether you have mentioned negative factors.
For example, the factors of 1358 include -1, -2, -679, etc.
Mistake 3
Including Fractions
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 is a factor because 1358/1.5 = 905.333, 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 1358 are prime numbers.
For example, 2 and 679 are the prime factors of 1358, but it has other factors like 1 and 1358.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1358 as 2 × 679 and missing key factors.
Factors of 1358 Examples
Problem 1
There are 2 teams and 1358 candies. How will they divide them equally?
They will get 679 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of teams.
1358/2 = 679
Problem 2
A wall is rectangular, with a height of 2 meters and a total area of 1358 square meters. Find the width?
679 meters.
Explanation
To find the width of the wall, we use the formula,
Area = height × width
1358 = 2 × width
To find the value of width, we need to shift 2 to the left side.
1358/2 = width
Width = 679.
Problem 3
There are 679 seats and 1358 people. How many people will sit on each seat if divided equally?
Each seat will have 2 people.
Explanation
To find the people per seat, divide the total people by the seats.
1358/679 = 2
Problem 4
In a theater, there are 1358 chairs arranged in 2 rows. How many chairs are there in each row?
There are 679 chairs in each row.
Explanation
Dividing the chairs by the total rows, we will get the number of chairs in each row.
1358/2 = 679
Problem 5
1358 pages need to be bound into 2 volumes. How many pages will go in each volume?
Each volume has 679 pages.
Explanation
Divide total pages by volumes.
1358/2 = 679
FAQs on Factors of 1358
1.What are the factors of 1358?
2.Mention the prime factors of 1358.
3.Is 1358 a multiple of 2?
4.Mention the factor pairs of 1358?
5.What is the square of 1358?
6.How can children in India use numbers in everyday life to understand Factors of 1358?
7.What are some fun ways kids in India can practice Factors of 1358 with numbers?
8.What role do numbers and Factors of 1358 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 1358 skills?
Important Glossaries for Factors of 1358
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1358 are 1, 2, 679, and 1358.
- Prime factors: The factors which are prime numbers. For example, 2 and 679 are prime factors of 1358.
- 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 1358 are (1, 1358) and (2, 679).
- Prime factorization: The expression of a number as a product of its prime factors. For 1358, the prime factorization is 2 × 679.
- Negative factors: Factors that are negative counterparts of positive factors. For example, -1, -2, -679, and -1358 are negative factors of 1358.
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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.
