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 1358, how they are used in real life, and tips to learn them quickly.
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
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 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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 2 teams and 1358 candies. How will they divide them equally?
They will get 679 candies each.
To divide the candies equally, we need to divide the total candies by the number of teams.
1358/2 = 679
A wall is rectangular, with a height of 2 meters and a total area of 1358 square meters. Find the width?
679 meters.
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.
There are 679 seats and 1358 people. How many people will sit on each seat if divided equally?
Each seat will have 2 people.
To find the people per seat, divide the total people by the seats.
1358/679 = 2
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.
Dividing the chairs by the total rows, we will get the number of chairs in each row.
1358/2 = 679
1358 pages need to be bound into 2 volumes. How many pages will go in each volume?
Each volume has 679 pages.
Divide total pages by volumes.
1358/2 = 679
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.