107 LearnersLast updated on May 26th, 2025
Factors of 1178
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 1178, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1178?
The numbers that divide 1178 evenly are known as factors of 1178. A factor of 1178 is a number that divides the number without remainder. The factors of 1178 are 1, 2, 589, and 1178.
Negative factors of 1178: -1, -2, -589, and -1178.
Prime factors of 1178: 2 and 589.
Prime factorization of 1178: 2 × 589.
The sum of factors of 1178: 1 + 2 + 589 + 1178 = 1770
How to Find Factors of 1178?
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 1178. Identifying the numbers which are multiplied to get the number 1178 is the multiplication method.
Step 1: Multiply 1178 by 1, 1178 × 1 = 1178.
Step 2: Check for other numbers that give 1178 after multiplying 2 × 589 = 1178
Therefore, the positive factor pairs of 1178 are: (1, 1178) and (2, 589). 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 1178 by 1, 1178 ÷ 1 = 1178.
Step 2: Continue dividing 1178 by the numbers until the remainder becomes 0.
1178 ÷ 1 = 1178
1178 ÷ 2 = 589
Therefore, the factors of 1178 are: 1, 2, 589, and 1178.
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 1178 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1178 ÷ 2 = 589
589 ÷ 589 = 1
The prime factors of 1178 are 2 and 589. The prime factorization of 1178 is: 2 × 589.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1178 is divided by 2 to get 589. Here, 589 is a prime number, and it cannot be divided anymore. So, the prime factorization of 1178 is: 2 × 589.
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 1178: (1, 1178) and (2, 589).
- Negative factor pairs of 1178: (-1, -1178) and (-2, -589).
Common Mistakes and How to Avoid Them in Factors of 1178
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 word. Always remember to include 1 and the number itself. For example, in factors of 1178, 1 and 1178 are also factors.
Factors of 1178 Examples
Problem 1
A garden has 2 rows of 1178 flowers. How many flowers are in each row?
Each row has 589 flowers.
Explanation
To divide the flowers equally, we need to divide the total flowers by the number of rows.
1178/2 = 589
Problem 2
A bookshelf has 1178 books, and each shelf holds 589 books. How many shelves are there?
There are 2 shelves.
Explanation
To find the number of shelves, we divide the total number of books by the number of books each shelf holds.
1178/589 = 2
Problem 3
A farmer has 1178 apples and wants to pack them into crates holding 589 apples each. How many crates does he need?
He needs 2 crates.
Explanation
To find the number of crates, divide the total apples by the number of apples per crate.
1178/589 = 2
Problem 4
A company has 1178 employees, and each team has 2 employees. How many teams are there?
There are 589 teams.
Explanation
Dividing the total employees by the number of employees per team gives the number of teams.
1178/2 = 589
Problem 5
1178 pages need to be printed, and each printer can print 589 pages. How many printers are needed?
2 printers are needed.
Explanation
Divide the total pages by pages per printer.
1178/589 = 2
FAQs on Factors of 1178
1.What are the factors of 1178?
2.Mention the prime factors of 1178.
3.Is 1178 a multiple of 2?
4.Mention the factor pairs of 1178.
5.What is the square of 1178?
Important Glossaries for Factor of 1178
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1178 are 1, 2, 589, and 1178.
- Prime factors: The factors which are prime numbers. For example, 2 and 589 are prime factors of 1178.
- 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 1178 are (1, 1178) and (2, 589).
- Multiplication method: A technique used to find factor pairs by identifying numbers that multiply to the original number.
- Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 1178 is 2 × 589.
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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.
