109 LearnersLast updated on May 26th, 2025
Factors of 845
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 845, how they are used in real life, and tips to learn them quickly.
What are the Factors of 845?
The numbers that divide 845 evenly are known as factors of 845.
A factor of 845 is a number that divides the number without remainder.
The factors of 845 are 1, 5, 13, 65, 169, and 845.
Negative factors of 845: -1, -5, -13, -65, -169, and -845.
Prime factors of 845: 5 and 13.
Prime factorization of 845: 5 × 13 × 13.
The sum of factors of 845: 1 + 5 + 13 + 65 + 169 + 845 = 1098
How to Find Factors of 845?
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 845. Identifying the numbers which are multiplied to get the number 845 is the multiplication method.
Step 1: Multiply 845 by 1, 845 × 1 = 845.
Step 2: Check for other numbers that give 845 after multiplying
5 × 169 = 845
13 × 65 = 845
Therefore, the positive factor pairs of 845 are: (1, 845), (5, 169), (13, 65).
All these factor pairs result in 845.
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 a simple division method
Step 1: Divide 845 by 1, 845 ÷ 1 = 845.
Step 2: Continue dividing 845 by the numbers until the remainder becomes 0.
845 ÷ 1 = 845
845 ÷ 5 = 169
845 ÷ 13 = 65
Therefore, the factors of 845 are: 1, 5, 13, 65, 169, 845.
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 845 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
845 ÷ 5 = 169
169 ÷ 13 = 13
13 ÷ 13 = 1
The prime factors of 845 are 5 and 13.
The prime factorization of 845 is: 5 × 13 × 13.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 845 is divided by 5 to get 169.
Step 2: Now divide 169 by 13 to get 13. Here, 13 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 845 is: 5 × 13 × 13.
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 845: (1, 845), (5, 169), (13, 65).
- Negative factor pairs of 845: (-1, -845), (-5, -169), (-13, -65).
Common Mistakes and How to Avoid Them in Factors of 845
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 845, 1 and 845 are also factors.
Factors of 845 Examples
Problem 1
There are 5 runners and 845 meters to cover. How many meters will each runner need to run if they split it equally?
Each runner will run 169 meters.
Explanation
To divide the distance equally, we need to divide the total meters by the number of runners.
845/5 = 169
Problem 2
A rectangular banner has a length of 13 meters, and the total area is 845 square meters. Find the width.
65 meters.
Explanation
To find the width of the banner, we use the formula,
Area = length × width
845 = 13 × width
To find the value of width, we need to shift 13 to the left side.
845/13 = width
Width = 65.
Problem 3
There are 65 students, and they all need to write an essay. Each essay is 13 pages long. How many pages will be written in total?
845 pages will be written in total.
Explanation
To find the total number of pages, multiply the number of students by the pages per essay.
65 × 13 = 845
Problem 4
A theater has 845 seats and 13 rows. How many seats are there in each row?
There are 65 seats in each row.
Explanation
Dividing the total number of seats by the rows, we get the number of seats in each row.
845/13 = 65
Problem 5
845 bottles are to be packed into boxes, each holding 5 bottles. How many boxes are needed?
169 boxes are needed.
Explanation
Divide the total number of bottles by the capacity of each box.
845/5 = 169
FAQs on Factors of 845
1.What are the factors of 845?
2.Mention the prime factors of 845.
3.Is 845 a multiple of 13?
4.Mention the factor pairs of 845?
5.What is the square of 845?
6.How can children in Oman use numbers in everyday life to understand Factors of 845?
7.What are some fun ways kids in Oman can practice Factors of 845 with numbers?
8.What role do numbers and Factors of 845 play in helping children in Oman develop problem-solving skills?
9.How can families in Oman create number-rich environments to improve Factors of 845 skills?
Important Glossaries for Factors of 845
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 845 are 1, 5, 13, 65, 169, and 845.
- Prime factors: The factors which are prime numbers. For example, 5 and 13 are prime factors of 845.
- 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 845 are (1, 845), (5, 169), etc.
- Prime factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 845 is 5 × 13 × 13.
- Multiplication method: Finding factors by identifying pairs of numbers multiplied to give the original number. For example, using multiplication to find that 13 × 65 = 845.
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About BrightChamps in Oman
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.
