111 LearnersLast updated on May 26th, 2025
Factors of 846
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 846, how they are used in real life, and tips to learn them quickly.
What are the Factors of 846?
The numbers that divide 846 evenly are known as factors of 846.
A factor of 846 is a number that divides the number without remainder.
The factors of 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, and 846.
Negative factors of 846: -1, -2, -3, -6, -9, -18, -47, -94, -141, -282, -423, and -846.
Prime factors of 846: 2, 3, and 47.
Prime factorization of 846: 2 × 3^2 × 47.
The sum of factors of 846: 1 + 2 + 3 + 6 + 9 + 18 + 47 + 94 + 141 + 282 + 423 + 846 = 1872
How to Find Factors of 846?
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 846. Identifying the numbers which are multiplied to get the number 846 is the multiplication method.
Step 1: Multiply 846 by 1, 846 × 1 = 846.
Step 2: Check for other numbers that give 846 after multiplying
2 × 423 = 846
3 × 282 = 846
6 × 141 = 846
9 × 94 = 846
18 × 47 = 846
Therefore, the positive factor pairs of 846 are: (1, 846), (2, 423), (3, 282), (6, 141), (9, 94), (18, 47). All these factor pairs result in 846. 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 that result as whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 846 by 1, 846 ÷ 1 = 846.
Step 2: Continue dividing 846 by the numbers until the remainder becomes 0.
846 ÷ 1 = 846
846 ÷ 2 = 423
846 ÷ 3 = 282
846 ÷ 6 = 141
846 ÷ 9 = 94
846 ÷ 18 = 47
Therefore, the factors of 846 are: 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846.
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 846 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
846 ÷ 2 = 423
423 ÷ 3 = 141
141 ÷ 3 = 47
47 ÷ 47 = 1
The prime factors of 846 are 2, 3, and 47.
The prime factorization of 846 is: 2 × 32 × 47.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 846 is divided by 2 to get 423.
Step 2: Now divide 423 by 3 to get 141.
Step 3: Then divide 141 by 3 to get 47. Here, 47 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 846 is: 2 × 3^2 × 47.
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 846: (1, 846), (2, 423), (3, 282), (6, 141), (9, 94), (18, 47).
- Negative factor pairs of 846: (-1, -846), (-2, -423), (-3, -282), (-6, -141), (-9, -94), (-18, -47).
Common Mistakes and How to Avoid Them in Factors of 846
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 846, 1 and 846 are also factors.
Factors of 846 Examples
Problem 1
There are 9 teams and 846 points to be distributed equally. How many points will each team get?
Each team will get 94 points.
Explanation
To distribute the points equally, we need to divide the total points by the number of teams
846/9 = 94
Problem 2
A parking lot is rectangular, the length of the lot is 47 meters and the total area is 846 square meters. Find the width?
18 meters.
Explanation
To find the width of the lot, we use the formula,
Area = length × width
846 = 47 × width
To find the value of width, we need to shift 47 to the left side.
846/47 = width
Width = 18.
Problem 3
There are 141 gift boxes and 846 candies. How many candies will be in each box?
Each box will have 6 candies.
Explanation
To find the candies in each box, divide the total candies by the boxes.
846/141 = 6
Problem 4
In a conference, there are 846 attendees, and 18 groups. How many attendees are there in each group?
There are 47 attendees in each group.
Explanation
Dividing the attendees by the total groups, we will get the number of attendees in each group.
846/18 = 47
Problem 5
846 books need to be arranged in 94 shelves. How many books will go on each shelf?
Each of the shelves has 9 books.
Explanation
Divide total books by shelves.
846/94 = 9
FAQs on Factors of 846
1.What are the factors of 846?
2.Mention the prime factors of 846.
3.Is 846 a multiple of 6?
4.Mention the factor pairs of 846?
5.What is the square of 846?
Important Glossaries for Factors of 846
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, and 846.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 47 are prime factors of 846.
- 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 846 are (1, 846), (2, 423), etc.
- Multiplication method: A method of finding factors by identifying pairs of numbers that can be multiplied to get the original number.
- Division method: A method of finding factors by dividing the number by integers and checking for a zero remainder.
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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.
