111 LearnersLast updated on May 26th, 2025
Factors of 836
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 836, how they are used in real life, and tips to learn them quickly.
What are the Factors of 836?
The numbers that divide 836 evenly are known as factors of 836.
A factor of 836 is a number that divides the number without remainder.
The factors of 836 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, and 836.
Negative factors of 836: -1, -2, -4, -11, -19, -22, -38, -44, -76, -209, -418, and -836.
Prime factors of 836: 2, 11, and 19.
Prime factorization of 836: 22 × 11 × 19.
The sum of factors of 836: 1 + 2 + 4 + 11 + 19 + 22 + 38 + 44 + 76 + 209 + 418 + 836 = 1680
How to Find Factors of 836?
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 836. Identifying the numbers which are multiplied to get the number 836 is the multiplication method.
Step 1: Multiply 836 by 1, 836 × 1 = 836.
Step 2: Check for other numbers that give 836 after multiplying
2 × 418 = 836
4 × 209 = 836
11 × 76 = 836
19 × 44 = 836
Therefore, the positive factor pairs of 836 are: (1, 836), (2, 418), (4, 209), (11, 76), (19, 44).
All these factor pairs result in 836.
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 a simple division method
Step 1: Divide 836 by 1, 836 ÷ 1 = 836.
Step 2: Continue dividing 836 by the numbers until the remainder becomes 0.
836 ÷ 1 = 836
836 ÷ 2 = 418
836 ÷ 4 = 209
836 ÷ 11 = 76
836 ÷ 19 = 44
Therefore, the factors of 836 are: 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 836 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
836 ÷ 2 = 418
418 ÷ 2 = 209
209 ÷ 11 = 19
19 ÷ 19 = 1
The prime factors of 836 are 2, 11, and 19.
The prime factorization of 836 is: 22 × 11 × 19.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 836 is divided by 2 to get 418.
Step 2: Now divide 418 by 2 to get 209.
Step 3: Then divide 209 by 11 to get 19. Here, 19 is a prime number and cannot be divided anymore. So, the prime factorization of 836 is: 22 × 11 × 19.
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 836: (1, 836), (2, 418), (4, 209), (11, 76), and (19, 44).
- Negative factor pairs of 836: (-1, -836), (-2, -418), (-4, -209), (-11, -76), and (-19, -44).
Common Mistakes and How to Avoid Them in Factors of 836
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 836, 1 and 836 are also factors.
Factors of 836 Examples
Problem 1
There are 11 friends and 836 marbles. How will they divide them equally?
They will get 76 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles by the number of friends.
836/11 = 76
Problem 2
A field is rectangular, the length of the field is 19 meters and the total area is 836 square meters. Find the width?
44 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
836 = 19 × width
To find the value of width, we need to shift 19 to the left side.
836/19 = width
Width = 44.
Problem 3
There are 4 boxes and 836 candies. How many candies will be in each box?
Each box will have 209 candies.
Explanation
To find the candies in each box, divide the total candies by the boxes.
836/4 = 209
Problem 4
In a class, there are 836 students, and 38 groups. How many students are there in each group?
There are 22 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
836/38 = 22
Problem 5
836 books need to be arranged in 19 shelves. How many books will go on each shelf?
Each of the shelves has 44 books.
Explanation
Divide total books by shelves.
836/19 = 44
FAQs on Factors of 836
1.What are the factors of 836?
2.Mention the prime factors of 836.
3.Is 836 a multiple of 4?
4.Mention the factor pairs of 836?
5.What is the square of 836?
6.How can children in Philippines use numbers in everyday life to understand Factors of 836?
7.What are some fun ways kids in Philippines can practice Factors of 836 with numbers?
8.What role do numbers and Factors of 836 play in helping children in Philippines develop problem-solving skills?
9.How can families in Philippines create number-rich environments to improve Factors of 836 skills?
Important Glossaries for Factor of 836
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 836 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, and 836.
- Prime factors: The factors which are prime numbers. For example, 2, 11, and 19 are prime factors of 836.
- 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 836 are (1, 836), (2, 418), etc.
- Prime factorization: The process of expressing a number as the product of prime numbers. For instance, 836 is expressed as 22 × 11 × 19.
- Division method: A method to find factors by dividing the original number by whole numbers to check for a remainder of zero.
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About BrightChamps in Philippines
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.
