109 LearnersLast updated on May 26th, 2025
Factors of 835
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 835, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 835?
The numbers that divide 835 evenly are known as factors of 835.
A factor of 835 is a number that divides the number without remainder.
The factors of 835 are 1, 5, 167, and 835.
Negative factors of 835: -1, -5, -167, and -835.
Prime factors of 835: 5 and 167.
Prime factorization of 835: 5 × 167.
The sum of factors of 835: 1 + 5 + 167 + 835 = 1008
How to Find Factors of 835?
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 835. Identifying the numbers which are multiplied to get the number 835 is the multiplication method.
Step 1: Multiply 835 by 1, 835 × 1 = 835.
Step 2: Check for other numbers that give 835 after multiplying 5 × 167 = 835
Therefore, the positive factor pairs of 835 are: (1, 835) and (5, 167).
All these factor pairs result in 835.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number with 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 835 by 1, 835 ÷ 1 = 835.
Step 2: Continue dividing 835 by the numbers until the remainder becomes 0.
835 ÷ 1 = 835
835 ÷ 5 = 167
Therefore, the factors of 835 are: 1, 5, 167, and 835.
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 835 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
835 ÷ 5 = 167
167 ÷ 167 = 1
The prime factors of 835 are 5 and 167.
The prime factorization of 835 is: 5 × 167.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 835 is divided by 5 to get 167.
Step 2: Now divide 167 by 167 to get 1. Here, 167 is a prime number that cannot be divided anymore. So, the prime factorization of 835 is: 5 × 167.
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 835: (1, 835) and (5, 167).
- Negative factor pairs of 835: (-1, -835) and (-5, -167).
Common Mistakes and How to Avoid Them in Factors of 835
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 835, 1 and 835 are also factors.
Factors of 835 Examples
Problem 1
There are 5 friends and 835 candies. How will they divide them equally?
They will get 167 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of friends.
835/5 = 167
Problem 2
A field is rectangular, the length of the field is 5 meters and the total area is 835 square meters. Find the width?
167 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
835 = 5 × width
To find the value of width, we need to shift 5 to the left side.
835/5 = width
Width = 167.
Problem 3
There are 167 boxes and 835 apples. How many apples will be in each box?
Each box will have 5 apples.
Explanation
To find the apples in each box, divide the total apples by the number of boxes.
835/167 = 5
Problem 4
In a class, there are 835 students, and 5 groups. How many students are there in each group?
There are 167 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
835/5 = 167
Problem 5
835 books need to be arranged in 167 shelves. How many books will go on each shelf?
Each of the shelves has 5 books.
Explanation
Divide total books by shelves.
835/167 = 5
FAQs on Factors of 835
1.What are the factors of 835?
2.Mention the prime factors of 835.
3.Is 835, a multiple of 5?
4.Mention the factor pairs of 835?
5.What is the square of 835?
Important Glossaries for Factor of 835
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 835 are 1, 5, 167, and 835.
- Prime factors: The factors which are prime numbers. For example, 5 and 167 are prime factors of 835.
- 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 835 are (1, 835) and (5, 167).
- Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 835 is 5 × 167.
- Multiple: A number that can be divided by another number without a remainder. For example, 835 is a multiple of 5.
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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.
