132 LearnersLast updated on May 30th, 2025
Factors of 885
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 885, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 885?
The numbers that divide 885 evenly are known as factors of 885.
A factor of 885 is a number that divides the number without remainder.
The factors of 885 are 1, 3, 5, 15, 59, 177, 295, and 885.
Negative factors of 885: -1, -3, -5, -15, -59, -177, -295, and -885.
Prime factors of 885: 3, 5, and 59.
Prime factorization of 885: 3 × 5 × 59.
The sum of factors of 885: 1 + 3 + 5 + 15 + 59 + 177 + 295 + 885 = 1440
How to Find Factors of 885?
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 885. Identifying the numbers which are multiplied to get the number 885 is the multiplication method.
Step 1: Multiply 885 by 1, 885 × 1 = 885.
Step 2: Check for other numbers that give 885 after multiplying
3 × 295 = 885
5 × 177 = 885
15 × 59 = 885
Therefore, the positive factor pairs of 885 are: (1, 885), (3, 295), (5, 177), (15, 59).
All these factor pairs result in 885. 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 the simple division method -
Step 1: Divide 885 by 1, 885 ÷ 1 = 885.
Step 2: Continue dividing 885 by the numbers until the remainder becomes 0.
885 ÷ 1 = 885
885 ÷ 3 = 295
885 ÷ 5 = 177
885 ÷ 15 = 59
Therefore, the factors of 885 are: 1, 3, 5, 15, 59, 177, 295, 885.
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 885 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
885 ÷ 3 = 295
295 ÷ 5 = 59
59 ÷ 59 = 1
The prime factors of 885 are 3, 5, and 59.
The prime factorization of 885 is: 3 × 5 × 59.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 885 is divided by 3 to get 295.
Step 2: Now divide 295 by 5 to get 59.
Step 3: Here, 59 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 885 is: 3 × 5 × 59.
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 885: (1, 885), (3, 295), (5, 177), (15, 59).
Negative factor pairs of 885: (-1, -885), (-3, -295), (-5, -177), (-15, -59).
Common Mistakes and How to Avoid Them in Factors of 885
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 885, 1 and 885 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 885 consist of -1, -3, -5, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 885/1.5 = 590, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes. For example, thinking all the factors of 885 are prime numbers.
For example, 3, 5, and 59 are the prime factors of 885, but it has other factors like 15, 295.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 885 as 3 × 5 × 59 and missing all the key factors.
Factors of 885 Examples
Problem 1
There are 15 teams and 885 players. How will they divide equally among the teams?
Each team will have 59 players.
Explanation
To divide the players equally, we need to divide the total players by the number of teams.
885/15 = 59
Problem 2
A rectangular garden has a length of 59 meters and a total area of 885 square meters. Find the width.
15 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
885 = 59 × width
To find the value of width, we need to shift 59 to the left side.
885/59 = width
Width = 15.
Problem 3
There are 5 containers and 885 apples. How many apples will be in each container?
Each container will have 177 apples.
Explanation
To find the apples in each container, divide the total apples by the containers.
885/5 = 177
Problem 4
In a class, there are 885 students and 3 halls. How many students are there in each hall?
There are 295 students in each hall.
Explanation
Dividing the students by the total halls, we will get the number of students in each hall.
885/3 = 295
Problem 5
885 books need to be arranged in 59 shelves. How many books will go on each shelf?
Each of the shelves has 15 books.
Explanation
Divide total books by shelves.
885/59 = 15
FAQs on Factors of 885
1.What are the factors of 885?
2.Mention the prime factors of 885.
3.Is 885 a multiple of 15?
4.Mention the factor pairs of 885?
5.What is the square of 885?
6.How can children in India use numbers in everyday life to understand Factors of 885?
7.What are some fun ways kids in India can practice Factors of 885 with numbers?
8.What role do numbers and Factors of 885 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 885 skills?
Important Glossaries for Factors of 885
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 885 are 1, 3, 5, 15, 59, 177, 295, and 885.
- Prime factors: The factors which are prime numbers. For example, 3, 5, and 59 are prime factors of 885.
- 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 885 are (1, 885), (3, 295), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, 885 can be expressed as 3 × 5 × 59.
- Multiplication method: A technique to find factors by identifying pairs of numbers that result in the target number when multiplied together.
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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.
