101 LearnersLast updated on May 26th, 2025
Factors of 3187
Factors are the numbers that divide any given number evenly without a 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 3187, how they are used in real life, and tips to learn them quickly.
What are the Factors of 3187?
The numbers that divide 3187 evenly are known as factors of 3187.
A factor of 3187 is a number that divides the number without a remainder.
The factors of 3187 are 1, 11, 17, 187, 289, and 3187.
Negative factors of 3187: -1, -11, -17, -187, -289, and -3187.
Prime factors of 3187: 11 and 17.
Prime factorization of 3187: 11 × 17 × 17.
The sum of factors of 3187: 1 + 11 + 17 + 187 + 289 + 3187 = 3692
How to Find Factors of 3187?
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 3187. Identifying the numbers that are multiplied to get the number 3187 is the multiplication method.
Step 1: Multiply 3187 by 1, 3187 × 1 = 3187.
Step 2: Check for other numbers that give 3187 after multiplying.
11 × 289 = 3187
17 × 187 = 3187
Therefore, the positive factor pairs of 3187 are: (1, 3187), (11, 289), (17, 187). All these factor pairs result in 3187. 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 that result as whole numbers as factors. Factors can be calculated by following a simple division method - Step 1: Divide 3187 by 1, 3187 ÷ 1 = 3187. Step 2: Continue dividing 3187 by the numbers until the remainder becomes 0. 3187 ÷ 1 = 3187 3187 ÷ 11 = 289 3187 ÷ 17 = 187 Therefore, the factors of 3187 are: 1, 11, 17, 187, 289, 3187.
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 3187 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
3187 ÷ 11 = 289
289 ÷ 17 = 17
17 ÷ 17 = 1
The prime factors of 3187 are 11 and 17.
The prime factorization of 3187 is: 11 × 17 × 17.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 3187 is divided by 11 to get 289.
Step 2: Now divide 289 by 17 to get 17.
Step 3: Lastly, 17 is divided by 17 to get 1. So, the prime factorization of 3187 is: 11 × 17 × 17.
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 3187: (1, 3187), (11, 289), and (17, 187).
Negative factor pairs of 3187: (-1, -3187), (-11, -289), and (-17, -187).
Common Mistakes and How to Avoid Them in Factors of 3187
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 3187, 1 and 3187 are also factors.
Factors of 3187 Examples
Problem 1
There are 11 groups and 3187 candies. How will they divide it equally?
They will get 289 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of groups.
3187/11 = 289
Problem 2
A rectangular field has a width of 17 meters and a total area of 3187 square meters. Find the length?
187 meters.
Explanation
To find the length of the field, we use the formula,
Area = length × width
3187 = 17 × length
To find the value of length, we need to shift 17 to the left side.
3187/17 = length
Length = 187.
Problem 3
There are 17 boxes and 3187 marbles. How many marbles will be in each box?
Each box will have 187 marbles.
Explanation
To find the marbles in each box, divide the total marbles by the number of boxes.
3187/17 = 187
Problem 4
In a class, there are 3187 students, and 187 groups. How many students are there in each group?
There are 17 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
3187/187 = 17
Problem 5
3187 books need to be arranged in 289 shelves. How many books will go on each shelf?
Each shelf will have 11 books.
Explanation
Divide the total books by the number of shelves.
3187/289 = 11
FAQs on Factors of 3187
1.What are the factors of 3187?
2.Mention the prime factors of 3187.
3.Is 3187 a multiple of 17?
4.Mention the factor pairs of 3187?
5.What is the square of 3187?
6.How can children in Qatar use numbers in everyday life to understand Factors of 3187?
7.What are some fun ways kids in Qatar can practice Factors of 3187 with numbers?
8.What role do numbers and Factors of 3187 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 3187 skills?
Important Glossaries for Factors of 3187
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 3187 are 1, 11, 17, 187, 289, and 3187.
- Prime factors: The factors which are prime numbers. For example, 11 and 17 are prime factors of 3187.
- 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 3187 are (1, 3187), (11, 289), etc.
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 3187 is 11 × 17 × 17.
- Multiple: A number that can be divided by another number without a remainder. For example, 3187 is a multiple of 17.
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About BrightChamps in Qatar
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.
