100 LearnersLast updated on May 26th, 2025
Factors of 1287
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 1287, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1287?
The numbers that divide 1287 evenly are known as factors of 1287.
A factor of 1287 is a number that divides the number without a remainder.
The factors of 1287 are 1, 3, 7, 17, 21, 39, 51, 119, 153, 231, 429, and 1287.
Negative factors of 1287: -1, -3, -7, -17, -21, -39, -51, -119, -153, -231, -429, and -1287.
Prime factors of 1287: 3, 7, and 17.
Prime factorization of 1287: 3 × 7 × 17.
The sum of factors of 1287: 1 + 3 + 7 + 17 + 21 + 39 + 51 + 119 + 153 + 231 + 429 + 1287 = 2358
How to Find Factors of 1287?
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 1287. Identifying the numbers that are multiplied to get the number 1287 is the multiplication method.
Step 1: Multiply 1287 by 1, 1287 × 1 = 1287.
Step 2: Check for other numbers that give 1287 after multiplying
3 × 429 = 1287
7 × 183 = 1287
17 × 75.7059 = not a factor
21 × 61.2857 = not a factor
39 × 33 = 1287
51 × 25.2353 = not a factor
Therefore, the positive factor pairs of 1287 are: (1, 1287), (3, 429), (7, 183), (39, 33).
All these factor pairs result in 1287.
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 which result as whole numbers as factors. Factors can be calculated by following a simple division method:
Step 1: Divide 1287 by 1, 1287 ÷ 1 = 1287.
Step 2: Continue dividing 1287 by the numbers until the remainder becomes 0.
1287 ÷ 1 = 1287
1287 ÷ 3 = 429
1287 ÷ 7 = 183
1287 ÷ 39 = 33
Therefore, the factors of 1287 are: 1, 3, 7, 39, 183, 429, 1287.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. 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 1287 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1287 ÷ 3 = 429
429 ÷ 3 = 143
143 ÷ 11 = 13 (not a factor)
143 ÷ 7 = 17
17 ÷ 17 = 1
The prime factors of 1287 are 3, 7, and 17.
The prime factorization of 1287 is: 3 × 7 × 17.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show:
Step 1: Firstly, 1287 is divided by 3 to get 429.
Step 2: Now divide 429 by 3 to get 143.
Step 3: Then divide 143 by 7 to get 17.
Step 4: Divide 17 by 17 to get 1.
Here, 17 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1287 is: 3 × 7 × 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 1287: (1, 1287), (3, 429), (7, 183), (39, 33).
Negative factor pairs of 1287: (-1, -1287), (-3, -429), (-7, -183), (-39, -33).
Common Mistakes and How to Avoid Them in Factors of 1287
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 1287, 1 and 1287 are also factors.
Factors of 1287 Examples
Problem 1
There are 3 friends and 1287 marbles. How will they divide them equally?
They will get 429 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles by the number of friends.
1287/3 = 429
Problem 2
A garden is rectangular, the length of the garden is 39 meters, and the total area is 1287 square meters. Find the width?
33 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1287 = 39 × width
To find the value of width, we need to shift 39 to the left side.
1287/39 = width
Width = 33.
Problem 3
There are 429 apples to be packed in boxes, with each box holding 3 apples. How many boxes are needed?
143 boxes are needed.
Explanation
To find the number of boxes needed, divide the total apples by the number of apples per box.
429/3 = 143
Problem 4
In a school, there are 7 teams, and 1287 students. How many students are there in each team?
There are 183 students in each team.
Explanation
Dividing the students by the total teams, we will get the number of students in each team.
1287/7 = 183
Problem 5
1287 books are to be arranged in 51 shelves. How many books will go on each shelf?
Each of the shelves has 25 books.
Explanation
Divide total books by shelves.
1287/51 = 25
FAQs on Factors of 1287
1.What are the factors of 1287?
2.Mention the prime factors of 1287.
3.Is 1287 a multiple of 7?
4.Mention the factor pairs of 1287?
5.What is the square of 1287?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1287?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1287 with numbers?
8.What role do numbers and Factors of 1287 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 1287 skills?
Important Glossaries for Factor of 1287
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1287 are 1, 3, 7, etc.
- Prime Factors: The factors which are prime numbers. For example, 3, 7, and 17 are prime factors of 1287.
- 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 1287 are (1, 1287), (3, 429), etc.
- Prime Factorization: The process of expressing a number as the product of its prime factors. For instance, the prime factorization of 1287 is 3 × 7 × 17.
- Multiplication Method: A method used to find factors by identifying pairs of numbers that multiply to a given number, such as 1287.
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About BrightChamps in United Arab Emirates
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.
