100 LearnersLast updated on May 26th, 2025
Factors of 1386
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 1386, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1386?
The numbers that divide 1386 evenly are known as factors of 1386.
A factor of 1386 is a number that divides the number without a remainder.
The factors of 1386 are 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 138, 207, 414, 693, and 1386.
Negative factors of 1386: -1, -2, -3, -6, -9, -18, -23, -27, -46, -54, -69, -138, -207, -414, -693, and -1386.
Prime factors of 1386: 2, 3, and 23.
Prime factorization of 1386: 2 × 3 × 3 × 3 × 23.
The sum of factors of 1386: 1 + 2 + 3 + 6 + 9 + 18 + 23 + 27 + 46 + 54 + 69 + 138 + 207 + 414 + 693 + 1386 = 3100
How to Find Factors of 1386?
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 1386. Identifying the numbers which are multiplied to get the number 1386 is the multiplication method.
Step 1: Multiply 1386 by 1, 1386 × 1 = 1386.
Step 2: Check for other numbers that give 1386 after multiplying
2 × 693 = 1386
3 × 462 = 1386
6 × 231 = 1386
9 × 154 = 1386
18 × 77 = 1386
23 × 60 = 1386
27 × 51 = 1386
Therefore, the positive factor pairs of 1386 are: (1, 1386), (2, 693), (3, 462), (6, 231), (9, 154), (18, 77), (23, 60), and (27, 51).
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 the simple division method
Step 1: Divide 1386 by 1, 1386 ÷ 1 = 1386.
Step 2: Continue dividing 1386 by the numbers until the remainder becomes 0.
1386 ÷ 1 = 1386
1386 ÷ 2 = 693
1386 ÷ 3 = 462
1386 ÷ 6 = 231
1386 ÷ 9 = 154
1386 ÷ 18 = 77
1386 ÷ 23 = 60
1386 ÷ 27 = 51
Therefore, the factors of 1386 are: 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 138, 207, 414, 693, 1386.
Prime Factors and Prime Factorization
The factors can be found by dividing with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using a factor tree
Using Prime Factorization: In this process, prime factors of 1386 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1386 ÷ 2 = 693
693 ÷ 3 = 231
231 ÷ 3 = 77
77 ÷ 7 = 11
11 ÷ 11 = 1
The prime factors of 1386 are 2, 3, and 11.
The prime factorization of 1386 is: 2 × 3 × 3 × 7 × 11.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1386 is divided by 2 to get 693.
Step 2: Now divide 693 by 3 to get 231.
Step 3: Then divide 231 by 3 to get 77.
Step 4: Divide 77 by 7 to get 11. Here, 11 is the smallest prime number, which cannot be divided further. So, the prime factorization of 1386 is: 2 × 3 × 3 × 7 × 11.
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 1386: (1, 1386), (2, 693), (3, 462), (6, 231), (9, 154), (18, 77), (23, 60), and (27, 51).
Negative factor pairs of 1386: (-1, -1386), (-2, -693), (-3, -462), (-6, -231), (-9, -154), (-18, -77), (-23, -60), and (-27, -51).
Common Mistakes and How to Avoid Them in Factors of 1386
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 1386, 1 and 1386 are also factors.
Factors of 1386 Examples
Problem 1
There are 6 teams and 1386 points. How will they divide it equally?
Each team will get 231 points.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
1386/6 = 231
Problem 2
A rectangular garden has a length of 23 meters and a total area of 1386 square meters. Find the width.
The width is 60 meters.
Explanation
To find the width of the field, we use the formula, Area = length × width 1386 = 23 × width
To find the value of width, we need to divide 1386 by 23.
1386/23 = width
Width = 60.
Problem 3
There are 18 boxes and 1386 apples. How many apples will be in each box?
Each box will have 77 apples.
Explanation
To find the apples in each box, divide the total apples by the boxes.
1386/18 = 77
Problem 4
In a class, there are 1386 students, and 9 groups. How many students are there in each group?
There are 154 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1386/9 = 154
Problem 5
1386 books need to be arranged in 6 shelves. How many books will go on each shelf?
Each of the shelves has 231 books.
Explanation
Divide total books by shelves.
1386/6 = 231
FAQs on Factors of 1386
1.What are the factors of 1386?
2.Mention the prime factors of 1386.
3.Is 1386 a multiple of 9?
4.Mention the factor pairs of 1386?
5.What is the square of 1386?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1386?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1386 with numbers?
8.What role do numbers and Factors of 1386 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 1386 skills?
Important Glossaries for Factor of 1386
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1386 are 1, 2, 3, 6, 9, 18, etc.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 11 are prime factors of 1386.
- 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 1386 are (1, 1386), (2, 693), etc.
- Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 1386 is 2 × 3 × 3 × 7 × 11.
- Multiplication method: A way to find factor pairs by identifying pairs of numbers that multiply to the target number.
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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.
