100 LearnersLast updated on May 26th, 2025
Factors of 1387
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 1387, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1387?
The numbers that divide 1387 evenly are known as factors of 1387.
A factor of 1387 is a number that divides the number without a remainder.
The factors of 1387 are 1, 19, 73, and 1387.
Negative factors of 1387: -1, -19, -73, and -1387.
Prime factors of 1387: 19 and 73.
Prime factorization of 1387: 19 × 73.
The sum of factors of 1387: 1 + 19 + 73 + 1387 = 1480
How to Find Factors of 1387?
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 1387. Identifying the numbers which are multiplied to get the number 1387 is the multiplication method.
Step 1: Multiply 1387 by 1, 1387 × 1 = 1387.
Step 2: Check for other numbers that give 1387 after multiplying 19 × 73 = 1387
Therefore, the positive factor pairs of 1387 are (1, 1387) and (19, 73).
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 as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1387 by 1, 1387 ÷ 1 = 1387.
Step 2: Continue dividing 1387 by the numbers until the remainder becomes 0.
1387 ÷ 1 = 1387
1387 ÷ 19 = 73
1387 ÷ 73 = 19
Therefore, the factors of 1387 are: 1, 19, 73, and 1387.
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 1387 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1387 ÷ 19 = 73 73 ÷ 73 = 1
The prime factors of 1387 are 19 and 73.
The prime factorization of 1387 is: 19 × 73.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1387 is divided by 19 to get 73.
Step 2: Now divide 73 by 73 to get 1. Here, 73 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 1387 is: 19 × 73.
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 1387: (1, 1387) and (19, 73).
Negative factor pairs of 1387: (-1, -1387) and (-19, -73).
Common Mistakes and How to Avoid Them in Factors of 1387
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 1387, 1 and 1387 are also factors.
Factors of 1387 Examples
Problem 1
There are 19 friends and 1387 apples. How will they divide them equally?
They will get 73 apples each.
Explanation
To divide the apples equally, we need to divide the total apples with the number of friends.
1387/19 = 73
Problem 2
A field is rectangular, the length of the field is 19 meters and the total area is 1387 square meters. Find the width?
73 meters.
Explanation
To find the width of the field, we use the formula, Area = length × width 1387 = 19 × width
To find the value of width, we need to shift 19 to the left side.
1387/19 = width
Width = 73.
Problem 3
There are 73 bags and 1387 candies. How many candies will be in each bag?
Each bag will have 19 candies.
Explanation
To find the candies in each bag, divide the total candies with the bags.
1387/73 = 19
Problem 4
In a class, there are 1387 students, and 19 groups. How many students are there in each group?
There are 73 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
1387/19 = 73
Problem 5
1387 books need to be arranged in 73 shelves. How many books will go on each shelf?
Each of the shelves has 19 books.
Explanation
Divide total books with shelves.
1387/73 = 19
FAQs on Factors of 1387
1.What are the factors of 1387?
2.Mention the prime factors of 1387.
3.Is 1387 a multiple of 19?
4.Mention the factor pairs of 1387.
5.What is the square of 1387?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 1387?
7.What are some fun ways kids in Bahrain can practice Factors of 1387 with numbers?
8.What role do numbers and Factors of 1387 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 1387 skills?
Important Glossaries for Factors of 1387
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1387 are 1, 19, 73, and 1387.
- Prime factors: The factors which are prime numbers. For example, 19 and 73 are prime factors of 1387.
- 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 1387 are (1, 1387) and (19, 73).
- Multiplication method: A method to find factors by multiplying pairs of numbers to achieve the target number.
- Division method: A method to find factors by dividing the number by whole numbers to see which divisions leave no remainder.
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About BrightChamps in Bahrain
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.
