100 LearnersLast updated on May 26th, 2025
Factors of 1399
Factors are the numbers that divide any given number evenly without 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 1399, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1399?
The numbers that divide 1399 evenly are known as factors of 1399.
A factor of 1399 is a number that divides the number without remainder.
The factors of 1399 are 1, 19, 73, and 1399.
Negative factors of 1399: -1, -19, -73, and -1399.
Prime factors of 1399: 19 and 73.
Prime factorization of 1399: 19 × 73.
The sum of factors of 1399: 1 + 19 + 73 + 1399 = 1492
How to Find Factors of 1399?
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 1399. Identifying the numbers which are multiplied to get the number 1399 is the multiplication method.
Step 1: Multiply 1399 by 1, 1399 × 1 = 1399.
Step 2: Check for other numbers that give 1399 after multiplying 19 × 73 = 1399
Therefore, the positive factor pairs of 1399 are: (1, 1399), (19, 73).
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 a simple division method
Step 1: Divide 1399 by 1, 1399 ÷ 1 = 1399.
Step 2: Continue dividing 1399 by the numbers until the remainder becomes 0.
1399 ÷ 1 = 1399
1399 ÷ 19 = 73
1399 ÷ 73 = 19
1399 ÷ 1399 = 1
Therefore, the factors of 1399 are: 1, 19, 73, 1399.
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 1399 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1399 ÷ 19 = 73
73 ÷ 73 = 1
The prime factors of 1399 are 19 and 73.
The prime factorization of 1399 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, 1399 is divided by 19 to get 73.
Step 2: Now divide 73 by 73 to get 1. Here, both 19 and 73 are prime numbers and cannot be divided further.
So, the prime factorization of 1399 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 1399: (1, 1399), (19, 73).
Negative factor pairs of 1399: (-1, -1399), (-19, -73).
Common Mistakes and How to Avoid Them in Factors of 1399
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 1399, 1 and 1399 are also factors.
Factors of 1399 Examples
Problem 1
There are 73 students and 1399 pencils. How will they distribute the pencils equally?
They will get 19 pencils each.
Explanation
To distribute the pencils equally, we need to divide the total pencils by the number of students.
1399/73 = 19
Problem 2
A wall is rectangular, the height of the wall is 19 meters and the total area is 1399 square meters. Find the width?
73 meters.
Explanation
To find the width of the wall, we use the formula,
Area = height × width
1399 = 19 × width
To find the value of width, we need to shift 19 to the left side.
1399/19 = width
Width = 73.
Problem 3
There are 1399 jars and each box can hold 19 jars. How many boxes are needed?
73 boxes are needed.
Explanation
To find the number of boxes needed, divide the total jars by the capacity of each box.
1399/19 = 73
Problem 4
1399 players need to be divided into 19 teams. How many players are there in each team?
There are 73 players in each team.
Explanation
Dividing the players by the total teams, we will get the number of players in each team.
1399/19 = 73
Problem 5
A company has 1399 products and needs to place them in 73 containers. How many products will go in each container?
Each of the containers will have 19 products.
Explanation
Divide total products by containers.
1399/73 = 19
FAQs on Factors of 1399
1.What are the factors of 1399?
2.Mention the prime factors of 1399.
3.Is 1399 a multiple of 19?
4.Mention the factor pairs of 1399?
5.What is the square of 1399?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1399?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1399 with numbers?
8.What role do numbers and Factors of 1399 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 1399 skills?
Important Glossaries for Factors of 1399
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1399 are 1, 19, 73, and 1399.
- Prime factors: The factors which are prime numbers. For example, 19 and 73 are prime factors of 1399.
- 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 1399 are (1, 1399) and (19, 73).
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1399 is 19 × 73.
- Multiple: A number that can be divided by another number without a remainder. For example, 1399 is a multiple of 19.
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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.
