101 LearnersLast updated on May 26th, 2025
Factors of 1299
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 1299, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1299?
The numbers that divide 1299 evenly are known as factors of 1299.
A factor of 1299 is a number that divides the number without remainder.
The factors of 1299 are 1, 3, 11, 33, 39, 117, 433, and 1299.
Negative factors of 1299: -1, -3, -11, -33, -39, -117, -433, and -1299.
Prime factors of 1299: 3 and 433.
Prime factorization of 1299: 3 × 433.
The sum of factors of 1299: 1 + 3 + 11 + 33 + 39 + 117 + 433 + 1299 = 1936
How to Find Factors of 1299?
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 1299. Identifying the numbers that are multiplied to get the number 1299 is the multiplication method.
Step 1: Multiply 1299 by 1, 1299 × 1 = 1299.
Step 2: Check for other numbers that give 1299 after multiplying:
3 × 433 = 1299
11 × 117 = 1299
Therefore, the positive factor pairs of 1299 are: (1, 1299), (3, 433), and (11, 117).
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 1299 by 1, 1299 ÷ 1 = 1299.
Step 2: Continue dividing 1299 by the numbers until the remainder becomes 0.
1299 ÷ 1 = 1299
1299 ÷ 3 = 433
1299 ÷ 11 = 117
Therefore, the factors of 1299 are: 1, 3, 11, 33, 39, 117, 433, and 1299.
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 1299 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1299 ÷ 3 = 433
433 ÷ 433 = 1
The prime factors of 1299 are 3 and 433.
The prime factorization of 1299 is: 3 × 433.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1299 is divided by 3 to get 433.
Step 2: Now divide 433 by 433 to get 1.
Here, 433 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1299 is: 3 × 433.
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 1299: (1, 1299), (3, 433), and (11, 117).
Negative factor pairs of 1299: (-1, -1299), (-3, -433), and (-11, -117).
Common Mistakes and How to Avoid Them in Factors of 1299
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 1299, 1 and 1299 are also factors.
Factors of 1299 Examples
Problem 1
There are 3 teams and 1299 points. How will they distribute the points equally among the teams?
They will get 433 points each.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
1299/3 = 433
Problem 2
A garden is rectangular, the length of the garden is 11 meters and the total area is 1299 square meters. Find the width?
117 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1299 = 11 × width
To find the value of width, we need to shift 11 to the left side.
1299/11 = width
Width = 117.
Problem 3
There are 39 bins and 1299 pieces of trash. How many pieces of trash will be in each bin?
Each bin will have 33 pieces of trash.
Explanation
To find the pieces of trash in each bin, divide the total pieces of trash by the bins.
1299/39 = 33
Problem 4
In a concert, there are 1299 attendees, and 11 sections. How many attendees are there in each section?
There are 117 attendees in each section.
Explanation
Dividing the attendees by the total sections, we will get the number of attendees in each section.
1299/11 = 117
Problem 5
1299 books need to be arranged in 3 bookshelves. How many books will go on each shelf?
Each of the shelves has 433 books.
Explanation
Divide total books by the shelves.
1299/3 = 433
FAQs on Factors of 1299
1.What are the factors of 1299?
2.Mention the prime factors of 1299.
3.Is 1299 a multiple of 11?
4.Mention the factor pairs of 1299?
5.What is the square of 1299?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1299?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1299 with numbers?
8.What role do numbers and Factors of 1299 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 1299 skills?
Important Glossaries for Factor of 1299
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1299 are 1, 3, 11, 33, 39, 117, 433, and 1299.
- Prime factors: The factors which are prime numbers. For example, 3 and 433 are prime factors of 1299.
- 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 1299 are (1, 1299), (3, 433), etc.
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 1299 is 3 × 433.
- Negative factors: The negative counterparts of the positive factors. For example, -1, -3, -11, etc., are negative factors of 1299.
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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.
