100 LearnersLast updated on May 26th, 2025
Factors of 299
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 299, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 299?
The numbers that divide 299 evenly are known as factors of 299.
A factor of 299 is a number that divides the number without remainder.
The factors of 299 are 1, 13, 23, and 299.
Negative factors of 299: -1, -13, -23, and -299.
Prime factors of 299: 13 and 23.
Prime factorization of 299: 13 × 23.
The sum of factors of 299: 1 + 13 + 23 + 299 = 336
How to Find Factors of 299?
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 299. Identifying the numbers which are multiplied to get the number 299 is the multiplication method.
Step 1: Multiply 299 by 1, 299 × 1 = 299.
Step 2: Check for other numbers that give 299 after multiplying
13 × 23 = 299
Therefore, the positive factor pairs of 299 are: (1, 299) and (13, 23).
All these factor pairs result in 299.
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 299 by 1, 299 ÷ 1 = 299.
Step 2: Continue dividing 299 by the numbers until the remainder becomes 0.
299 ÷ 1 = 299
299 ÷ 13 = 23
299 ÷ 23 = 13
Therefore, the factors of 299 are: 1, 13, 23, 299.
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 299 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
299 ÷ 13 = 23
23 ÷ 23 = 1
The prime factors of 299 are 13 and 23.
The prime factorization of 299 is: 13 × 23.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 299 is divided by 13 to get 23.
Step 2: Now divide 23 by 23 to get 1.
Here, 23 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 299 is: 13 × 23.
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 299: (1, 299) and (13, 23).
Negative factor pairs of 299: (-1, -299) and (-13, -23).
Common Mistakes and How to Avoid Them in Factors of 299
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 whole number. Always remember to include 1 and the number itself.
For example, in factors of 299, 1 and 299 is also a factor.
Factors of 299 Examples
Problem 1
There are 23 volunteers and 299 gifts. How will they divide it equally?
They will get 13 gifts each.
Explanation
To divide the gifts equally, we need to divide the total gifts with the number of volunteers.
299/23 = 13
Problem 2
A rectangular garden has a length of 13 meters and a total area of 299 square meters. Find the width?
23 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
299 = 13 × width
To find the value of width, we need to shift 13 to the left side.
299/13 = width
Width = 23.
Problem 3
There are 13 crates and 299 apples. How many apples will be in each crate?
Each crate will have 23 apples.
Explanation
To find the apples in each crate, divide the total apples with the crates.
299/13 = 23
Problem 4
In a class, there are 299 students, and they need to form 13 groups. How many students are there in each group?
There are 23 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
299/13 = 23
Problem 5
299 books need to be arranged in 23 shelves. How many books will go on each shelf?
Each of the shelves has 13 books.
Explanation
Divide total books with shelves.
299/23 = 13
FAQs on Factors of 299
1.What are the factors of 299?
2.Mention the prime factors of 299.
3.Is 299 a multiple of 13?
4.Mention the factor pairs of 299?
5.What is the square of 299?
6.How can children in Canada use numbers in everyday life to understand Factors of 299?
7.What are some fun ways kids in Canada can practice Factors of 299 with numbers?
8.What role do numbers and Factors of 299 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 299 skills?
Important Glossaries for Factor of 299
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 299 are 1, 13, 23, and 299.
- Prime Factors: The factors which are prime numbers. For example, 13 and 23 are prime factors of 299.
- 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 299 are (1, 299) and (13, 23).
- Prime factorization: Breaking down a number into the product of prime numbers. For example, the prime factorization of 299 is 13 × 23.
- Multiplication method: A technique to find factors by identifying pairs of numbers that multiply to give the original number. For example, identifying 13 and 23 that multiply to give 299.
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About BrightChamps in Canada
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.
