121 LearnersLast updated on May 26th, 2025
Factors of 799
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 799, how they are used in real life, and tips to learn them quickly.
What are the Factors of 799?
The numbers that divide 799 evenly are known as factors of 799.
A factor of 799 is a number that divides the number without remainder.
The factors of 799 are 1, 17, 47, and 799.
Negative factors of 799: -1, -17, -47, and -799.
Prime factors of 799: 17 and 47.
Prime factorization of 799: 17 × 47.
The sum of factors of 799: 1 + 17 + 47 + 799 = 864.
How to Find Factors of 799?
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 799. Identifying the numbers which are multiplied to get the number 799 is the multiplication method.
Step 1: Multiply 799 by 1, 799 × 1 = 799.
Step 2: Check for other numbers that give 799 after multiplying
17 × 47 = 799
Therefore, the positive factor pairs of 799 are: (1, 799) and (17, 47). All these factor pairs result in 799.
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 the simple division method
Step 1: Divide 799 by 1, 799 ÷ 1 = 799.
Step 2: Continue dividing 799 by the numbers until the remainder becomes 0.
799 ÷ 1 = 799
799 ÷ 17 = 47
799 ÷ 47 = 17
Therefore, the factors of 799 are: 1, 17, 47, 799.
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 799 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
799 ÷ 17 = 47
47 ÷ 47 = 1
The prime factors of 799 are 17 and 47.
The prime factorization of 799 is: 17 × 47.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 799 is divided by 17 to get 47.
Step 2: Now divide 47 by 47 to get 1. Here, 47 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 799 is: 17 × 47.
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 799: (1, 799) and (17, 47).
Negative factor pairs of 799: (-1, -799) and (-17, -47).
Common Mistakes and How to Avoid Them in Factors of 799
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 factors for every word. Always remember to include 1 and the number itself.
For example, in factors of 799, 1 and 799 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 799 consist of -1, -17, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 799/1.5 ≈ 532.67, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 799 are prime numbers.
For example, 17 and 47 are the prime factors of 799, but it has other factors like 1, 799.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 799 as 17 × 47 and missing all the key factors.
Factors of 799 Examples
Problem 1
There are 17 friends and 799 candies. How will they divide it equally?
They will get 47 candies each.
Explanation
To divide the candies equally, we need to divide the total candies with the number of friends.
799/17 = 47
Problem 2
A bridge is 47 meters across and the total area is 799 square meters. Find the length?
17 meters.
Explanation
To find the length of the bridge, we use the formula, Area = length × width
799 = length × 47
To find the value of length, we need to shift 47 to the left side.
799/47 = length
Length = 17.
Problem 3
There are 1 bag and 799 marbles. How many marbles will be in each bag?
The bag will have 799 marbles.
Explanation
To find the marbles in each bag, divide the total marbles with the number of bags.
799/1 = 799
Problem 4
There are 799 students in 47 classes. How many students are there in each class?
There are 17 students in each class.
Explanation
Dividing the students with the total classes, we will get the number of students in each class.
799/47 = 17
Problem 5
799 books need to be arranged in 17 shelves. How many books will go on each shelf?
Each of the shelves has 47 books.
Explanation
Divide total books with shelves.
799/17 = 47
FAQs on Factors of 799
1.What are the factors of 799?
2.Mention the prime factors of 799.
3.Is 799 a multiple of 17?
4.Mention the factor pairs of 799?
5.What is the square of 799?
6.How can children in Thailand use numbers in everyday life to understand Factors of 799?
7.What are some fun ways kids in Thailand can practice Factors of 799 with numbers?
8.What role do numbers and Factors of 799 play in helping children in Thailand develop problem-solving skills?
9.How can families in Thailand create number-rich environments to improve Factors of 799 skills?
Important Glossaries for Factor of 799
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 799 are 1, 17, 47, and 799.
- Prime factors: The factors which are prime numbers. For example, 17 and 47 are prime factors of 799.
- 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 799 are (1, 799) and (17, 47).
- Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 799 is 17 × 47.
- Negative factors: Factors that are negative numbers. For example, the negative factors of 799 are -1, -17, -47, and -799.
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About BrightChamps in Thailand
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.
