120 LearnersLast updated on May 26th, 2025
Factors of 790
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 790, how they are used in real life, and tips to learn them quickly.
What are the Factors of 790?
The numbers that divide 790 evenly are known as factors of 790.
factor of 790 is a number that divides the number without remainder.
The factors of 790 are 1, 2, 5, 10, 79, 158, 395, and 790.
Negative factors of 790: -1, -2, -5, -10, -79, -158, -395, and -790.
Prime factors of 790: 2, 5, and 79.
Prime factorization of 790: 2 × 5 × 79.
The sum of factors of 790: 1 + 2 + 5 + 10 + 79 + 158 + 395 + 790 = 1440
How to Find Factors of 790?
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 790. Identifying the numbers which are multiplied to get the number 790 is the multiplication method.
Step 1: Multiply 790 by 1, 790 × 1 = 790.
Step 2: Check for other numbers that give 790 after multiplying
2 × 395 = 790
5 × 158 = 790
10 × 79 = 790
Therefore, the positive factor pairs of 790 are: (1, 790), (2, 395), (5, 158), (10, 79).
All these factor pairs result in 790.
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 790 by 1, 790 ÷ 1 = 790.
Step 2: Continue dividing 790 by the numbers until the remainder becomes 0.
790 ÷ 1 = 790
790 ÷ 2 = 395
790 ÷ 5 = 158
790 ÷ 10 = 79
Therefore, the factors of 790 are: 1, 2, 5, 10, 79, 158, 395, 790.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 790 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
790 ÷ 2 = 395
395 ÷ 5 = 79
79 ÷ 79 = 1
The prime factors of 790 are 2, 5, and 79.
The prime factorization of 790 is: 2 × 5 × 79.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 790 is divided by 2 to get 395.
Step 2: Now divide 395 by 5 to get 79.
Step 3: 79 is a prime number that cannot be divided anymore. So, the prime factorization of 790 is: 2 × 5 × 79.
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 790: (1, 790), (2, 395), (5, 158), and (10, 79).
Negative factor pairs of 790: (-1, -790), (-2, -395), (-5, -158), and (-10, -79).
Common Mistakes and How to Avoid Them in Factors of 790
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 word. Always remember to include 1 and the number itself.
For example, in factors of 790, 1 and 790 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 790 consist of -1, -2, -5, etc.
Mistake 3
Including the Fraction
Children might sometimes add fraction also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 790/1.5 ≈ 526.666, 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 790 are prime numbers.
For example, 2, 5, and 79 are the prime factors of 790, but it has other factors like 10, 158.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 790 as 2 × 5 × 79 and missing all the key factors.
Factors of 790 Examples
Problem 1
There are 790 apples and 10 baskets. How many apples will go in each basket?
Each basket will have 79 apples.
Explanation
To divide the apples equally, we need to divide the total apples by the number of baskets.
790/10 = 79
Problem 2
A room is 5 meters wide and has a total area of 790 square meters. Find the length of the room.
158 meters.
Explanation
To find the length of the room, we use the formula, Area = length × width
790 = 5 × length
To find the value of length, we need to shift 5 to the left side.
790/5 = length
Length = 158.
Problem 3
There are 395 chairs and each row has 2 chairs. How many rows are there?
There are 197.5 rows, but since we can't have a half row, it indicates a problem with the arrangement.
Explanation
To find the number of rows, divide the total chairs by the number of chairs per row.
395/2 = 197.5
Since we can't have half a row, the arrangement needs adjustment.
Problem 4
In a class, there are 790 students, and 79 groups. How many students are there in each group?
There are 10 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
790/79 = 10
Problem 5
790 books need to be arranged on 5 shelves. How many books will go on each shelf?
Each of the shelves has 158 books.
Explanation
Divide total books by shelves.
790/5 = 158
FAQs on Factors of 790
1.What are the factors of 790?
2.Mention the prime factors of 790.
3.Is 790 a multiple of 10?
4.Mention the factor pairs of 790?
5.What is the square of 790?
6.How can children in United Kingdom use numbers in everyday life to understand Factors of 790?
7.What are some fun ways kids in United Kingdom can practice Factors of 790 with numbers?
8.What role do numbers and Factors of 790 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Factors of 790 skills?
Important Glossaries for Factors of 790
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 790 are 1, 2, 5, 10, 79, 158, 395, and 790.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 79 are prime factors of 790.
- 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 790 are (1, 790), (2, 395), etc.
- Multiplication method: A way of finding factors by identifying pairs of numbers that multiply to the original number.
- Division method: A technique to find factors by dividing the number by whole numbers until the remainder is zero.
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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.
