Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 790 apples and 10 baskets. How many apples will go in each basket?
Each basket will have 79 apples.
To divide the apples equally, we need to divide the total apples by the number of baskets.
790/10 = 79
A room is 5 meters wide and has a total area of 790 square meters. Find the length of the room.
158 meters.
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.
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.
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.
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.
Dividing the students by the total groups, we will get the number of students in each group.
790/79 = 10
790 books need to be arranged on 5 shelves. How many books will go on each shelf?
Each of the shelves has 158 books.
Divide total books by shelves.
790/5 = 158
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.
: She loves to read number jokes and games.