Last updated on May 26th, 2025
Factors are the numbers that divide any given number evenly without a 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 1790, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1790 evenly are known as factors of 1790.
A factor of 1790 is a number that divides the number without a remainder.
The factors of 1790 are 1, 2, 5, 10, 179, 358, 895, and 1790.
Negative factors of 1790: -1, -2, -5, -10, -179, -358, -895, and -1790.
Prime factors of 1790: 2, 5, and 179.
Prime factorization of 1790: 2 × 5 × 179.
The sum of factors of 1790: 1 + 2 + 5 + 10 + 179 + 358 + 895 + 1790 = 3240
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 1790. Identifying the numbers which are multiplied to get the number 1790 is the multiplication method.
Step 1: Multiply 1790 by 1, 1790 × 1 = 1790.
Step 2: Check for other numbers that give 1790 after multiplying
2 × 895 = 1790
5 × 358 = 1790
10 × 179 = 1790
Therefore, the positive factor pairs of 1790 are: (1, 1790), (2, 895), (5, 358), (10, 179).
All these factor pairs result in 1790. For every positive factor, there is a negative factor.
Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 1790 by 1, 1790 ÷ 1 = 1790.
Step 2: Continue dividing 1790 by the numbers until the remainder becomes 0.
1790 ÷ 1 = 1790
1790 ÷ 2 = 895
÷ 5 = 358
1790 ÷ 10 = 179
Therefore, the factors of 1790 are: 1, 2, 5, 10, 179, 358, 895, 1790.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1790 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1790 ÷ 2 = 895
895 ÷ 5 = 179
179 ÷ 179 = 1
The prime factors of 1790 are 2, 5, and 179.
The prime factorization of 1790 is: 2 × 5 × 179.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1790 is divided by 2 to get 895.
Step 2: Now divide 895 by 5 to get 179.
Step 3: Divide 179 by 179 to get 1. Here, all numbers are prime numbers, so the prime factorization of 1790 is: 2 × 5 × 179.
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 1790: (1, 1790), (2, 895), (5, 358), (10, 179).
Negative factor pairs of 1790: (-1, -1790), (-2, -895), (-5, -358), (-10, -179).
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 5 people and 1790 seeds. How will they distribute them equally?
They will get 358 seeds each.
To distribute the seeds equally, we need to divide the total seeds by the number of people.
1790/5 = 358
A rectangular garden has an area of 1790 square meters, and one side is 179 meters long. What is the length of the other side?
10 meters.
To find the length of the other side, we use the formula,
Area = length × width
1790 = 179 × width
To find the value of width, we need to shift 179 to the left side.
1790/179 = width
Width = 10.
There are 10 rows and 1790 plants. How many plants will be in each row?
Each row will have 179 plants.
To find the number of plants in each row, divide the total plants by the number of rows.
1790/10 = 179
In a school, there are 1790 students, and they need to be divided into 2 classes. How many students are there in each class?
There are 895 students in each class.
Dividing the students by the total classes, we will get the number of students in each class.
1790/2 = 895
1790 books need to be arranged in 179 shelves. How many books will go on each shelf?
Each of the shelves has 10 books.
Divide total books by shelves. 1
790/179 = 10
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.