118 LearnersLast updated on May 26th, 2025
Factors of 1790
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.
What are the Factors of 1790?
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
How to Find Factors of 1790?
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 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.
Finding Factors Using Division Method
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.
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 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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 1790
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 as 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 number. Always remember to include 1 and the number itself.
For example, in factors of 1790, 1 and 1790 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 1790 consist of -1, -2, -5, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor because 1790/1.5 = 1193.333, 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 1790 are prime numbers.
For example, 2, 5, and 179 are the prime factors of 1790, but it has other factors like 10, 358.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1790 as 2 × 5 × 179 and missing all the key factors.
Factors of 1790 Examples
Problem 1
There are 5 people and 1790 seeds. How will they distribute them equally?
They will get 358 seeds each.
Explanation
To distribute the seeds equally, we need to divide the total seeds by the number of people.
1790/5 = 358
Problem 2
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.
Explanation
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.
Problem 3
There are 10 rows and 1790 plants. How many plants will be in each row?
Each row will have 179 plants.
Explanation
To find the number of plants in each row, divide the total plants by the number of rows.
1790/10 = 179
Problem 4
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.
Explanation
Dividing the students by the total classes, we will get the number of students in each class.
1790/2 = 895
Problem 5
1790 books need to be arranged in 179 shelves. How many books will go on each shelf?
Each of the shelves has 10 books.
Explanation
Divide total books by shelves. 1
790/179 = 10
FAQs on Factors of 1790
1.What are the factors of 1790?
2.Mention the prime factors of 1790.
3.Is 1790 a multiple of 5?
4.Mention the factor pairs of 1790?
5.What is the square of 1790?
6.How can children in United States use numbers in everyday life to understand Factors of 1790?
7.What are some fun ways kids in United States can practice Factors of 1790 with numbers?
8.What role do numbers and Factors of 1790 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 1790 skills?
Important Glossaries for Factor of 1790
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1790 are 1, 2, 5, 10, 179, 358, 895, and 1790.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 179 are prime factors of 1790.
- 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 1790 are (1, 1790), (2, 895), etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1790 is 2 × 5 × 179.
- Multiplication method: Finding factors by identifying pairs of numbers that multiply to the given number. For example, using the multiplication method to find the factors of 1790.
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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.
