131 LearnersLast updated on May 26th, 2025
Factors of 1795
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 1795, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1795?
The numbers that divide 1795 evenly are known as factors of 1795.
A factor of 1795 is a number that divides the number without remainder.
The factors of 1795 are 1, 5, 359, and 1795.
Negative factors of 1795: -1, -5, -359, and -1795.
Prime factors of 1795: 5 and 359.
Prime factorization of 1795: 5 × 359.
The sum of factors of 1795: 1 + 5 + 359 + 1795 = 2160
How to Find Factors of 1795?
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 1795. Identifying the numbers which are multiplied to get the number 1795 is the multiplication method.
Step 1: Multiply 1795 by 1, 1795 × 1 = 1795.
Step 2: Check for other numbers that give 1795 after multiplying
5 × 359 = 1795
Therefore, the positive factor pairs of 1795 are: (1, 1795) and (5, 359).
All these factor pairs result in 1795.
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 1795 by 1, 1795 ÷ 1 = 1795.
Step 2: Continue dividing 1795 by the numbers until the remainder becomes 0.
1795 ÷ 1 = 1795
1795 ÷ 5 = 359
Therefore, the factors of 1795 are: 1, 5, 359, and 1795.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. 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 1795 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1795 ÷ 5 = 359
359 ÷ 359 = 1
The prime factors of 1795 are 5 and 359.
The prime factorization of 1795 is: 5 × 359.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1795 is divided by 5 to get 359.
Here, 359 is a prime number that cannot be divided anymore.
So, the prime factorization of 1795 is: 5 × 359.
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 1795: (1, 1795) and (5, 359).
Negative factor pairs of 1795: (-1, -1795) and (-5, -359).
Common Mistakes and How to Avoid Them in Factors of 1795
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 1795, 1 and 1795 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 1795 consist of -1, -5, 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 1795/1.5 = 1196.666, 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 1795 are prime numbers.
For example, 5 and 359 are the prime factors of 1795, but it has other factors like 1, 1795.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1795 as 5 × 359 and missing all the key factors.
Factors of 1795 Examples
Problem 1
There are 5 friends and 1795 candies. How will they divide it equally?
They will get 359 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of friends.
1795/5 = 359
Problem 2
A field is rectangular, the length of the field is 359 meters, and the total area is 1795 square meters. Find the width?
5 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
1795 = 359 × width
To find the value of width, we need to shift 359 to the left side.
1795/359 = width
Width = 5.
Problem 3
There are 359 bags and 1795 candies. How many candies will be in each bag?
Each bag will have 5 candies.
Explanation
To find the candies in each bag, divide the total candies by the bags.
1795/359 = 5
Problem 4
In a class, there are 1795 students, and 5 groups. How many students are there in each group?
There are 359 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1795/5 = 359
Problem 5
1795 books need to be arranged in 5 shelves. How many books will go on each shelf?
Each of the shelves has 359 books.
Explanation
Divide total books by shelves.
1795/5 = 359
FAQs on Factors of 1795
1.What are the factors of 1795?
2.Mention the prime factors of 1795.
3.Is 1795 a multiple of 5?
4.Mention the factor pairs of 1795?
5.What is the square of 1795?
6.How can children in Canada use numbers in everyday life to understand Factors of 1795?
7.What are some fun ways kids in Canada can practice Factors of 1795 with numbers?
8.What role do numbers and Factors of 1795 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 1795 skills?
Important Glossaries for Factor of 1795
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1795 are 1, 5, 359, and 1795.
- Prime factors: The factors which are prime numbers. For example, 5 and 359 are prime factors of 1795.
- 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 1795 are (1, 1795), (5, 359).
- Multiples: A multiple is the product of a number and an integer. For example, 1795 is a multiple of 5.
- Prime factorization: The expression of a number as a product of prime numbers. For example, the prime factorization of 1795 is 5 × 359.
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About BrightChamps in Canada
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.
