138 LearnersLast updated on May 26th, 2025
Factors of 1805
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 1805, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1805?
The numbers that divide 1805 evenly are known as factors of 1805.
A factor of 1805 is a number that divides the number without remainder.
The factors of 1805 are 1, 5, 19, 95, 37, 185, 361, and 1805.
Negative factors of 1805: -1, -5, -19, -95, -37, -185, -361, and -1805.
Prime factors of 1805: 5, 19, and 37.
Prime factorization of 1805: 5 × 19 × 37.
The sum of factors of 1805: 1 + 5 + 19 + 95 + 37 + 185 + 361 + 1805 = 2508
How to Find Factors of 1805?
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 1805. Identifying the numbers which are multiplied to get the number 1805 is the multiplication method.
Step 1: Multiply 1805 by 1, 1805 × 1 = 1805.
Step 2: Check for other numbers that give 1805 after multiplying
5 × 361 = 1805
19 × 95 = 1805
37 × 49 = 1805
Therefore, the positive factor pairs of 1805 are: (1, 1805), (5, 361), (19, 95), (37, 49).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number 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 1805 by 1, 1805 ÷ 1 = 1805.
Step 2: Continue dividing 1805 by the numbers until the remainder becomes 0.
1805 ÷ 1 = 1805
1805 ÷ 5 = 361
1805 ÷ 19 = 95
1805 ÷ 37 = 49
Therefore, the factors of 1805 are: 1, 5, 19, 37, 49, 95, 361, 1805.
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 1805 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1805 ÷ 5 = 361
361 ÷ 19 = 19
19 ÷ 19 = 1
The prime factors of 1805 are 5, 19, and 37.
The prime factorization of 1805 is: 5 × 19 × 37.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 1805 is divided by 5 to get 361.
Step 2: Now divide 361 by 19 to get 19.
Step 3: Divide 19 by 19 to get 1.
All remaining numbers are primes.
So, the prime factorization of 1805 is: 5 × 19 × 37.
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 1805: (1, 1805), (5, 361), (19, 95), (37, 49).
Negative factor pairs of 1805: (-1, -1805), (-5, -361), (-19, -95), (-37, -49).
Common Mistakes and How to Avoid Them in Factors of 1805
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1805, 1 and 1805 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 1805 consist of -1, -5, -19, 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 2.5 as a factor because 1805/2.5 = 722, 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 1805 are prime numbers.
For example, 5, 19, and 37 are the prime factors of 1805, but it has other factors like 95, 361.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1805 as 5 × 19 × 37 and missing all the key factors.
Factors of 1805 Examples
Problem 1
There are 5 baskets and 1805 apples. How will they distribute it equally?
Each basket will contain 361 apples.
Explanation
To divide the apples equally, we need to divide the total apples by the number of baskets.
1805/5 = 361
Problem 2
A rectangular garden has a length of 37 meters and a total area of 1805 square meters. Find the width.
49 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1805 = 37 × width
To find the value of width, we need to shift 37 to the left side.
1805/37 = width
Width = 49.
Problem 3
There are 19 students and 1805 pencils. How many pencils will each student receive?
Each student will receive 95 pencils.
Explanation
To find the pencils each student receives, divide the total pencils by the number of students.
1805/19 = 95
Problem 4
A class has 95 chairs arranged in 19 rows. How many chairs are in each row?
There are 5 chairs in each row.
Explanation
Dividing the total chairs by the number of rows, we will get the number of chairs in each row.
95/19 = 5
Problem 5
1805 books need to be arranged in 37 shelves. How many books will go on each shelf?
Each of the shelves has 49 books.
Explanation
Divide the total books by the number of shelves.
1805/37 = 49
FAQs on Factors of 1805
1.What are the factors of 1805?
2.Mention the prime factors of 1805.
3.Is 1805 a multiple of 5?
4.Mention the factor pairs of 1805?
5.What is the square of 1805?
6.How can children in Canada use numbers in everyday life to understand Factors of 1805?
7.What are some fun ways kids in Canada can practice Factors of 1805 with numbers?
8.What role do numbers and Factors of 1805 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 1805 skills?
Important Glossaries for Factors of 1805
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1805 are 1, 5, 19, 37, 49, 95, 361, and 1805.
- Prime factors: The factors which are prime numbers. For example, 5, 19, and 37 are prime factors of 1805.
- 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 1805 are (1, 1805), (5, 361), etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1805 is 5 × 19 × 37.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number. For example, the factors of 1805 can be found by multiplication as 5 × 361 = 1805.
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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
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