144 LearnersLast updated on May 26th, 2025
Factors of 1807
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 1807, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1807?
The numbers that divide 1807 evenly are known as factors of 1807.
A factor of 1807 is a number that divides the number without a remainder.
The factors of 1807 are 1, 19, 95, and 1807.
Negative factors of 1807: -1, -19, -95, and -1807.
Prime factors of 1807: 19 and 95.
Prime factorization of 1807: 19 × 95.
The sum of factors of 1807: 1 + 19 + 95 + 1807 = 1922
How to Find Factors of 1807?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 1807. Identifying the numbers which are multiplied to get the number 1807 is the multiplication method.
Step 1: Multiply 1807 by 1, 1807 × 1 = 1807.
Step 2: Check for other numbers that give 1807 after multiplying
19 × 95 = 1807
Therefore, the positive factor pairs of 1807 are: (1, 1807) and (19, 95).
All these factor pairs result in 1807.
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 1807 by 1, 1807 ÷ 1 = 1807.
Step 2: Continue dividing 1807 by the numbers until the remainder becomes 0.
1807 ÷ 1 = 1807
1807 ÷ 19 = 95
Therefore, the factors of 1807 are: 1, 19, 95, and 1807.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 1807 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1807 ÷ 19 = 95
95 ÷ 19 = 5
The prime factors of 1807 are 19 and 95.
The prime factorization of 1807 is: 19 × 95.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1807 is divided by 19 to get 95.
Step 2: Now divide 95 by 19 to get 5.
Here, 5 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1807 is: 19 × 95.
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 1807: (1, 1807) and (19, 95).
Negative factor pairs of 1807: (-1, -1807) and (-19, -95).
Common Mistakes and How to Avoid Them in Factors of 1807
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 1807, 1 and 1807 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 1807 consist of -1, -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 1.5 as a factor, because 1807/1.5 = 1204.6667, 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 1807 are prime numbers.
For example, 19 is a prime factor of 1807, but it has other factors like 95.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1807 as 19 × 95 and missing all the key factors.
Factors of 1807 Examples
Problem 1
A factory produces 1807 widgets in a single day. If the widgets are to be packed in boxes of 19, how many full boxes are there?
There will be 95 full boxes.
Explanation
To find the number of full boxes, divide the total widgets by the number of widgets per box.
1807/19 = 95
Problem 2
A rectangular plot has a length of 95 meters and an area of 1807 square meters. Find the width of the plot.
19 meters.
Explanation
To find the width of the plot, use the formula,
Area = length × width
1807 = 95 × width
To find the value of width, divide the area by the length.
1807/95 = width
Width = 19.
Problem 3
A library has 1807 books, and each shelf can hold 19 books. How many shelves are needed to hold all the books?
95 shelves are needed.
Explanation
To find the number of shelves, divide the total number of books by the number of books per shelf.
1807/19 = 95
Problem 4
A farmer has 1807 kilograms of grain which he wants to store in bags of 95 kilograms each. How many such bags can he fill?
19 bags can be filled.
Explanation
To find the number of bags, divide the total grain by the capacity of each bag.
1807/95 = 19
Problem 5
A conference has 1807 participants. If each table can accommodate 19 people, how many tables are required?
95 tables are required.
Explanation
Divide the total number of participants by the number of people each table can accommodate.
1807/19 = 95
FAQs on Factors of 1807
1.What are the factors of 1807?
2.Mention the prime factors of 1807.
3.Is 1807 a multiple of 19?
4.Mention the factor pairs of 1807?
5.What is the square of 1807?
6.How can children in Canada use numbers in everyday life to understand Factors of 1807?
7.What are some fun ways kids in Canada can practice Factors of 1807 with numbers?
8.What role do numbers and Factors of 1807 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 1807 skills?
Important Glossaries for Factor of 1807
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1807 are 1, 19, 95, and 1807.
- Prime factors: The factors which are prime numbers. For example, 19 is a prime factor of 1807.
- 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 1807 are (1, 1807) and (19, 95).
- Prime factorization: The process of breaking down a number into its prime factors. For instance, the prime factorization of 1807 is 19 × 95.
- Division method: A method to find factors by dividing the number with integers to see which ones divide evenly without a remainder.
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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.
