120 LearnersLast updated on May 26th, 2025
Factors of 1899
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 1899, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1899?
The numbers that divide 1899 evenly are known as factors of 1899. A factor of 1899 is a number that divides the number without remainder.
The factors of 1899 are 1, 3, 7, 21, 27, 63, 91, 189, 271, 567, 633, and 1899.
Negative factors of 1899: -1, -3, -7, -21, -27, -63, -91, -189, -271, -567, -633, and -1899.
Prime factors of 1899: 3, 7, and 271.
Prime factorization of 1899: 3 × 3 × 7 × 271.
The sum of factors of 1899: 1 + 3 + 7 + 21 + 27 + 63 + 91 + 189 + 271 + 567 + 633 + 1899 = 3772
How to Find Factors of 1899?
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 1899. Identifying the numbers which are multiplied to get the number 1899 is the multiplication method.
Step 1: Multiply 1899 by 1, 1899 × 1 = 1899.
Step 2: Check for other numbers that give 1899 after multiplying
3 × 633 = 1899
7 × 271 = 1899
21 × 91 = 1899
27 × 63 = 1899
Therefore, the positive factor pairs of 1899 are: (1, 1899), (3, 633), (7, 271), (21, 91), (27, 63). All these factor pairs result in 1899. 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 in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1899 by 1, 1899 ÷ 1 = 1899.
Step 2: Continue dividing 1899 by the numbers until the remainder becomes 0.
1899 ÷ 1 = 1899
1899 ÷ 3 = 633
1899 ÷ 7 = 271
1899 ÷ 21 = 91
1899 ÷ 27 = 63
Therefore, the factors of 1899 are: 1, 3, 7, 21, 27, 63, 91, 189, 271, 567, 633, 1899.
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 1899 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1899 ÷ 3 = 633
633 ÷ 3 = 211
211 ÷ 7 = 271
271 ÷ 271 = 1
The prime factors of 1899 are 3, 7, and 271.
The prime factorization of 1899 is: 3 × 3 × 7 × 271.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1899 is divided by 3 to get 633.
Step 2: Now divide 633 by 3 to get 211.
Step 3: Then divide 211 by 7 to get 271. Here, 271 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 1899 is: 3 × 3 × 7 × 271.
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 1899: (1, 1899), (3, 633), (7, 271), (21, 91), and (27, 63).
Negative factor pairs of 1899: (-1, -1899), (-3, -633), (-7, -271), (-21, -91), and (-27, -63).
Common Mistakes and How to Avoid Them in Factors of 1899
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 1899, 1 and 1899 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 1899 consist of -1, -3, -7, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1899/1.5 = 1266, 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 1899 are prime numbers.
For example, 3, 7, and 271 are the prime factors of 1899, but it has other factors like 21, 27.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1899 as 3 × 3 × 7 × 271 and missing all the key factors.
Factors of 1899 Examples
Problem 1
There are 9 friends and 1899 marbles. How will they divide it equally?
They will get 211 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles by the number of friends.
1899/9 = 211
Problem 2
A field is rectangular, the length of the field is 27 meters and the total area is 1899 square meters. Find the width?
63 meters.
Explanation
To find the width of the field, we use the formula, Area = length × width
1899 = 27 × width
To find the value of width, we need to shift 27 to the left side.
1899/27 = width
Width = 63.
Problem 3
There are 3 containers and 1899 apples. How many apples will be in each container?
Each container will have 633 apples.
Explanation
To find the apples in each container, divide the total apples by the containers.
1899/3 = 633
Problem 4
In a class, there are 1899 students, and 21 groups. How many students are there in each group?
There are 91 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1899/21 = 91
Problem 5
1899 books need to be arranged in 7 shelves. How many books will go on each shelf?
Each of the shelves has 271 books.
Explanation
Divide total books by shelves.
1899/7 = 271
FAQs on Factors of 1899
1.What are the factors of 1899?
2.Mention the prime factors of 1899.
3.Is 1899 a multiple of 9?
4.Mention the factor pairs of 1899?
5.What is the square of 1899?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1899?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1899 with numbers?
8.What role do numbers and Factors of 1899 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 1899 skills?
Important Glossaries for Factors of 1899
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1899 are 1, 3, 7, 21, 27, 63, 91, 189, 271, 567, 633, and 1899.
- Prime factors: The factors which are prime numbers. For example, 3, 7, and 271 are prime factors of 1899.
- 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 1899 are (1, 1899), (3, 633), etc.
- Prime factorization: Breaking down a number into its prime factors, such as 1899 = 3 × 3 × 7 × 271.
- Multiples: Numbers that are the product of a number and an integer. For example, 1899 is a multiple of 9.
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About BrightChamps in United Arab Emirates
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.
