114 LearnersLast updated on May 26th, 2025
Factors of 1933
Factors are 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 1933, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1933?
The numbers that divide 1933 evenly are known as factors of 1933.
A factor of 1933 is a number that divides the number without a remainder.
The factors of 1933 are 1, 19, 101, and 1933.
Negative factors of 1933: -1, -19, -101, and -1933.
Prime factors of 1933: 19 and 101.
Prime factorization of 1933: 19 × 101.
The sum of factors of 1933: 1 + 19 + 101 + 1933 = 2054
How to Find Factors of 1933?
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 1933. Identifying the numbers which are multiplied to get the number 1933 is the multiplication method.
Step 1: Multiply 1933 by 1, 1933 × 1 = 1933.
Step 2: Check for other numbers that give 1933 after multiplying: 19 × 101 = 1933
Therefore, the positive factor pairs of 1933 are: (1, 1933) and (19, 101).
All these factor pairs result in 1933.
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 as whole numbers as factors. Factors can be calculated by following the simple division method:
Step 1: Divide 1933 by 1, 1933 ÷ 1 = 1933.
Step 2: Continue dividing 1933 by the numbers until the remainder becomes 0.
1933 ÷ 1 = 1933
1933 ÷ 19 = 101
1933 ÷ 101 = 19
Therefore, the factors of 1933 are: 1, 19, 101, 1933.
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 1933 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1933 ÷ 19 = 101
101 ÷ 101 = 1
The prime factors of 1933 are 19 and 101.
The prime factorization of 1933 is: 19 × 101.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 1933 is divided by 19 to get 101.
Step 2: Now divide 101 by 101 to get 1. Here, both 19 and 101 are prime numbers that cannot be divided anymore. So, the prime factorization of 1933 is: 19 × 101.
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 1933: (1, 1933) and (19, 101).
Negative factor pairs of 1933: (-1, -1933) and (-19, -101).
Common Mistakes and How to Avoid Them in Factors of 1933
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 number. Always remember to include 1 and the number itself.
For example, in factors of 1933, 1 and 1933 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, so always check whether you have mentioned negative factors.
For example, the factors of 1933 include -1, -19, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 is a factor because 1933/1.5 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 1933 are prime numbers. 19 and 101 are the prime factors of 1933, but it has other factors like 1 and 1933.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing incorrect factors.
For example, not breaking 1933 as 19 × 101 and missing all the key factors.
Factors of 1933 Examples
Problem 1
There are 19 students and 1933 pencils. How will they divide it equally?
They will get 101 pencils each.
Explanation
To divide the pencils equally, we need to divide the total pencils by the number of students.
1933/19 = 101
Problem 2
A rectangular field has a width of 19 meters and a total area of 1933 square meters. Find the length.
101 meters.
Explanation
To find the length of the field, we use the formula,
Area = length × width
1933 = length × 19
To find the value of length, we need to shift 19 to the left side.
1933/19 = length
Length = 101.
Problem 3
There are 101 boxes and 1933 items. How many items will be in each box?
Each box will have 19 items.
Explanation
To find the items in each box, divide the total items by the number of boxes.
1933/101 = 19
Problem 4
In a company, there are 1933 employees, and 19 teams. How many employees are there in each team?
There are 101 employees in each team.
Explanation
Dividing the employees by the total teams, we will get the number of employees in each team.
1933/19 = 101
Problem 5
1933 books need to be arranged in 19 shelves. How many books will go on each shelf?
Each shelf will have 101 books.
Explanation
Divide total books by shelves.
1933/19 = 101
FAQs on Factors of 1933
1.What are the factors of 1933?
2.Mention the prime factors of 1933.
3.Is 1933 a multiple of 19?
4.Mention the factor pairs of 1933.
5.What is the square of 1933?
6.How can children in Philippines use numbers in everyday life to understand Factors of 1933?
7.What are some fun ways kids in Philippines can practice Factors of 1933 with numbers?
8.What role do numbers and Factors of 1933 play in helping children in Philippines develop problem-solving skills?
9.How can families in Philippines create number-rich environments to improve Factors of 1933 skills?
Important Glossaries for Factors of 1933
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1933 are 1, 19, 101, and 1933.
- Prime factors: The factors which are prime numbers. For example, 19 and 101 are prime factors of 1933.
- 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 1933 are (1, 1933) and (19, 101).
- Multiples: A multiple is the result of multiplying a number by an integer. For example, 1933 is a multiple of 19.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1933 is 19 × 101.
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About BrightChamps in Philippines
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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