137 LearnersLast updated on May 26th, 2025
Factors of 1733
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 1733, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1733?
The numbers that divide 1733 evenly are known as factors of 1733.
A factor of 1733 is a number that divides the number without remainder.
The factors of 1733 are 1, 19, 91, and 1733.
Negative factors of 1733: -1, -19, -91, and -1733.
Prime factors of 1733: 19 and 91.
Prime factorization of 1733: 19 × 91.
The sum of factors of 1733: 1 + 19 + 91 + 1733 = 1844
How to Find Factors of 1733?
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 1733. Identifying the numbers which are multiplied to get the number 1733 is the multiplication method.
Step 1: Multiply 1733 by 1, 1733 × 1 = 1733.
Step 2: Check for other numbers that give 1733 after multiplying 19 × 91 = 1733
Therefore, the positive factor pairs of 1733 are: (1, 1733) and (19, 91).
All these factor pair result in 1733.
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 1733 by 1, 1733 ÷ 1 = 1733.
Step 2: Continue dividing 1733 by the numbers until the remainder becomes 0.
1733 ÷ 1 = 1733
1733 ÷ 19 = 91
Therefore, the factors of 1733 are: 1, 19, 91, and 1733.
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 1733 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1733 ÷ 19 = 91
91 ÷ 91 = 1
The prime factors of 1733 are 19 and 91.
The prime factorization of 1733 is: 19 × 91.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1733 is divided by 19 to get 91.
Step 2: Now divide 91 by 91 to get 1. Here, 91 is a composite number that can be further divided into prime factors (7 and 13).
So, the prime factorization of 1733 is: 19 × 7 × 13.
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 1733: (1, 1733) and (19, 91).
Negative factor pairs of 1733: (-1, -1733) and (-19, -91).
Common Mistakes and How to Avoid Them in Factors of 1733
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 1733, 1 and 1733 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 1733 consist of -1, -19, 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 is a factor, because 1733/1.5 = 1155.333, 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 1733 are prime numbers.
For example, 19 and 91 are the prime factors of 1733, but it has other factors like 1 and 1733.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1733 as 19 × 91 and missing all the key factors.
Factors of 1733 Examples
Problem 1
There are 1733 stickers and 19 students. How will they divide them equally?
They will get 91 stickers each.
Explanation
To divide the stickers equally, we need to divide the total stickers by the number of students.
1733/19 = 91
Problem 2
A rectangular banner has a length of 1733 cm and a width of 19 cm. What is the area of the banner?
The area is 32,927 square cm.
Explanation
To find the area of the banner, we use the formula,
Area = length × width
1733 × 19 = 32,927
Problem 3
There are 91 volunteers and 1733 gift bags. How many gift bags will each volunteer get?
Each volunteer will get 19 gift bags.
Explanation
To find the number of gift bags each volunteer gets, divide the total gift bags by the number of volunteers.
1733/91 = 19
Problem 4
A classroom has 1733 Lego blocks and 7 containers. How many blocks go in each container?
Each container will have 247 blocks.
Explanation
Dividing the blocks by the total containers, we will get the number of blocks in each container.
1733/7 = 247
Problem 5
1733 books need to be arranged in 13 shelves. How many books will go on each shelf?
Each of the shelves has 133 books.
Explanation
Divide total books by shelves.
1733/13 = 133
FAQs on Factors of 1733
1.What are the factors of 1733?
2.Mention the prime factors of 1733.
3.Is 1733 a multiple of 19?
4.Mention the factor pairs of 1733?
5.What is the square of 1733?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 1733?
7.What are some fun ways kids in Bahrain can practice Factors of 1733 with numbers?
8.What role do numbers and Factors of 1733 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 1733 skills?
Important Glossaries for Factor of 1733
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1733 are 1, 19, 91, and 1733.
- Prime factors: The factors which are prime numbers. For example, 19 and 91 are prime factors of 1733.
- 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 1733 are (1, 1733) and (19, 91).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1733 is 19 × 7 × 13.
- Multiplication method: A way to find factors by identifying pairs of numbers that multiply to the number. For instance, (19, 91) are factors of 1733 because 19 × 91 = 1733.
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About BrightChamps in Bahrain
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.
