101 LearnersLast updated on May 26th, 2025
Factors of 1713
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 1713, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1713?
The numbers that divide 1713 evenly are known as factors of 1713.
A factor of 1713 is a number that divides the number without remainder.
The factors of 1713 are 1, 3, 9, 19, 27, 57, 171, 513, and 1713.
Negative factors of 1713: -1, -3, -9, -19, -27, -57, -171, -513, and -1713.
Prime factors of 1713: 3 and 19.
Prime factorization of 1713: 33 × 19.
The sum of factors of 1713: 1 + 3 + 9 + 19 + 27 + 57 + 171 + 513 + 1713 = 2512
How to Find Factors of 1713?
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 1713. Identifying the numbers which are multiplied to get the number 1713 is the multiplication method.
Step 1: Multiply 1713 by 1, 1713 × 1 = 1713.
Step 2: Check for other numbers that give 1713 after multiplying
3 × 571 = 1713
9 × 190 = 1713
19 × 90 = 1713
27 × 63 = 1713
57 × 30 = 1713
Therefore, the positive factor pairs of 1713 are: (1, 1713), (3, 571), (9, 190), (19, 90), (27, 63), (57, 30).
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 simple division method
Step 1: Divide 1713 by 1, 1713 ÷ 1 = 1713.
Step 2: Continue dividing 1713 by the numbers until the remainder becomes 0.
1713 ÷ 1 = 1713
1713 ÷ 3 = 571
1713 ÷ 9 = 190
1713 ÷ 19 = 90
1713 ÷ 27 = 63
1713 ÷ 57 = 30
Therefore, the factors of 1713 are: 1, 3, 9, 19, 27, 57, 171, 513, 1713.
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 1713 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1713 ÷ 3 = 571
571 ÷ 3 = 190
190 ÷ 3 = 63
63 ÷ 3 = 21
21 ÷ 3 = 7
7 ÷ 7 = 1
The prime factors of 1713 are 3 and 19.
The prime factorization of 1713 is: 33 × 19.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1713 is divided by 3 to get 571.
Step 2: Now divide 571 by 3 to get 190.
Step 3: Then divide 190 by 3 to get 63.
Step 4: Divide 63 by 3 to get 21.
Step 5: Divide 21 by 3 to get 7. Here, 7 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1713 is: 33 × 19.
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 1713: (1, 1713), (3, 571), (9, 190), (19, 90), (27, 63), and (57, 30).
Negative factor pairs of 1713: (-1, -1713), (-3, -571), (-9, -190), (-19, -90), (-27, -63), and (-57, -30).
Common Mistakes and How to Avoid Them in Factors of 1713
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 1713, 1 and 1713 are also factors.
Factors of 1713 Examples
Problem 1
There are 3 friends and 1713 candies. How will they divide it equally?
They will get 571 candies each.
Explanation
To divide the candies equally, we need to divide the total candies with the number of friends.
1713/3 = 571
Problem 2
A garden is rectangular, the length of the garden is 57 meters and the total area is 1713 square meters. Find the width?
30 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1713 = 57 × width
To find the value of width, we need to shift 57 to the left side.
1713/57 = width
Width = 30.
Problem 3
There are 27 boxes and 1713 marbles. How many marbles will be in each box?
Each box will have 63 marbles.
Explanation
To find the marbles in each box, divide the total marbles with the boxes.
1713/27 = 63
Problem 4
In a class, there are 1713 students, and 19 groups. How many students are there in each group?
There are 90 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
1713/19 = 90
Problem 5
1713 books need to be arranged in 9 shelves. How many books will go on each shelf?
Each of the shelves has 190 books.
Explanation
Divide total books with shelves.
1713/9 = 190
FAQs on Factors of 1713
1.What are the factors of 1713?
2.Mention the prime factors of 1713.
3.Is 1713 a multiple of 9?
4.Mention the factor pairs of 1713?
5.What is the square of 1713?
6.How can children in Qatar use numbers in everyday life to understand Factors of 1713?
7.What are some fun ways kids in Qatar can practice Factors of 1713 with numbers?
8.What role do numbers and Factors of 1713 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 1713 skills?
Important Glossaries for Factor of 1713
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1713 are 1, 3, 9, 19, 27, 57, 171, 513, and 1713.
- Prime factors: The factors which are prime numbers. For example, 3 and 19 are prime factors of 1713.
- 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 1713 are (1, 1713), (3, 571), etc.
- Prime factorization: Breaking down a number into the product of its prime factors. For example, the prime factorization of 1713 is 33 × 19.
- Negative factors: Factors can also be negative. For example, -1, -3, -9, -19, -27, -57, -171, -513, and -1713 are negative factors of 1713.
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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.
