128 LearnersLast updated on May 26th, 2025
Factors of 1720
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 1720, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1720?
The numbers that divide 1720 evenly are known as factors of 1720.
A factor of 1720 is a number that divides the number without remainder.
The factors of 1720 are 1, 2, 4, 5, 8, 10, 16, 20, 43, 86, 172, 215, 344, 430, 860, and 1720.
Negative factors of 1720: -1, -2, -4, -5, -8, -10, -16, -20, -43, -86, -172, -215, -344, -430, -860, and -1720.
Prime factors of 1720: 2, 5, and 43.
Prime factorization of 1720: 23 × 5 × 43.
The sum of factors of 1720: 1 + 2 + 4 + 5 + 8 + 10 + 16 + 20 + 43 + 86 + 172 + 215 + 344 + 430 + 860 + 1720 = 3936
How to Find Factors of 1720?
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 1720. Identifying the numbers which are multiplied to get the number 1720 is the multiplication method.
Step 1: Multiply 1720 by 1, 1720 × 1 = 1720.
Step 2: Check for other numbers that give 1720 after multiplying
2 × 860 = 1720
4 × 430 = 1720
5 × 344 = 1720
8 × 215 = 1720
10 × 172 = 1720
16 × 107.5 (not valid as 107.5 is not a whole number, so we skip it)
20 × 86 = 1720
43 × 40 = 1720
Therefore, the positive factor pairs of 1720 are: (1, 1720), (2, 860), (4, 430), (5, 344), (8, 215), (10, 172), (20, 86), and (43, 40).
All these factor pairs result in 1720.
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 1720 by 1, 1720 ÷ 1 = 1720.
Step 2: Continue dividing 1720 by the numbers until the remainder becomes 0.
1720 ÷ 1 = 1720
1720 ÷ 2 = 860
1720 ÷ 4 = 430
1720 ÷ 5 = 344
1720 ÷ 8 = 215
1720 ÷ 10 = 172
1720 ÷ 20 = 86
1720 ÷ 43 = 40
Therefore, the factors of 1720 are: 1, 2, 4, 5, 8, 10, 16, 20, 43, 86, 172, 215, 344, 430, 860, 1720.
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 1720 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1720 ÷ 2 = 860
860 ÷ 2 = 430
430 ÷ 2 = 215
215 ÷ 5 = 43
43 ÷ 43 = 1
The prime factors of 1720 are 2, 5, and 43.
The prime factorization of 1720 is: 23 × 5 × 43.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1720 is divided by 2 to get 860.
Step 2: Now divide 860 by 2 to get 430.
Step 3: Then divide 430 by 2 to get 215.
Step 4: Divide 215 by 5 to get 43. Here, 43 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1720 is: 23 × 5 × 43.
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 1720: (1, 1720), (2, 860), (4, 430), (5, 344), (8, 215), (10, 172), (20, 86), and (43, 40).
Negative factor pairs of 1720: (-1, -1720), (-2, -860), (-4, -430), (-5, -344), (-8, -215), (-10, -172), (-20, -86), and (-43, -40).
Common Mistakes and How to Avoid Them in Factors of 1720
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 1720, 1 and 1720 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1720 include -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as a factor. Only whole numbers can be a factor.
For example, thinking 107.5 as a factor, because 1720/16 = 107.5, 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 1720 are prime numbers.
For example, 2, 5, and 43 are the prime factors of 1720, but it has other factors like 4, 10.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1720 as 23 × 5 × 43 and missing all the key factors.
Factors of 1720 Examples
Problem 1
There are 8 teams and 1720 marbles. How will they divide them equally?
They will get 215 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles by the number of teams.
1720/8 = 215
Problem 2
A garden is rectangular, the length of the garden is 43 meters and the total area is 1720 square meters. Find the width?
40 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1720 = 43 × width
To find the value of width, we need to shift 43 to the left side.
1720/43 = width
Width = 40.
Problem 3
There are 43 boxes and 1720 candies. How many candies will be in each box?
Each box will have 40 candies.
Explanation
To find the candies in each box, divide the total candies by the boxes.
1720/43 = 40
Problem 4
In a factory, there are 5 machines, and they produce 1720 units. How many units does each machine produce?
Each machine produces 344 units.
Explanation
Dividing the total units by the number of machines, we will get the units produced by each machine.
1720/5 = 344
Problem 5
1720 books need to be arranged in 10 shelves. How many books will go on each shelf?
Each of the shelves has 172 books.
Explanation
Divide total books by shelves.
1720/10 = 172
FAQs on Factors of 1720
1.What are the factors of 1720?
2.Mention the prime factors of 1720.
3.Is 1720 a multiple of 4?
4.Mention the factor pairs of 1720?
5.What is the square of 1720?
6.How can children in Singapore use numbers in everyday life to understand Factors of 1720?
7.What are some fun ways kids in Singapore can practice Factors of 1720 with numbers?
8.What role do numbers and Factors of 1720 play in helping children in Singapore develop problem-solving skills?
9.How can families in Singapore create number-rich environments to improve Factors of 1720 skills?
Important Glossaries for Factors of 1720
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1720 are 1, 2, 4, 5, 8, 10, 16, 20, 43, 86, 172, 215, 344, 430, 860, and 1720.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 43 are prime factors of 1720.
- 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 1720 are (1, 1720), (2, 860), etc.
- Prime Factorization: Breaking down a number into its prime components, like 1720 = 23 × 5 × 43.
- Multiples: A number that can be divided by another number without a remainder. For example, 1720 is a multiple of 4.
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About BrightChamps in Singapore
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.
