135 LearnersLast updated on May 28th, 2025
Factors of 1591
Factors are the 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 1591, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1591?
The numbers that divide 1591 evenly are known as factors of 1591.
A factor of 1591 is a number that divides the number without remainder.
The factors of 1591 are 1, 11, 23, 69, 121, 253, 1591.
Negative factors of 1591: -1, -11, -23, -69, -121, -253, -1591.
Prime factors of 1591: 11 and 23.
Prime factorization of 1591: 11 × 23.
The sum of factors of 1591: 1 + 11 + 23 + 69 + 121 + 253 + 1591 = 2069
How to Find Factors of 1591?
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 1591. Identifying the numbers that are multiplied to get the number 1591 is the multiplication method.
Step 1: Multiply 1591 by 1, 1591 × 1 = 1591.
Step 2: Check for other numbers that give 1591 after multiplying
11 × 23 = 253
Therefore, the positive factor pairs of 1591 are: (1, 1591), (11, 23), (23, 69), (69, 23), (121, 13), (253, 6), (1591, 1).
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 1591 by 1, 1591 ÷ 1 = 1591.
Step 2: Continue dividing 1591 by the numbers until the remainder becomes 0.
1591 ÷ 1 = 1591
1591 ÷ 11 = 23
1591 ÷ 23 = 69
1591 ÷ 69 = 23
1591 ÷ 121 = 13
1591 ÷ 253 = 6
Therefore, the factors of 1591 are: 1, 11, 23, 69, 121, 253, 1591.
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 1591 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1591 ÷ 11 = 145
145 ÷ 11 = 13
The prime factors of 1591 are 11 and 23.
The prime factorization of 1591 is: 11 × 23.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1591 is divided by 11 to get 145.
Step 2: Now divide 145 by 11 to get 13.
Here, 13 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1591 is: 11 × 23.
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 1591: (1, 1591), (11, 23).
Negative factor pairs of 1591: (-1, -1591), (-11, -23).
Common Mistakes and How to Avoid Them in Factors of 1591
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 1591, 1 and 1591 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 1591 consist of -1, -11, -23, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 1591/1.5 does not give 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 1591 are prime numbers.
For example, 11 and 23 are the prime factors of 1591, but it has other factors like 1, 69, and 253.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1591 as 11 × 23 and missing all the key factors.
Factors of 1591 Examples
Problem 1
A workshop has 1591 screws and needs to distribute them equally among 11 boxes. How many screws will each box get?
Each box will get 145 screws.
Explanation
To distribute the screws equally, we divide the total screws by the number of boxes.
1591/11 = 145
Problem 2
A rectangular garden has an area of 1591 square meters with a width of 23 meters. What is the length of the garden?
69 meters.
Explanation
To find the length of the garden, we use the formula,
Area = length × width
1591 = length × 23
To find the value of the length, divide 1591 by 23.
1591/23 = 69
Problem 3
There are 253 books to be placed into 11 shelves. How many books will be on each shelf?
Each shelf will have 23 books.
Explanation
To find the books on each shelf, divide the total books by the shelves.
253/11 = 23
Problem 4
In a sports club, there are 1591 members and 23 different groups. How many members are there in each group?
There are 69 members in each group.
Explanation
Dividing the members by the total groups, we get the number of members in each group.
1591/23 = 69
Problem 5
1591 apples need to be packed into 121 boxes. How many apples will go into each box?
Each box will have 13 apples.
Explanation
Divide the total apples by the number of boxes.
1591/121 = 13
FAQs on Factors of 1591
1.What are the factors of 1591?
2.Mention the prime factors of 1591.
3.Is 1591 a multiple of 11?
4.Mention the factor pairs of 1591?
5.What is the square of 1591?
6.How can children in Singapore use numbers in everyday life to understand Factors of 1591?
7.What are some fun ways kids in Singapore can practice Factors of 1591 with numbers?
8.What role do numbers and Factors of 1591 play in helping children in Singapore develop problem-solving skills?
9.How can families in Singapore create number-rich environments to improve Factors of 1591 skills?
Important Glossaries for Factor of 1591
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1591 are 1, 11, 23, 69, 121, 253, and 1591.
- Prime factors: The factors which are prime numbers. For example, 11 and 23 are prime factors of 1591.
- 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 1591 are (1, 1591), (11, 23).
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1591 is 11 × 23.
- Divisors: Numbers that divide another number completely without leaving a remainder. For example, 11 is a divisor of 1591.
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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.
