135 LearnersLast updated on May 30th, 2025
Factors of 1599
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 1599, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1599?
The numbers that divide 1599 evenly are known as factors of 1599.
A factor of 1599 is a number that divides the number without a remainder.
The factors of 1599 are 1, 3, 11, 33, 48, 53, 144, 159, 176, 479, 533, and 1599.
Negative factors of 1599: -1, -3, -11, -33, -48, -53, -144, -159, -176, -479, -533, and -1599.
Prime factors of 1599: 3, 11, and 53.
Prime factorization of 1599: 3 × 11 × 53.
The sum of factors of 1599: 1 + 3 + 11 + 33 + 48 + 53 + 144 + 159 + 176 + 479 + 533 + 1599 = 3240
How to Find Factors of 1599?
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 1599. Identifying the numbers which are multiplied to get the number 1599 is the multiplication method.
Step 1: Multiply 1599 by 1, 1599 × 1 = 1599.
Step 2: Check for other numbers that give 1599 after multiplying
3 × 533 = 1599
11 × 145 = 1599
33 × 48 = 1599
Therefore, the positive factor pairs of 1599 are: (1, 1599), (3, 533), (11, 145), (33, 48).
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 in whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 1599 by 1, 1599 ÷ 1 = 1599.
Step 2: Continue dividing 1599 by the numbers until the remainder becomes 0.
1599 ÷ 1 = 1599
1599 ÷ 3 = 533
1599 ÷ 11 = 145
1599 ÷ 33 = 48
Therefore, the factors of 1599 are: 1, 3, 11, 33, 48, 53, 144, 159, 176, 479, 533, 1599.
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 1599 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1599 ÷ 3 = 533
533 ÷ 11 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1
The prime factors of 1599 are 3, 11, and 53.
The prime factorization of 1599 is: 3 × 11 × 53.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1599 is divided by 3 to get 533.
Step 2: Now divide 533 by 11 to get 49.
Step 3: Then divide 49 by 7 to get 7.
Here, 7 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1599 is: 3 × 11 × 53.
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 1599: (1, 1599), (3, 533), (11, 145), and (33, 48).
Negative factor pairs of 1599: (-1, -1599), (-3, -533), (-11, -145), and (-33, -48).
Common Mistakes and How to Avoid Them in Factors of 1599
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 1599, 1 and 1599 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 1599 consist of -1, -3, -11, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1599/1.5 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 1599 are prime numbers. For example, 3, 11, and 53 are the prime factors of 1599, but it has other factors like 33, 48.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors. For example, not breaking 1599 as 3 × 11 × 53 and missing all the key factors.
Factors of 1599 Examples
Problem 1
There are 3 teams and 1599 fans. How will the fans be distributed equally among the teams?
Each team will have 533 fans.
Explanation
To distribute the fans equally, we need to divide the total fans with the number of teams. 1599/3 = 533
Problem 2
A rectangular garden has a length of 11 meters and a total area of 1599 square meters. Find the width.
145 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width 1599 = 11 × width To find the value of width, we need to shift 11 to the left side. 1599/11 = width Width = 145.
Problem 3
There are 33 crates and 1599 apples. How many apples will be in each crate?
Each crate will have 48 apples.
Explanation
To find the apples in each crate, divide the total apples with the crates. 1599/33 = 48
Problem 4
In a school, there are 1599 students, and 11 classrooms. How many students are there in each classroom?
There are 145 students in each classroom.
Explanation
Dividing the students with the total classrooms, we will get the number of students in each classroom. 1599/11 = 145
Problem 5
1599 cans need to be arranged in 53 rows. How many cans will go in each row?
Each of the rows will have 30 cans.
Explanation
Divide total cans with rows. 1599/53 = 30
FAQs on Factors of 1599
1.What are the factors of 1599?
2.Mention the prime factors of 1599.
3.Is 1599 a multiple of 48?
4.Mention the factor pairs of 1599?
5.What is the square of 53?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 1599?
7.What are some fun ways kids in Bahrain can practice Factors of 1599 with numbers?
8.What role do numbers and Factors of 1599 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 1599 skills?
Important Glossaries for Factor of 1599
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1599 are 1, 3, 11, 33, 48, 53, 144, 159, 176, 479, 533, 1599.
- Prime factors: The factors which are prime numbers. For example, 3, 11, and 53 are prime factors of 1599.
- 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 1599 are (1, 1599), (3, 533), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For 1599, it is 3 × 11 × 53.
- Multiple: A number that can be divided by another number without a remainder. For example, 1599 is a multiple of 48.
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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.
