121 LearnersLast updated on May 26th, 2025
Factors of 3599
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 3599, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 3599?
The numbers that divide 3599 evenly are known as factors of 3599.
A factor of 3599 is a number that divides the number without remainder.
The factors of 3599 are 1, 59, 61, and 3599.
Negative factors of 3599: -1, -59, -61, and -3599.
Prime factors of 3599: 59 and 61.
Prime factorization of 3599: 59 × 61.
The sum of factors of 3599: 1 + 59 + 61 + 3599 = 3720
How to Find Factors of 3599?
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 3599. Identifying the numbers which are multiplied to get the number 3599 is the multiplication method.
Step 1: Multiply 3599 by 1, 3599 × 1 = 3599.
Step 2: Check for other numbers that give 3599 after multiplying:
59 × 61 = 3599
Therefore, the positive factor pairs of 3599 are: (1, 3599) and (59, 61). For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number by 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 3599 by 1, 3599 ÷ 1 = 3599.
Step 2: Continue dividing 3599 by the numbers until the remainder becomes 0.
3599 ÷ 1 = 3599
3599 ÷ 59 = 61
3599 ÷ 61 = 59
Therefore, the factors of 3599 are: 1, 59, 61, and 3599.
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 3599 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
3599 ÷ 59 = 61
61 ÷ 61 = 1
The prime factors of 3599 are 59 and 61.
The prime factorization of 3599 is: 59 × 61.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 3599 is divided by 59 to get 61.
Step 2: Now divide 61 by 61 to get 1.
Here, 61 is a prime number and cannot be divided further.
So, the prime factorization of 3599 is: 59 × 61.
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 3599: (1, 3599) and (59, 61).
Negative factor pairs of 3599: (-1, -3599) and (-59, -61).
Common Mistakes and How to Avoid Them in Factors of 3599
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 3599, 1 and 3599 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, so always check whether you have mentioned negative factors.
For example, the factors of 3599 include -1, -59, -61, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor because 3599/1.5 = 2399.333, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only primes.
For example, thinking all the factors of 3599 are prime numbers. While 59 and 61 are the prime factors of 3599, it also has other factors like 1 and 3599.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing incorrect factors.
For example, not breaking 3599 as 59 × 61 and missing all the key factors.
Factors of 3599 Examples
Problem 1
There are 61 boxes and 3599 apples. How will they divide them equally?
They will get 59 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of boxes.
3599/61 = 59
Problem 2
A banner is rectangular, the width of the banner is 59 inches and the total area is 3599 square inches. Find the length?
61 inches.
Explanation
To find the length of the banner, we use the formula,
Area = length × width
3599 = 59 × length
To find the value of length, we need to shift 59 to the left side.
3599/59 = length
Length = 61.
Problem 3
There are 1 truck and 3599 boxes. How many boxes will be in the truck?
The truck will have 3599 boxes.
Explanation
To find the boxes in the truck, divide the total boxes by the number of trucks.
3599/1 = 3599
Problem 4
In a community, there are 3599 people, and 59 groups. How many people are there in each group?
There are 61 people in each group.
Explanation
Dividing the people by the total number of groups, we will get the number of people in each group.
3599/59 = 61
Problem 5
3599 bricks need to be arranged in 1 wall. How many bricks will go on the wall?
The wall will have 3599 bricks.
Explanation
Divide the total bricks by the number of walls.
3599/1 = 3599
FAQs on Factors of 3599
1.What are the factors of 3599?
2.Mention the prime factors of 3599.
3.Is 3599 a multiple of 59?
4.Mention the factor pairs of 3599?
5.What is the square of 3599?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 3599?
7.What are some fun ways kids in Bahrain can practice Factors of 3599 with numbers?
8.What role do numbers and Factors of 3599 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 3599 skills?
Important Glossaries for Factors of 3599
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 3599 are 1, 59, 61, and 3599.
- Prime factors: The factors which are prime numbers. For example, 59 and 61 are prime factors of 3599.
- 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 3599 are (1, 3599) and (59, 61).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 3599 is 59 × 61.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number.
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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.
