Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 61 boxes and 3599 apples. How will they divide them equally?
They will get 59 apples each.
To divide the apples equally, we need to divide the total apples by the number of boxes.
3599/61 = 59
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.
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.
There are 1 truck and 3599 boxes. How many boxes will be in the truck?
The truck will have 3599 boxes.
To find the boxes in the truck, divide the total boxes by the number of trucks.
3599/1 = 3599
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.
Dividing the people by the total number of groups, we will get the number of people in each group.
3599/59 = 61
3599 bricks need to be arranged in 1 wall. How many bricks will go on the wall?
The wall will have 3599 bricks.
Divide the total bricks by the number of walls.
3599/1 = 3599
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.
: She loves to read number jokes and games.