Last updated on May 26th, 2025
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 4608, how they are used in real life, and tips to learn them quickly.
The numbers that divide 4608 evenly are known as factors of 4608.
A factor of 4608 is a number that divides the number without a remainder.
The factors of 4608 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576, 768, 1152, 2304, and 4608.
Negative factors of 4608: -1, -2, -3, -4, -6, -8, -9, -12, -16, -18, -24, -32, -36, -48, -64, -72, -96, -128, -144, -192, -288, -384, -576, -768, -1152, -2304, and -4608.
Prime factors of 4608: 2 and 3. Prime factorization of 4608: 28 × 32.
The sum of factors of 4608: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 16 + 18 + 24 + 32 + 36 + 48 + 64 + 72 + 96 + 128 + 144 + 192 + 288 + 384 + 576 + 768 + 1152 + 2304 + 4608 = 12480
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 4608. Identifying the numbers which are multiplied to get the number 4608 is the multiplication method.
Step 1: Multiply 4608 by 1, 4608 × 1 = 4608.
Step 2: Check for other numbers that give 4608 after multiplying
2 × 2304 = 4608
3 × 1536 = 4608
4 × 1152 = 4608
6 × 768 = 4608 ...and so on.
Therefore, the positive factor pairs of 4608 include: (1, 4608), (2, 2304), (3, 1536), (4, 1152), (6, 768), etc.
For every positive factor, there is a negative factor.
Dividing the given number with 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 4608 by 1, 4608 ÷ 1 = 4608.
Step 2: Continue dividing 4608 by the numbers until the remainder becomes 0.
4608 ÷ 1 = 4608
4608 ÷ 2 = 2304
4608 ÷ 3 = 1536
4608 ÷ 4 = 1152
4608 ÷ 6 = 768 ...and so on.
Therefore, the factors of 4608 are: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576, 768, 1152, 2304, 4608.
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 4608 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
4608 ÷ 2 = 2304
2304 ÷ 2 = 1152
1152 ÷ 2 = 576
576 ÷ 2 = 288
288 ÷ 2 = 144
144 ÷ 2 = 72
72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 3 = 6
6 ÷ 3 = 2
The prime factors of 4608 are 2 and 3.
The prime factorization of 4608 is: 28 × 32.
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show:
Step 1: Firstly, 4608 is divided by 2 to get 2304.
Step 2: Now divide 2304 by 2 to get 1152.
Step 3: Then divide 1152 by 2 to get 576.
Step 4: Continue the division process until you reach a prime number. So, the prime factorization of 4608 is: 28 × 32.
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 4608: (1, 4608), (2, 2304), (3, 1536), (4, 1152), (6, 768), etc.
Negative factor pairs of 4608: (-1, -4608), (-2, -2304), (-3, -1536), (-4, -1152), (-6, -768), etc.
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
A music concert has 4608 attendees, and each row can accommodate 128 people. How many rows are needed?
36 rows.
To find the number of rows needed, divide the total attendees by the number of people each row can accommodate.
4608/128 = 36
A tile company has 4608 tiles, and they want to create square areas. What is the largest side length they can use?
72.
The largest side length is the greatest factor of 4608 that is a perfect square, which is 72. 72 × 72 = 5184, which is a factor of 4608.
There are 4608 apples, and they need to be packed in boxes containing 192 apples each. How many boxes are needed?
24 boxes.
To find the number of boxes needed, divide the total apples by the number of apples each box can contain.
4608/192 = 24
A hall has a capacity of 4608 seats, and they are arranged in 384 rows. How many seats are there per row?
12 seats.
Dividing the total seats by the number of rows, we get the number of seats per row.
4608/384 = 12
4608 books need to be evenly distributed among 576 shelves. How many books will go on each shelf?
8 books.
Divide the total number of books by the number of shelves.
4608/576 = 8
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.