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 5832, how they are used in real life, and some tips to learn them quickly.
The numbers that divide 5832 evenly are known as factors of 5832.
A factor of 5832 is a number that divides the number without remainder.
The factors of 5832 include 1, 2, 3, 4, 6, 8, 9, 12, 18, 27, 36, 54, 81, 108, 162, 216, 324, 486, 648, 972, 1458, 1944, 2916, and 5832.
Negative factors of 5832: -1, -2, -3, -4, -6, -8, -9, -12, -18, -27, -36, -54, -81, -108, -162, -216, -324, -486, -648, -972, -1458, -1944, -2916, and -5832.
Prime factors of 5832: 2 and 3.
Prime factorization of 5832: 23 × 36.
The sum of factors of 5832: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 18 + 27 + 36 + 54 + 81 + 108 + 162 + 216 + 324 + 486 + 648 + 972 + 1458 + 1944 + 2916 + 5832 = 17424
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 multiply to give 5832. Identifying the numbers which are multiplied to get the number 5832 is the multiplication method.
Step 1: Multiply 5832 by 1, 5832 × 1 = 5832.
Step 2: Check for other numbers that give 5832 after multiplying:
2 × 2916 = 5832
3 × 1944 = 5832
4 × 1458 = 5832
6 × 972 = 5832
9 × 648 = 5832
12 × 486 = 5832
18 × 324 = 5832
27 × 216 = 5832
36 × 162 = 5832
54 × 108 = 5832
81 × 72 = 5832
Therefore, the positive factor pairs of 5832 are: (1, 5832), (2, 2916), (3, 1944), (4, 1458), (6, 972), (8, 729), (9, 648), (12, 486), (18, 324), (27, 216), (36, 162), (54, 108), and (81, 72).
For every positive factor, there is a negative factor.
Dividing the given numbers 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 5832 by 1, 5832 ÷ 1 = 5832.
Step 2: Continue dividing 5832 by the numbers until the remainder becomes 0.
5832 ÷ 1 = 5832
5832 ÷ 2 = 2916
5832 ÷ 3 = 1944
5832 ÷ 4 = 1458
5832 ÷ 6 = 972
5832 ÷ 8 = 729
5832 ÷ 9 = 648
5832 ÷ 12 = 486
5832 ÷ 18 = 324
5832 ÷ 27 = 216
5832 ÷ 36 = 162
5832 ÷ 54 = 108
5832 ÷ 81 = 72
Therefore, the factors of 5832 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 27, 36, 54, 81, 108, 162, 216, 324, 486, 648, 972, 1458, 1944, 2916, and 5832.
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 5832 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
5832 ÷ 2 = 2916
2916 ÷ 2 = 1458
1458 ÷ 2 = 729
729 ÷ 3 = 243
243 ÷ 3 = 81
81 ÷ 3 = 27
27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
The prime factors of 5832 are 2 and 3.
The prime factorization of 5832 is: 23 × 36.
The factor tree is a graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 5832 is divided by 2 to get 2916.
Step 2: Now divide 2916 by 2 to get 1458.
Step 3: Then divide 1458 by 2 to get 729.
Step 4: Divide 729 by 3 to get 243.
Step 5: Divide 243 by 3 to get 81.
Step 6: Divide 81 by 3 to get 27.
Step 7: Divide 27 by 3 to get 9.
Step 8: Divide 9 by 3 to get 3. Here, 3 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 5832 is: 23 × 36.
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 5832: (1, 5832), (2, 2916), (3, 1944), (4, 1458), (6, 972), (8, 729), (9, 648), (12, 486), (18, 324), (27, 216), (36, 162), (54, 108), (72, 81).
Negative factor pairs of 5832: (-1, -5832), (-2, -2916), (-3, -1944), (-4, -1458), (-6, -972), (-8, -729), (-9, -648), (-12, -486), (-18, -324), (-27, -216), (-36, -162), (-54, -108), (-72, -81).
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 cake is cut into 5832 pieces. If you want to distribute them equally among 27 people, how many pieces will each person receive?
Each person will receive 216 pieces.
To distribute the pieces equally, divide the total pieces by the number of people.
5832/27 = 216
A rectangular garden has a length of 54 meters and an area of 5832 square meters. What is the width of the garden?
108 meters.
To find the width of the garden, use the formula,
Area = length × width
5832 = 54 × width
To find the value of width, shift 54 to the left side.
5832/54 = width
Width = 108.
A company has 5832 units of a product and wants to pack them into boxes, each containing 81 units. How many boxes will they need?
They will need 72 boxes.
To find the number of boxes needed, divide the total units by the units per box.
5832/81 = 72
During a charity event, 5832 items are to be distributed among 108 families. How many items will each family receive?
Each family will receive 54 items.
Dividing the items by the total number of families gives the number of items per family.
5832/108 = 54
A warehouse has 5832 crates of merchandise, and they need to be placed on 12 pallets evenly. How many crates will each pallet hold?
Each pallet will hold 486 crates.
Divide the total crates by the number of pallets.
5832/12 = 486
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.