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 1632, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1632 evenly are known as factors of 1632.
A factor of 1632 is a number that divides the number without remainder.
The factors of 1632 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 544, 816, and 1632.
Negative factors of 1632: -1, -2, -3, -4, -6, -8, -12, -16, -24, -34, -48, -51, -68, -102, -136, -204, -272, -408, -544, -816, and -1632.
Prime factors of 1632: 2 and 3.
Prime factorization of 1632: (24 times 3 times 17).
The sum of factors of 1632: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 16 + 24 + 34 + 48 + 51 + 68 + 102 + 136 + 204 + 272 + 408 + 544 + 816 + 1632 = 4320
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 1632. Identifying the numbers which are multiplied to get the number 1632 is the multiplication method.
Step 1: Multiply 1632 by 1, 1632 × 1 = 1632.
Step 2: Check for other numbers that give 1632 after multiplying
2 × 816 = 1632
3 × 544 = 1632
4 × 408 = 1632
6 × 272 = 1632
8 × 204 = 1632
12 × 136 = 1632
16 × 102 = 1632
24 × 68 = 1632
34 × 48 = 1632
Therefore, the positive factor pairs of 1632 are: (1, 1632), (2, 816), (3, 544), (4, 408), (6, 272), (8, 204), (12, 136), (16, 102), (24, 68), (34, 48).
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 1632 by 1, 1632 ÷ 1 = 1632.
Step 2: Continue dividing 1632 by the numbers until the remainder becomes 0.
1632 ÷ 1 = 1632
1632 ÷ 2 = 816
1632 ÷ 3 = 544
1632 ÷ 4 = 408
1632 ÷ 6 = 272
1632 ÷ 8 = 204
1632 ÷ 12 = 136
1632 ÷ 16 = 102
1632 ÷ 24 = 68
1632 ÷ 34 = 48
Therefore, the factors of 1632 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 544, 816, 1632.
The factors can be found by dividing it with a prime number. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1632 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1632 ÷ 2 = 816
816 ÷ 2 = 408
408 ÷ 2 = 204
204 ÷ 2 = 102
102 ÷ 2 = 51
51 ÷ 3 = 17
17 ÷ 17 = 1
The prime factors of 1632 are 2, 3, and 17. The prime factorization of 1632 is: (24 times 3 times 17).
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1632 is divided by 2 to get 816.
Step 2: Now divide 816 by 2 to get 408.
Step 3: Then divide 408 by 2 to get 204.
Step 4: Divide 204 by 2 to get 102.
Step 5: Divide 102 by 2 to get 51.
Step 6: Divide 51 by 3 to get 17.
Step 7: Here, 17 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 1632 is: (24 times 3 times 17).
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 1632: (1, 1632), (2, 816), (3, 544), (4, 408), (6, 272), (8, 204), (12, 136), (16, 102), (24, 68), (34, 48).
Negative factor pairs of 1632: (-1, -1632), (-2, -816), (-3, -544), (-4, -408), (-6, -272), (-8, -204), (-12, -136), (-16, -102), (-24, -68), (-34, -48).
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 34 students and 1632 candies. How will they divide them equally?
They will get 48 candies each.
To divide the candies equally, we need to divide the total candies by the number of students.
1632/34 = 48
A parking lot is rectangular, the length of the lot is 34 meters, and the total area is 1632 square meters. Find the width.
48 meters.
To find the width of the lot, we use the formula, Area = length × width
1632 = 34 × width
To find the value of the width, we need to shift 34 to the left side.
1632/34 = width
Width = 48
There are 102 boxes and 1632 apples. How many apples will be in each box?
Each box will have 16 apples.
To find the apples in each box, divide the total apples by the boxes.
1632/102 = 16
In a school, there are 136 students and 1632 books. How many books are there for each student?
There are 12 books for each student.
Dividing the books by the total students, we will get the number of books for each student.
1632/136 = 12
1632 pages need to be distributed equally among 54 folders. How many pages will go in each folder?
Each folder will have 30 pages.
Divide total pages by folders.
1632/54 = 30
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.