121 LearnersLast updated on May 26th, 2025
Factors of 1932
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 1932, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1932?
The numbers that divide 1932 evenly are known as factors of 1932.
A factor of 1932 is a number that divides the number without remainder.
The factors of 1932 are 1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 51, 66, 68, 102, 132, 187, 204, 306, 374, 561, 748, 1020, 1932.
Negative factors of 1932: -1, -2, -3, -4, -6, -11, -12, -17, -22, -33, -34, -51, -66, -68, -102, -132, -187, -204, -306, -374, -561, -748, -1020, -1932.
Prime factors of 1932: 2, 3, 11, and 17.
Prime factorization of 1932: 2 × 2 × 3 × 11 × 17.
The sum of factors of 1932: 1 + 2 + 3 + 4 + 6 + 11 + 12 + 17 + 22 + 33 + 34 + 51 + 66 + 68 + 102 + 132 + 187 + 204 + 306 + 374 + 561 + 748 + 1020 + 1932 = 5880
How to Find Factors of 1932?
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 1932. Identifying the numbers which are multiplied to get the number 1932 is the multiplication method.
Step 1: Multiply 1932 by 1, 1932 × 1 = 1932.
Step 2: Check for other numbers that give 1932 after multiplying
2 × 966 = 1932
3 × 644 = 1932
4 × 483 = 1932
6 × 322 = 1932
11 × 176 = 1932
12 × 161 = 1932
17 × 114 = 1932
22 × 88 = 1932
33 × 58 = 1932
34 × 57 = 1932
51 × 38 = 1932
66 × 29 = 1932
Therefore, the positive factor pairs of 1932 are: (1, 1932), (2, 966), (3, 644), (4, 483), (6, 322), (11, 176), (12, 161), (17, 114), (22, 88), (33, 58), (34, 57), (51, 38), (66, 29).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which result as a whole number as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1932 by 1, 1932 ÷ 1 = 1932.
Step 2: Continue dividing 1932 by the numbers until the remainder becomes 0.
1932 ÷ 1 = 1932
1932 ÷ 2 = 966
1932 ÷ 3 = 644
1932 ÷ 4 = 483
1932 ÷ 6 = 322
1932 ÷ 11 = 176
1932 ÷ 12 = 161
1932 ÷ 17 = 114
1932 ÷ 22 = 88
1932 ÷ 33 = 58
1932 ÷ 34 = 57
1932 ÷ 51 = 38
1932 ÷ 66 = 29
Therefore, the factors of 1932 are: 1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 51, 66, 68, 102, 132, 187, 204, 306, 374, 561, 748, 1020, 1932.
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 1932 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1932 ÷ 2 = 966
966 ÷ 2 = 483
483 ÷ 3 = 161
161 ÷ 11 = 17
17 ÷ 17 = 1
The prime factors of 1932 are 2, 3, 11, and 17.
The prime factorization of 1932 is: 2 × 2 × 3 × 11 × 17.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show
Step 1: Firstly, 1932 is divided by 2 to get 966.
Step 2: Now divide 966 by 2 to get 483.
Step 3: Then divide 483 by 3 to get 161.
Step 4: Divide 161 by 11 to get 17. Here, 17 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 1932 is: 2 × 2 × 3 × 11 × 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 1932: (1, 1932), (2, 966), (3, 644), (4, 483), (6, 322), (11, 176), (12, 161), (17, 114), (22, 88), (33, 58), (34, 57), (51, 38), (66, 29).
Negative factor pairs of 1932: (-1, -1932), (-2, -966), (-3, -644), (-4, -483), (-6, -322), (-11, -176), (-12, -161), (-17, -114), (-22, -88), (-33, -58), (-34, -57), (-51, -38), (-66, -29).
Common Mistakes and How to Avoid Them in Factors of 1932
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 the factors for every word. Always remember to include 1 and the number itself.
For example, in factors of 1932, 1 and 1932 is also a factor.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1932 consist of -1, -2, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1932/1.5 = 1288 and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 1932 are prime numbers.
For example, 2 and 3 are the prime factors of 1932, but it has other factors like 4, 6, etc.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up in writing wrong factors.
For example, not breaking 1932 as 2 × 2 × 3 × 11 × 17 and missing all the key factors.
Factors of 1932 Examples
Problem 1
There are 6 groups of dancers, and 1932 dance tickets. How many tickets does each group get?
Each group gets 322 tickets.
Explanation
To divide the tickets equally, we need to divide the total tickets with the number of groups.
1932/6 = 322
Problem 2
A plot of land is rectangular, with a length of 34 meters and a total area of 1932 square meters. Find the width.
57 meters.
Explanation
To find the width of the plot, we use the formula,
Area = length × width
1932 = 34 × width
To find the value of width, we need to shift 34 to the left side.
1932/34 = width
Width = 57.
Problem 3
There are 17 teams and 1932 jerseys. How many jerseys will each team get?
Each team will get 114 jerseys.
Explanation
To find the jerseys per team, divide the total jerseys by the teams.
1932/17 = 114
Problem 4
In a library, there are 1932 books, and 11 shelves. How many books are there on each shelf?
There are 176 books on each shelf.
Explanation
Dividing the books with the total shelves, we will get the number of books on each shelf.
1932/11 = 176
Problem 5
1932 bricks need to be stacked evenly in 34 piles. How many bricks will go in each pile?
Each pile will have 57 bricks.
Explanation
Divide total bricks by piles.
1932/34 = 57
FAQs on Factors of 1932
1.What are the factors of 1932?
2.Mention the prime factors of 1932.
3.Is 1932 a multiple of 6?
4.Mention the factor pairs of 1932.
5.What is the square of 1932?
6.How can children in Philippines use numbers in everyday life to understand Factors of 1932?
7.What are some fun ways kids in Philippines can practice Factors of 1932 with numbers?
8.What role do numbers and Factors of 1932 play in helping children in Philippines develop problem-solving skills?
9.How can families in Philippines create number-rich environments to improve Factors of 1932 skills?
Important Glossaries for Factors of 1932
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1932 are 1, 2, 3, 4, 6, 11, etc.
- Prime factors: The factors which are prime numbers. For example, 2, 3, 11, and 17 are prime factors of 1932.
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 1932 is 2 × 2 × 3 × 11 × 17.
- 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 1932 are (1, 1932), (2, 966), etc.
- Negative factors: The negative counterparts of positive factors. For example, the negative factors of 1932 are -1, -2, -3, etc.
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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.
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