125 LearnersLast updated on May 26th, 2025
Factors of 552
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 552, how they are used in real life, and tips to learn them quickly.
What are the Factors of 552?
The numbers that divide 552 evenly are known as factors of 552.
A factor of 552 is a number that divides the number without remainder.
The factors of 552 are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, and 552.
Negative factors of 552: -1, -2, -3, -4, -6, -8, -12, -23, -24, -46, -69, -92, -138, -184, -276, and -552.
Prime factors of 552: 2, 3, and 23.
Prime factorization of 552: 23 × 3 × 23.
The sum of factors of 552: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 23 + 24 + 46 + 69 + 92 + 138 + 184 + 276 + 552 = 1440
How to Find Factors of 552?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 552. Identifying the numbers which are multiplied to get the number 552 is the multiplication method.
Step 1: Multiply 552 by 1, 552 × 1 = 552.
Step 2: Check for other numbers that give 552 after multiplying
2 × 276 = 552
3 × 184 = 552
4 × 138 = 552
6 × 92 = 552
8 × 69 = 552
12 × 46 = 552
23 × 24 = 552
Therefore, the positive factor pairs of 552 are: (1, 552), (2, 276), (3, 184), (4, 138), (6, 92), (8, 69), (12, 46), and (23, 24). 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 that result as whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 552 by 1, 552 ÷ 1 = 552
.
Step 2: Continue dividing 552 by the numbers until the remainder becomes 0.
552 ÷ 1 = 552
552 ÷ 2 = 276
552 ÷ 3 = 184
552 ÷ 4 = 138
552 ÷ 6 = 92
552 ÷ 8 = 69
552 ÷ 12 = 46
552 ÷ 23 = 24
Therefore, the factors of 552 are: 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 552 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
552 ÷ 2 = 276
276 ÷ 2 = 138
138 ÷ 2 = 69
69 ÷ 3 = 23
23 ÷ 23 = 1
The prime factors of 552 are 2, 3, and 23.
The prime factorization of 552 is: 2^3 × 3 × 23.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 552 is divided by 2 to get 276.
Step 2: Now divide 276 by 2 to get 138.
Step 3: Then divide 138 by 2 to get 69.
Step 4: Divide 69 by 3 to get 23. Here, 23 is a prime number, that cannot be divided anymore.
So, the prime factorization of 552 is: 23 × 3 × 23.
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 552: (1, 552), (2, 276), (3, 184), (4, 138), (6, 92), (8, 69), (12, 46), and (23, 24).
Negative factor pairs of 552: (-1, -552), (-2, -276), (-3, -184), (-4, -138), (-6, -92), (-8, -69), (-12, -46), and (-23, -24).
Common Mistakes and How to Avoid Them in Factors of 552
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 number. Always remember to include 1 and the number itself.
For example, in factors of 552, 1 and 552 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 552 include -1, -2, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be a factor.
For example, thinking 1.5 is a factor because 552/1.5 = 368, 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 552 are prime numbers.
For example, 2, 3, and 23 are the prime factors of 552, but it has other factors like 4, 6, etc.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 552 as 2^3 × 3 × 23 and missing all the key factors.
Factors of 552 Examples
Problem 1
There are 552 apples in a warehouse and 8 baskets. How will they be divided equally?
They will get 69 apples in each basket.
Explanation
To divide the apples equally, we need to divide the total apples by the number of baskets.
552/8 = 69
Problem 2
A rectangular garden has a length of 24 meters and a total area of 552 square meters. Find the width.
23 meters.
Explanation
To find the width of the garden, we use the formula:
Area = length × width
552 = 24 × width
To find the value of the width, we need to shift 24 to the left side.
552/24 = width
Width = 23.
Problem 3
There are 23 teams and 552 points to be distributed. How many points will each team receive?
Each team will receive 24 points.
Explanation
To find the points for each team, divide the total points by the number of teams.
552/23 = 24
Problem 4
In a class, there are 552 students, and 12 groups. How many students are there in each group?
There are 46 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
552/12 = 46
Problem 5
552 books need to be arranged in 6 shelves. How many books will go on each shelf?
Each of the shelves has 92 books.
Explanation
Divide total books by shelves.
552/6 = 92
FAQs on Factors of 552
1.What are the factors of 552?
2.Mention the prime factors of 552.
3.Is 552 a multiple of 4?
4.Mention the factor pairs of 552?
5.What is the square of 552?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 552?
7.What are some fun ways kids in Bahrain can practice Factors of 552 with numbers?
8.What role do numbers and Factors of 552 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 552 skills?
Important Glossaries for Factor of 552
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 552 are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, and 552
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 23 are prime factors of 552.
- 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 552 are (1, 552), (2, 276), etc.
- Negative factors: Factors that are negative numbers. For example, -1, -2, -3, etc., are negative factors of 552.
- Multiplication method: A method to find factors by identifying numbers that multiply to give the original number.
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About BrightChamps in Bahrain
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.
Fun Fact
: She loves to read number jokes and games.
