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 552, how they are used in real life, and tips to learn them quickly.
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
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 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.
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.
The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:
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.
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).
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 552 apples in a warehouse and 8 baskets. How will they be divided equally?
They will get 69 apples in each basket.
To divide the apples equally, we need to divide the total apples by the number of baskets.
552/8 = 69
A rectangular garden has a length of 24 meters and a total area of 552 square meters. Find the width.
23 meters.
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.
There are 23 teams and 552 points to be distributed. How many points will each team receive?
Each team will receive 24 points.
To find the points for each team, divide the total points by the number of teams.
552/23 = 24
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.
Dividing the students by the total groups, we will get the number of students in each group.
552/12 = 46
552 books need to be arranged in 6 shelves. How many books will go on each shelf?
Each of the shelves has 92 books.
Divide total books by shelves.
552/6 = 92
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.