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 564, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 564 evenly are known as factors of 564.
A factor of 564 is a number that divides the number without a remainder.
The factors of 564 are 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, and 564.
Negative factors of 564: -1, -2, -3, -4, -6, -12, -47, -94, -141, -188, -282, and -564.
Prime factors of 564: 2, 3, and 47.
Prime factorization of 564: 2² × 3 × 47.
The sum of factors of 564: 1 + 2 + 3 + 4 + 6 + 12 + 47 + 94 + 141 + 188 + 282 + 564 = 1344
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 564. Identifying the numbers which are multiplied to get the number 564 is the multiplication method.
Step 1: Multiply 564 by 1, 564 × 1 = 564.
Step 2: Check for other numbers that give 564 after multiplying
2 × 282 = 564
3 × 188 = 564
4 × 141 = 564
6 × 94 = 564
12 × 47 = 564
Therefore, the positive factor pairs of 564 are: (1, 564), (2, 282), (3, 188), (4, 141), (6, 94), (12, 47). 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 in whole numbers as factors. Factors can be calculated by following the simple division method -
Step 1: Divide 564 by 1, 564 ÷ 1 = 564.
Step 2: Continue dividing 564 by the numbers until the remainder becomes 0.
564 ÷ 1 = 564
564 ÷ 2 = 282
564 ÷ 3 = 188
564 ÷ 4 = 141
564 ÷ 6 = 94
564 ÷ 12 = 47
Therefore, the factors of 564 are: 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564.
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 564 divide the number to break it down in the multiplication form of prime factors until the remainder becomes 1.
564 ÷ 2 = 282
282 ÷ 2 = 141
141 ÷ 3 = 47
47 ÷ 47 = 1
The prime factors of 564 are 2, 3, and 47.
The prime factorization of 564 is: 2² × 3 × 47.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 564 is divided by 2 to get 282.
Step 2: Now divide 282 by 2 to get 141.
Step 3: Then divide 141 by 3 to get 47. Here, 47 is a prime number and cannot be divided anymore. So, the prime factorization of 564 is: 2² × 3 × 47.
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 564: (1, 564), (2, 282), (3, 188), (4, 141), (6, 94), (12, 47).
Negative factor pairs of 564: (-1, -564), (-2, -282), (-3, -188), (-4, -141), (-6, -94), (-12, -47).
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 12 teams and 564 points. How will they distribute it equally?
Each team will receive 47 points.
To distribute the points equally, we need to divide the total points by the number of teams.
564/12 = 47
A garden is rectangular, the length of the garden is 6 meters and the total area is 564 square meters. Find the width?
94 meters.
To find the width of the garden, we use the formula,
Area = length × width
564 = 6 × width
To find the value of width, we need to shift 6 to the left side.
564/6 = width
Width = 94.
There are 47 packages and 564 items. How many items will be in each package?
Each package will have 12 items.
To find the items in each package, divide the total items by the packages.
564/47 = 12
In a competition, there are 564 participants and 3 groups. How many participants are there in each group?
There are 188 participants in each group.
Dividing the participants by the total groups, we will get the number of participants in each group.
564/3 = 188
564 books need to be arranged in 4 shelves. How many books will go on each shelf?
Each of the shelves has 141 books.
Divide total books with shelves.
564/4 = 141
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.