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 527, how they are used in real life, and tips to learn them quickly.
The numbers that divide 527 evenly are known as factors of 527.
A factor of 527 is a number that divides the number without remainder.
The factors of 527 are 1, 17, 31, and 527.
Negative factors of 527: -1, -17, -31, and -527.
Prime factors of 527: 17 and 31.
Prime factorization of 527: 17 × 31.
The sum of factors of 527: 1 + 17 + 31 + 527 = 576
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 527. Identifying the numbers which are multiplied to get the number 527 is the multiplication method.
Step 1: Multiply 527 by 1, 527 × 1 = 527.
Step 2: Check for other numbers that give 527 after multiplying 17 × 31 = 527
Therefore, the positive factor pairs of 527 are: (1, 527), (17, 31).
All these factor pairs result in 527.
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 which result as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 527 by 1, 527 ÷ 1 = 527.
Step 2: Continue dividing 527 by the numbers until the remainder becomes 0.
527 ÷ 1 = 527
527 ÷ 17 = 31
527 ÷ 31 = 17
Therefore, the factors of 527 are: 1, 17, 31, 527.
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 527 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
527 ÷ 17 = 31
31 ÷ 31 = 1
The prime factors of 527 are 17 and 31.
The prime factorization of 527 is: 17 × 31.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 527 is divided by 17 to get 31.
Step 2: 31 is a prime number, so it cannot be divided further. So, the prime factorization of 527 is: 17 × 31.
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 527: (1, 527), (17, 31).
Negative factor pairs of 527: (-1, -527), (-17, -31).
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 17 teachers and 527 pens. How will they divide them equally?
They will get 31 pens each.
To divide the pens equally, we need to divide the total pens with the number of teachers.
527/17 = 31
A garden is rectangular, the length of the garden is 31 meters and the total area is 527 square meters. Find the width?
17 meters.
To find the width of the garden, we use the formula,
Area = length × width
527 = 31 × width
To find the value of width, we need to shift 31 to the left side.
527/31 = width
Width = 17.
There are 31 baskets and 527 apples. How many apples will be in each basket?
Each basket will have 17 apples.
To find the apples in each basket, divide the total apples with the baskets.
527/31 = 17
In a class, there are 527 students, and 17 groups. How many students are there in each group?
There are 31 students in each group.
Dividing the students with the total groups, we will get the number of students in each group.
527/17 = 31
527 books need to be arranged in 31 shelves. How many books will go on each shelf?
Each of the shelves has 17 books.
Divide total books with shelves.
527/31 = 17
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.