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 517, how they are used in real life, and tips to learn them quickly.
The numbers that divide 517 evenly are known as factors of 517.
A factor of 517 is a number that divides the number without remainder.
The factors of 517 are 1, 11, 47, and 517.
Negative factors of 517: -1, -11, -47, and -517.
Prime factors of 517: 11 and 47.
Prime factorization of 517: 11 × 47.
The sum of factors of 517: 1 + 11 + 47 + 517 = 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 517. Identifying the numbers which are multiplied to get the number 517 is the multiplication method.
Step 1: Multiply 517 by 1, 517 × 1 = 517.
Step 2: Check for other numbers that give 517 after multiplying 11 × 47 = 517
Therefore, the positive factor pairs of 517 are: (1, 517) and (11, 47).
All these factor pairs result in 517.
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 517 by 1, 517 ÷ 1 = 517.
Step 2: Continue dividing 517 by the numbers until the remainder becomes 0.
517 ÷ 1 = 517
517 ÷ 11 = 47
517 ÷ 47 = 11
517 ÷ 517 = 1
Therefore, the factors of 517 are: 1, 11, 47, 517.
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 517 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
517 ÷ 11 = 47
47 ÷ 47 = 1
The prime factors of 517 are 11 and 47.
The prime factorization of 517 is: 11 × 47.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 517 is divided by 11 to get 47.
Step 2: Now divide 47 by 47 to get 1. Here, 47 is a prime number and cannot be divided further. So, the prime factorization of 517 is: 11 × 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 517: (1, 517) and (11, 47).
Negative factor pairs of 517: (-1, -517) and (-11, -47).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and ways to avoid them.
There are 11 groups and 517 candies. How will they divide it equally?
They will get 47 candies each.
To divide the candies equally, we need to divide the total candies by the number of groups.
517/11 = 47
A classroom is rectangular, the length of the classroom is 47 meters and the total area is 517 square meters. Find the width.
11 meters.
To find the width of the classroom, we use the formula,
Area = length × width
517 = 47 × width
To find the value of width, we need to shift 47 to the left side.
517/47 = width
Width = 11.
There are 47 bags and 517 apples. How many apples will be in each bag?
Each bag will have 11 apples.
To find the apples in each bag, divide the total apples by the bags.
517/47 = 11
In a class, there are 517 students, and 47 groups. How many students are there in each group?
There are 11 students in each group.
Dividing the students by the total groups, we will get the number of students in each group.
517/47 = 11
517 books need to be arranged in 11 shelves. How many books will go on each shelf?
Each of the shelves has 47 books.
Divide total books by shelves.
517/11 = 47
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.