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 879, how they are used in real life, and tips to learn them quickly.
The numbers that divide 879 evenly are known as factors of 879.
A factor of 879 is a number that divides the number without remainder.
The factors of 879 are 1, 3, 293, and 879.
Negative factors of 879: -1, -3, -293, and -879.
Prime factors of 879: 3 and 293.
Prime factorization of 879: 3 × 293.
The sum of factors of 879: 1 + 3 + 293 + 879 = 1176
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 879. Identifying the numbers which are multiplied to get the number 879 is the multiplication method.
Step 1: Multiply 879 by 1, 879 × 1 = 879.
Step 2: Check for other numbers that give 879 after multiplying
3 × 293 = 879
Therefore, the positive factor pairs of 879 are: (1, 879) and (3, 293).
All these factor pairs result in 879.
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 879 by 1, 879 ÷ 1 = 879.
Step 2: Continue dividing 879 by the numbers until the remainder becomes 0.
879 ÷ 1 = 879
879 ÷ 3 = 293
Therefore, the factors of 879 are: 1, 3, 293, 879.
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 879 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
879 ÷ 3 = 293
293 ÷ 293 = 1
The prime factors of 879 are 3 and 293.
The prime factorization of 879 is: 3 × 293.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 879 is divided by 3 to get 293.
Step 2: Then divide 293 by 293 to get 1. Here, 293 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 879 is: 3 × 293.
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 879: (1, 879) and (3, 293).
Negative factor pairs of 879: (-1, -879) and (-3, -293).
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 3 friends and 879 marbles. How will they divide them equally?
They will get 293 marbles each.
To divide the marbles equally, we need to divide the total marbles by the number of friends.
879/3 = 293
A farmer has a rectangular field, the length of the field is 293 meters and the total area is 879 square meters. Find the width.
3 meters.
To find the width of the field, we use the formula, Area = length × width
879 = 293 × width
To find the value of width, we need to shift 293 to the left side.
879/293 = width
Width = 3.
There are 879 candies and 1 jar. How many candies will be in the jar?
The jar will have 879 candies.
To find the candies in the jar, divide the total candies by the number of jars.
879/1 = 879
In a class, there are 879 students, and 3 groups. How many students are there in each group?
There are 293 students in each group.
Dividing the students by the total groups, we will get the number of students in each group.
879/3 = 293
879 books need to be arranged in 1 shelf. How many books will go on the shelf?
The shelf will have 879 books.
Divide total books by shelves.
879/1 = 879
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.