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 995, how they are used in real life, and tips to learn them quickly.
The numbers that divide 995 evenly are known as factors of 995.
A factor of 995 is a number that divides the number without a remainder.
The factors of 995 are 1, 5, 199, and 995.
Negative factors of 995: -1, -5, -199, and -995.
Prime factors of 995: 5 and 199.
Prime factorization of 995: 5 × 199.
The sum of factors of 995: 1 + 5 + 199 + 995 = 1200
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 995. Identifying the numbers which are multiplied to get the number 995 is the multiplication method.
Step 1: Multiply 995 by 1, 995 × 1 = 995.
Step 2: Check for other numbers that give 995 after multiplying
5 × 199 = 995
Therefore, the positive factor pairs of 995 are: (1, 995) and (5, 199).
All these factor pairs result in 995.
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 as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 995 by 1, 995 ÷ 1 = 995.
Step 2: Continue dividing 995 by the numbers until the remainder becomes 0.
995 ÷ 1 = 995
995 ÷ 5 = 199
Therefore, the factors of 995 are: 1, 5, 199, 995.
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 995 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
995 ÷ 5 = 199
199 is a prime number, so it cannot be divided further by any number other than 1 and itself.
The prime factors of 995 are 5 and 199.
The prime factorization of 995 is: 5 × 199.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 995 is divided by 5 to get 199.
Step 2: Since 199 is a prime number, it cannot be divided further. So, the prime factorization of 995 is: 5 × 199.
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 995: (1, 995) and (5, 199).
Negative factor pairs of 995: (-1, -995) and (-5, -199).
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 5 groups and 995 candies. How will they divide it equally?
They will get 199 candies each.
To divide the candies equally, we need to divide the total candies by the number of groups.
995/5 = 199
A piece of fabric is rectangular, the length is 5 meters, and the total area is 995 square meters. Find the width?
199 meters.
To find the width of the fabric, we use the formula,
Area = length × width
995 = 5 × width
To find the value of width, we need to shift 5 to the left side.
995/5 = width
Width = 199.
There are 199 gift boxes and 995 chocolates. How many chocolates will be in each box?
Each box will have 5 chocolates.
To find the chocolates in each box, divide the total chocolates by the boxes.
995/199 = 5
In a class, there are 995 students, and 5 groups. How many students are there in each group?
There are 199 students in each group.
Dividing the students by the total groups, we will get the number of students in each group.
995/5 = 199
995 books need to be arranged in 5 shelves. How many books will go on each shelf?
Each of the shelves has 199 books.
Divide total books by shelves.
995/5 = 199
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.