117 LearnersLast updated on May 26th, 2025
Factors of 995
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.
What are the Factors of 995?
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
How to Find Factors of 995?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the division method
- Prime factors and prime factorization
Finding Factors Using Multiplication
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.
Finding Factors Using Division Method
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.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 995
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 995, 1 and 995 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 995 consist of -1, -5, etc.
Mistake 3
Including Fractions
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 2.5 as a factor because 995/2.5 = 398, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 995 are prime numbers.
For example, 5 and 199 are the prime factors of 995, but it has other factors like 1, 995.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing wrong factors.
For example, not breaking 995 as 5 × 199 and missing the key factors.
Factors of 995 Examples
Problem 1
There are 5 groups and 995 candies. How will they divide it equally?
They will get 199 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of groups.
995/5 = 199
Problem 2
A piece of fabric is rectangular, the length is 5 meters, and the total area is 995 square meters. Find the width?
199 meters.
Explanation
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.
Problem 3
There are 199 gift boxes and 995 chocolates. How many chocolates will be in each box?
Each box will have 5 chocolates.
Explanation
To find the chocolates in each box, divide the total chocolates by the boxes.
995/199 = 5
Problem 4
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.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
995/5 = 199
Problem 5
995 books need to be arranged in 5 shelves. How many books will go on each shelf?
Each of the shelves has 199 books.
Explanation
Divide total books by shelves.
995/5 = 199
FAQs on Factors of 995
1.What are the factors of 995?
2.Mention the prime factors of 995.
3.Is 995 a multiple of 5?
4.Mention the factor pairs of 995?
5.What is the square of 995?
Important Glossaries for Factors of 995
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 995 are 1, 5, 199, and 995.
- Prime factors: The factors which are prime numbers. For example, 5 and 199 are prime factors of 995.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 995 are (1, 995) and (5, 199).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 995 is 5 × 199.
- Negative factors: The negative counterparts of the positive factors. For example, -1, -5, -199, and -995 are negative factors of 995.
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Hiralee Lalitkumar Makwana
About the Author
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.
Fun Fact
: She loves to read number jokes and games.
