130 LearnersLast updated on May 29th, 2025
Factors of 1195
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 1195, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1195?
The numbers that divide 1195 evenly are known as factors of 1195.
A factor of 1195 is a number that divides the number without remainder.
The factors of 1195 are 1, 5, 239, and 1195.
Negative factors of 1195: -1, -5, -239, and -1195.
Prime factors of 1195: 5 and 239.
Prime factorization of 1195: 5 × 239.
The sum of factors of 1195: 1 + 5 + 239 + 1195 = 1440
How to Find Factors of 1195?
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 1195. Identifying the numbers which are multiplied to get the number 1195 is the multiplication method.
Step 1: Multiply 1195 by 1, 1195 × 1 = 1195.
Step 2: Check for other numbers that give 1195 after multiplying 5 × 239 = 1195
Therefore, the positive factor pairs of 1195 are: (1, 1195) and (5, 239).
All these factor pairs result in 1195. For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number by 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 1195 by 1, 1195 ÷ 1 = 1195.
Step 2: Continue dividing 1195 by the numbers until the remainder becomes 0.
1195 ÷ 1 = 1195
1195 ÷ 5 = 239
Therefore, the factors of 1195 are: 1, 5, 239, and 1195.
Prime Factors and Prime Factorization
The factors can be found by dividing with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using a factor tree
Using Prime Factorization: In this process, prime factors of 1195 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1195 ÷ 5 = 239
239 ÷ 239 = 1
The prime factors of 1195 are 5 and 239.
The prime factorization of 1195 is: 5 × 239.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 1195 is divided by 5 to get 239.
Step 2: 239 is a prime number and cannot be divided further. So, the prime factorization of 1195 is: 5 × 239.
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 1195: (1, 1195) and (5, 239).
Negative factor pairs of 1195: (-1, -1195) and (-5, -239).
Common Mistakes and How to Avoid Them in Factors of 1195
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 the factors for every word. Always remember to include 1 and the number itself.
For example, in factors of 1195, 1 and 1195 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 1195 include -1, -5, -239, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1195/1.5 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 1195 are prime numbers. For example, 5 and 239 are the prime factors of 1195, but it has other factors like 1 and 1195.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1195 as 5 × 239 and missing all the key factors.
Factors of 1195 Examples
Problem 1
There are 5 teams and 1195 participants. How will they distribute participants equally?
Each team will have 239 participants.
Explanation
To divide the participants equally, we need to divide the total participants by the number of teams.
1195/5 = 239
Problem 2
A garden is rectangular, the length of the garden is 5 meters and the total area is 1195 square meters. Find the width.
239 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
1195 = 5 × width
To find the value of width, we need to shift 5 to the left side.
1195/5 = width
Width = 239.
Problem 3
There are 239 boxes and 1195 candies. How many candies will be in each box?
Each box will have 5 candies.
Explanation
To find the candies in each box, divide the total candies by the boxes. 1195/239 = 5
Problem 4
In a school, there are 1195 students, and 5 classes. How many students are there in each class?
There are 239 students in each class.
Explanation
Dividing the students by the total classes, we will get the number of students in each class.
1195/5 = 239
Problem 5
1195 books need to be arranged in 5 shelves. How many books will go on each shelf?
Each of the shelves has 239 books.
Explanation
Divide total books by shelves.
1195/5 = 239
FAQs on Factors of 1195
1.What are the factors of 1195?
2.Mention the prime factors of 1195.
3.Is 1195 a multiple of 5?
4.Mention the factor pairs of 1195?
5.What is the square of 1195?
6.How can children in Philippines use numbers in everyday life to understand Factors of 1195?
7.What are some fun ways kids in Philippines can practice Factors of 1195 with numbers?
8.What role do numbers and Factors of 1195 play in helping children in Philippines develop problem-solving skills?
9.How can families in Philippines create number-rich environments to improve Factors of 1195 skills?
Important Glossaries for Factors of 1195
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1195 are 1, 5, 239, and 1195.
- Prime factors: The factors which are prime numbers. For example, 5 and 239 are prime factors of 1195.
- 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 1195 are (1, 1195) and (5, 239).
- Negative factors: These are the negative counterparts of the positive factors. For example, -1, -5, -239, and -1195.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1195 is 5 × 239.
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About BrightChamps in Philippines
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.
