119 LearnersLast updated on May 26th, 2025
Factors of 1295
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 1295, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1295?
The numbers that divide 1295 evenly are known as factors of 1295.
A factor of 1295 is a number that divides the number without a remainder.
The factors of 1295 are 1, 5, 7, 13, 35, 65, 91, 1295.
Negative factors of 1295: -1, -5, -7, -13, -35, -65, -91, -1295.
Prime factors of 1295: 5, 7, 13.
Prime factorization of 1295: 5 × 7 × 13.
The sum of factors of 1295: 1 + 5 + 7 + 13 + 35 + 65 + 91 + 1295 = 1512
How to Find Factors of 1295?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using 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 1295. Identifying the numbers which are multiplied to get the number 1295 is the multiplication method.
Step 1: Multiply 1295 by 1, 1295 × 1 = 1295.
Step 2: Check for other numbers that give 1295 after multiplying
5 × 259 = 1295
7 × 185 = 1295
13 × 99.615 ≠ 1295 (so not a factor pair)
Therefore, the positive factor pairs of 1295 are: (1, 1295), (5, 259), (7, 185).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
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 1295 by 1, 1295 ÷ 1 = 1295.
Step 2: Continue dividing 1295 by the numbers until the remainder becomes 0.
1295 ÷ 1 = 1295
1295 ÷ 5 = 259
1295 ÷ 7 = 185
1295 ÷ 13 = 99.615 (not a factor)
Therefore, the factors of 1295 are: 1, 5, 7, 13, 35, 65, 91, 1295.
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 1295 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1295 ÷ 5 = 259
259 ÷ 7 = 37
37 ÷ 13 = 1
The prime factors of 1295 are 5, 7, and 13.
The prime factorization of 1295 is: 5 × 7 × 13.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1295 is divided by 5 to get 259.
Step 2: Now divide 259 by 7 to get 37.
Step 3: Divide 37 by 13 to reach 1. So, the prime factorization of 1295 is: 5 × 7 × 13.
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 1295: (1, 1295), (5, 259), (7, 185).
Negative factor pairs of 1295: (-1, -1295), (-5, -259), (-7, -185).
Common Mistakes and How to Avoid Them in Factors of 1295
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 1295, 1 and 1295 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1295 consist of -1, -5, -7, 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 12.95 as a factor, because 1295/12.95 = 100.077, 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 1295 are prime numbers.
For example, 5, 7, and 13 are the prime factors of 1295, but it has other factors like 35, 65.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1295 as 5 × 7 × 13 and missing all the key factors.
Factors of 1295 Examples
Problem 1
There are 5 teams and 1295 marbles. How will they divide it equally?
They will get 259 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles by the number of teams.
1295/5 = 259
Problem 2
A hall is rectangular, the length of the hall is 91 meters and the total area is 1295 square meters. Find the width?
14.23 meters.
Explanation
To find the width of the hall, we use the formula,
Area = length × width
1295 = 91 × width
To find the value of width, we need to shift 91 to the left side.
1295/91 = width
Width = 14.23.
Problem 3
There are 7 boxes and 1295 candies. How many candies will be in each box?
Each box will have 185 candies.
Explanation
To find the candies in each box, divide the total candies by the boxes.
1295/7 = 185
Problem 4
In a workshop, there are 13 stations, and 1295 tools. How many tools are there at each station?
There are 99.615 tools at each station.
Explanation
Dividing the tools by the total stations, we will get the number of tools at each station.
1295/13 = 99.615
Problem 5
A library needs to arrange 1295 books in 35 sections. How many books will go in each section?
Each section has 37 books.
Explanation
Divide total books by sections.
1295/35 = 37
FAQs on Factors of 1295
1.What are the factors of 1295?
2.Mention the prime factors of 1295.
3.Is 1295 a multiple of 7?
4.Mention the factor pairs of 1295?
5.What is the square of 1295?
Important Glossaries for Factor of 1295
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1295 are 1, 5, 7, 13, 35, 65, 91, and 1295.
- Prime factors: The factors which are prime numbers. For example, 5, 7, and 13 are prime factors of 1295.
- 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 1295 are (1, 1295), (5, 259), (7, 185).
- Prime factorization: Breaking down a number into its basic prime number multipliers. For example, the prime factorization of 1295 is 5 × 7 × 13.
- Negative factors: Factors that are negative numbers, which are simply the negative counterparts of the positive factors. For example, -1, -5, -7, -13 are negative factors of 1295.
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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.
