131 LearnersLast updated on May 28th, 2025
Factors of 1310
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 1310, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1310?
The numbers that divide 1310 evenly are known as factors of 1310.
A factor of 1310 is a number that divides the number without remainder.
The factors of 1310 are 1, 2, 5, 10, 131, 262, 655, and 1310.
Negative factors of 1310: -1, -2, -5, -10, -131, -262, -655, and -1310.
Prime factors of 1310: 2, 5, and 131.
Prime factorization of 1310: 2 × 5 × 131.
The sum of factors of 1310: 1 + 2 + 5 + 10 + 131 + 262 + 655 + 1310 = 2376
How to Find Factors of 1310?
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 1310. Identifying the numbers which are multiplied to get the number 1310 is the multiplication method.
Step 1: Multiply 1310 by 1, 1310 × 1 = 1310.
Step 2: Check for other numbers that give 1310 after multiplying
2 × 655 = 1310
5 × 262 = 1310
10 × 131 = 1310
Therefore, the positive factor pairs of 1310 are: (1, 1310), (2, 655), (5, 262), (10, 131).
All these factor pairs result in 1310.
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 results as a whole numbers as factors. Factors can be calculated by following simple division method -
Step 1: Divide 1310 by 1, 1310 ÷ 1 = 1310.
Step 2: Continue dividing 1310 by the numbers until the remainder becomes 0.
1310 ÷ 1 = 1310
1310 ÷ 2 = 655
1310 ÷ 5 = 262
1310 ÷ 10 = 131
Therefore, the factors of 1310 are: 1, 2, 5, 10, 131, 262, 655, 1310.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. 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 1310 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1310 ÷ 2 = 655
655 ÷ 5 = 131
131 ÷ 131 = 1
The prime factors of 1310 are 2, 5, and 131.
The prime factorization of 1310 is: 2 × 5 × 131.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 1310 is divided by 2 to get 655.
Step 2: Now divide 655 by 5 to get 131.
Step 3: 131 is a prime number, and it cannot be divided anymore.
So, the prime factorization of 1310 is: 2 × 5 × 131.
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 1310: (1, 1310), (2, 655), (5, 262), (10, 131).
Negative factor pairs of 1310: (-1, -1310), (-2, -655), (-5, -262), (-10, -131).
Common Mistakes and How to Avoid Them in Factors of 1310
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 number. Always remember to include 1 and the number itself.
For example, in factors of 1310, 1 and 1310 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 1310 consist of -1, -2, -5, 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 1310/1.5 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 1310 are prime numbers.
For example, 2, 5, and 131 are the prime factors of 1310, but it has other factors like 10 and 655.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1310 as 2 × 5 × 131 and missing all the key factors.
Factors of 1310 Examples
Problem 1
There are 10 friends and 1310 candies. How will they divide it equally?
They will get 131 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of friends.
1310/10 = 131
Problem 2
A rectangular garden has a width of 5 meters and a total area of 1310 square meters. Find the length?
262 meters.
Explanation
To find the length of the garden, we use the formula,
Area = length × width
1310 = length × 5
To find the value of length, we need to divide 1310 by 5.
1310/5 = length
Length = 262.
Problem 3
There are 262 boxes and 1310 apples. How many apples will be in each box?
Each box will have 5 apples.
Explanation
To find the apples in each box, divide the total apples by the boxes.
1310/262 = 5
Problem 4
In a class, there are 1310 students, and 5 groups. How many students are there in each group?
There are 262 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1310/5 = 262
Problem 5
1310 books need to be arranged in 10 shelves. How many books will go on each shelf?
Each of the shelves has 131 books.
Explanation
Divide total books by shelves.
1310/10 = 131
FAQs on Factors of 1310
1.What are the factors of 1310?
2.Mention the prime factors of 1310.
3.Is 1310 a multiple of 5?
4.Mention the factor pairs of 1310?
5.What is the square of 1310?
6.How can children in Philippines use numbers in everyday life to understand Factors of 1310?
7.What are some fun ways kids in Philippines can practice Factors of 1310 with numbers?
8.What role do numbers and Factors of 1310 play in helping children in Philippines develop problem-solving skills?
9.How can families in Philippines create number-rich environments to improve Factors of 1310 skills?
Important Glossaries for Factor of 1310
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1310 are 1, 2, 5, 10, 131, 262, 655, and 1310.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 131 are prime factors of 1310.
- 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 1310 are (1, 1310), (2, 655), etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, 1310 can be expressed as 2 × 5 × 131.
- Multiplication method: A method used to find factors by identifying the pairs of numbers that multiply to give the original number.
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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
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