129 LearnersLast updated on May 28th, 2025
Factors of 1316
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 1316, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1316?
The numbers that divide 1316 evenly are known as factors of 1316.
A factor of 1316 is a number that divides the number without remainder.
The factors of 1316 are 1, 2, 4, 7, 13, 14, 28, 47, 94, 188, 329, 658, and 1316.
Negative factors of 1316: -1, -2, -4, -7, -13, -14, -28, -47, -94, -188, -329, -658, and -1316.
Prime factors of 1316: 2, 7, and 47.
Prime factorization of 1316: 22 × 7 × 47.
The sum of factors of 1316: 1 + 2 + 4 + 7 + 13 + 14 + 28 + 47 + 94 + 188 + 329 + 658 + 1316 = 2701
How to Find Factors of 1316?
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 1316. Identifying the numbers which are multiplied to get the number 1316 is the multiplication method.
Step 1: Multiply 1316 by 1, 1316 × 1 = 1316.
Step 2: Check for other numbers that give 1316 after multiplying
2 × 658 = 1316
4 × 329 = 1316
7 × 188 = 1316
13 × 101 = 1316
Therefore, the positive factor pairs of 1316 are: (1, 1316), (2, 658), (4, 329), (7, 188), and (13, 101).
All these factor pairs result in 1316. 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 1316 by 1, 1316 ÷ 1 = 1316.
Step 2: Continue dividing 1316 by the numbers until the remainder becomes 0.
1316 ÷ 1 = 1316
1316 ÷ 2 = 658
1316 ÷ 4 = 329
1316 ÷ 7 = 188
1316 ÷ 13 = 101
Therefore, the factors of 1316 are: 1, 2, 4, 7, 13, 14, 28, 47, 94, 188, 329, 658, 1316.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 1316 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1316 ÷ 2 = 658
658 ÷ 2 = 329
329 ÷ 7 = 47
47 ÷ 47 = 1
The prime factors of 1316 are 2, 7, and 47.
The prime factorization of 1316 is: 22 × 7 × 47.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1316 is divided by 2 to get 658.
Step 2: Now divide 658 by 2 to get 329.
Step 3: Then divide 329 by 7 to get 47.
Here, 47 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1316 is: 22 × 7 × 47.
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 1316: (1, 1316), (2, 658), (4, 329), (7, 188), (13, 101).
Negative factor pairs of 1316: (-1, -1316), (-2, -658), (-4, -329), (-7, -188), (-13, -101).
Common Mistakes and How to Avoid Them in Factors of 1316
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 1316, 1 and 1316 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 1316 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 1.5 is a factor, because 1316/1.5 = 877.333, 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 1316 are prime numbers.
For example, 2, 7, and 47 are the prime factors of 1316, but it has other factors like 4, 14.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1316 as 22 × 7 × 47 and missing all the key factors.
Factors of 1316 Examples
Problem 1
There are 4 teams and 1316 points to distribute. How many points will each team get?
Each team will get 329 points.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
1316/4 = 329
Problem 2
A rectangular garden has a length of 47 meters, and the total area is 1316 square meters. Find the width.
28 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1316 = 47 × width
To find the value of width, we need to shift 47 to the left side.
1316/47 = width
Width = 28.
Problem 3
There are 7 sections and 1316 seats in a hall. How many seats will each section have?
Each section will have 188 seats.
Explanation
To find the seats in each section, divide the total seats by the sections.
1316/7 = 188
Problem 4
In a factory, there are 1316 products and 13 boxes. How many products go in each box?
Each box will have 101 products.
Explanation
Dividing the products by the total boxes, we will get the number of products in each box.
1316/13 = 101
Problem 5
1316 books need to be arranged on 2 shelves. How many books will go on each shelf?
Each of the shelves has 658 books.
Explanation
Divide the total books by the shelves.
1316/2 = 658
FAQs on Factors of 1316
1.What are the factors of 1316?
2.Mention the prime factors of 1316.
3.Is 1316 a multiple of 4?
4.Mention the factor pairs of 1316?
5.What is the square of 1316?
6.How can children in Canada use numbers in everyday life to understand Factors of 1316?
7.What are some fun ways kids in Canada can practice Factors of 1316 with numbers?
8.What role do numbers and Factors of 1316 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 1316 skills?
Important Glossaries for Factors of 1316
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1316 are 1, 2, 4, 7, 13, 14, 28, 47, 94, 188, 329, 658, and 1316.
- Prime factors: The factors which are prime numbers. For example, 2, 7, and 47 are prime factors of 1316.
- 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 1316 are (1, 1316), (2, 658), etc.
- Prime factorization: Decomposing a number into a product of prime numbers. For example, the prime factorization of 1316 is 22 × 7 × 47.
- Negative factors: Factors that are negative. For example, -1, -2, -4, -7, are negative factors of 1316.
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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
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