118 LearnersLast updated on May 26th, 2025
Factors of 1016
Factors are the numbers that divide any given number evenly without a 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 1016, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1016?
The numbers that divide 1016 evenly are known as factors of 1016.
A factor of 1016 is a number that divides the number without a remainder.
The factors of 1016 are 1, 2, 4, 8, 127, 254, 508, and 1016.
Negative factors of 1016: -1, -2, -4, -8, -127, -254, -508, and -1016.
Prime factors of 1016: 2 and 127.
Prime factorization of 1016: 2³ × 127.
The sum of factors of 1016: 1 + 2 + 4 + 8 + 127 + 254 + 508 + 1016 = 1920
How to Find Factors of 1016?
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 1016. Identifying the numbers which are multiplied to get the number 1016 is the multiplication method.
Step 1: Multiply 1016 by 1, 1016 × 1 = 1016.
Step 2: Check for other numbers that give 1016 after multiplying
2 × 508 = 1016
4 × 254 = 1016
8 × 127 = 1016
Therefore, the positive factor pairs of 1016 are: (1, 1016), (2, 508), (4, 254), (8, 127).
All these factor pairs result in 1016.
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 1016 by 1, 1016 ÷ 1 = 1016.
Step 2: Continue dividing 1016 by the numbers until the remainder becomes 0.
1016 ÷ 1 = 1016
1016 ÷ 2 = 508
1016 ÷ 4 = 254
1016 ÷ 8 = 127
Therefore, the factors of 1016 are: 1, 2, 4, 8, 127, 254, 508, 1016.
Prime Factors and Prime Factorization
The factors can be found by dividing by 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 1016 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1016 ÷ 2 = 508
508 ÷ 2 = 254
254 ÷ 2 = 127
127 ÷ 127 = 1
The prime factors of 1016 are 2 and 127.
The prime factorization of 1016 is: 2³ × 127.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show the process
Step 1: Firstly, 1016 is divided by 2 to get 508.
Step 2: Now divide 508 by 2 to get 254.
Step 3: Then divide 254 by 2 to get 127.
Step 4: Divide 127, which is a prime number, by itself to get 1. So, the prime factorization of 1016 is: 2³ × 127.
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 1016: (1, 1016), (2, 508), (4, 254), (8, 127).
Negative factor pairs of 1016: (-1, -1016), (-2, -508), (-4, -254), (-8, -127).
Common Mistakes and How to Avoid Them in Factors of 1016
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 1016, 1 and 1016 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 1016 include -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 1016/1.5 = 677.333, 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 1016 are prime numbers.
For example, 2 and 127 are the prime factors of 1016, but it has other factors like 4, 8.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1016 down as 2³ × 127 and missing all the key factors.
Factors of 1016 Examples
Problem 1
There are 8 teams and 1016 points to be distributed. How will they distribute them equally?
Each team will receive 127 points.
Explanation
To distribute the points equally, we need to divide the total points by the number of teams.
1016/8 = 127
Problem 2
A rectangular plot has a length of 254 meters and the total area is 1016 square meters. Find the width.
4 meters.
Explanation
To find the width of the plot, we use the formula,
Area = length × width
1016 = 254 × width
To find the value of width, we need to shift 254 to the left side.
1016/254 = width
Width = 4.
Problem 3
There are 127 boxes and 1016 apples. How many apples will be in each box?
Each box will have 8 apples.
Explanation
To find the apples in each box, divide the total apples by the number of boxes.
1016/127 = 8
Problem 4
In a school, there are 4 classes, and 1016 students. How many students are there in each class?
There are 254 students in each class.
Explanation
Dividing the students by the total classes, we will get the number of students in each class.
1016/4 = 254
Problem 5
1016 books need to be arranged in 2 libraries. How many books will go in each library?
Each library will have 508 books.
Explanation
Divide the total books by the number of libraries.
1016/2 = 508
FAQs on Factors of 1016
1.What are the factors of 1016?
2.Mention the prime factors of 1016.
3.Is 1016 a multiple of 8?
4.Mention the factor pairs of 1016?
5.What is the square of 1016?
6.How can children in India use numbers in everyday life to understand Factors of 1016?
7.What are some fun ways kids in India can practice Factors of 1016 with numbers?
8.What role do numbers and Factors of 1016 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 1016 skills?
Important Glossaries for Factors of 1016
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1016 are 1, 2, 4, 8, 127, 254, 508, and 1016.
- Prime factors: The factors that are prime numbers. For example, 2 and 127 are prime factors of 1016.
- 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 1016 are (1, 1016), (2, 508), etc.
- Multiple: A product of a given number and an integer. For example, 1016 is a multiple of 8.
- Prime factorization: The expression of a number as a product of its prime factors. For 1016, it is 2³ × 127.
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About BrightChamps in India
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.
