128 LearnersLast updated on May 26th, 2025
Factors of 916
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 916, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 916?
The numbers that divide 916 evenly are known as factors of 916. A factor of 916 is a number that divides the number without remainder. The factors of 916 are 1, 2, 4, 229, 458, and 916.
Negative factors of 916: -1, -2, -4, -229, -458, and -916.
Prime factors of 916: 2 and 229.
Prime factorization of 916: 2 × 2 × 229.
The sum of factors of 916: 1 + 2 + 4 + 229 + 458 + 916 = 1610
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How to Find Factors of 916?
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 916. Identifying the numbers which are multiplied to get the number 916 is the multiplication method.
Step 1: Multiply 916 by 1, 916 × 1 = 916.
Step 2: Check for other numbers that give 916 after multiplying
2 × 458 = 916
4 × 229 = 916
Therefore, the positive factor pairs of 916 are: (1, 916), (2, 458), and (4, 229). All these factor pairs result in 916. 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 a whole number as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 916 by 1, 916 ÷ 1 = 916.
Step 2: Continue dividing 916 by the numbers until the remainder becomes 0.
916 ÷ 1 = 916
916 ÷ 2 = 458
916 ÷ 4 = 229
Therefore, the factors of 916 are: 1, 2, 4, 229, 458, 916.
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 916 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
916 ÷ 2 = 458
458 ÷ 2 = 229
229 ÷ 229 = 1
The prime factors of 916 are 2 and 229. The prime factorization of 916 is: 2 × 2 × 229.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 916 is divided by 2 to get 458.
Step 2: Now divide 458 by 2 to get 229.
Step 3: 229 is a prime number, so it cannot be divided further. So, the prime factorization of 916 is: 2 × 2 × 229.
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 916: (1, 916), (2, 458), and (4, 229).
- Negative factor pairs of 916: (-1, -916), (-2, -458), and (-4, -229).
Common Mistakes and How to Avoid Them in Factors of 916
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 916, 1 and 916 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 916 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be factors. For example, thinking 1.5 as a factor, because 916/1.5 = 610.666..., 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 916 are prime numbers. For example, 2 and 229 are the prime factors of 916, but it has other factors like 4, 458.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors. For example, not breaking 916 as 2 × 2 × 229 and missing all the key factors.
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Factors of 916 Examples
Problem 1
There are 4 families and 916 flowers. How will they divide it equally?
They will get 229 flowers each.
Explanation
To divide the flowers equally, we need to divide the total flowers with the number of families.
916/4 = 229
Problem 2
An art piece is rectangular, the length of the art piece is 2 meters, and the total area is 916 square meters. Find the width?
458 meters.
Explanation
To find the width of the art piece, we use the formula,
Area = length × width
916 = 2 × width
To find the value of width, we need to shift 2 to the left side.
916/2 = width
Width = 458.
Problem 3
There are 229 boxes and 916 marbles. How many marbles will be in each box?
Each box will have 4 marbles.
Explanation
To find the marbles in each box, divide the total marbles by the boxes.
916/229 = 4
Problem 4
In a concert, there are 916 tickets, and 2 types of seats. How many tickets are there for each type?
There are 458 tickets for each type.
Explanation
Dividing the tickets by the total types, we will get the number of tickets for each type.
916/2 = 458
Problem 5
916 books need to be arranged in 229 shelves. How many books will go on each shelf?
Each of the shelves has 4 books.
Explanation
Divide total books by shelves.
916/229 = 4
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FAQs on Factors of 916
1.What are the factors of 916?
2.Mention the prime factors of 916.
3.Is 916 a multiple of 4?
4.Mention the factor pairs of 916?
5.What is the square of 916?
6.How can children in United States use numbers in everyday life to understand Factors of 916?
7.What are some fun ways kids in United States can practice Factors of 916 with numbers?
8.What role do numbers and Factors of 916 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 916 skills?
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Important Glossaries for Factor of 916
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 916 are 1, 2, 4, 229, 458, and 916.
- Prime factors: The factors which are prime numbers. For example, 2 and 229 are prime factors of 916.
- 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 916 are (1, 916), (2, 458), etc.
- Prime factorization: Breaking down a number into the product of its prime factors. For example, the prime factorization of 916 is 2 × 2 × 229.
- Multiples: A multiple of a number is the product of that number and an integer. For example, 916 is a multiple of 4.
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About BrightChamps in United States
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.
