100 LearnersLast updated on May 26th, 2025
Factors of 416
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 416, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 416?
The numbers that divide 416 evenly are known as factors of 416.
A factor of 416 is a number that divides the number without remainder.
The factors of 416 are 1, 2, 4, 8, 16, 26, 32, 52, 104, 208, and 416.
Negative factors of 416: -1, -2, -4, -8, -16, -26, -32, -52, -104, -208, and -416.
Prime factors of 416: 2 and 13.
Prime factorization of 416: 2^5 × 13.
The sum of factors of 416: 1 + 2 + 4 + 8 + 16 + 26 + 32 + 52 + 104 + 208 + 416 = 869
How to Find Factors of 416?
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 416.
Identifying the numbers which are multiplied to get the number 416 is the multiplication method.
Step 1: Multiply 416 by 1, 416 × 1 = 416.
Step 2: Check for other numbers that give 416 after multiplying 2 × 208 = 416 4 × 104 = 416 8 × 52 = 416 16 × 26 = 416
Therefore, the positive factor pairs of 416 are: (1, 416), (2, 208), (4, 104), (8, 52), (16, 26).
All these factor pairs result in 416. 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 the simple division method
Step 1: Divide 416 by 1, 416 ÷ 1 = 416.
Step 2: Continue dividing 416 by the numbers until the remainder becomes 0. 416 ÷ 1 = 416 416 ÷ 2 = 208 416 ÷ 4 = 104 416 ÷ 8 = 52 416 ÷ 16 = 26
Therefore, the factors of 416 are: 1, 2, 4, 8, 16, 26, 32, 52, 104, 208, 416.
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 416 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 416 ÷ 2 = 208 208 ÷ 2 = 104 104 ÷ 2 = 52 52 ÷ 2 = 26 26 ÷ 2 = 13 13 ÷ 13 = 1
The prime factors of 416 are 2 and 13.
The prime factorization of 416 is: 2^5 × 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, 416 is divided by 2 to get 208.
Step 2: Now divide 208 by 2 to get 104.
Step 3: Then divide 104 by 2 to get 52.
Step 4: Divide 52 by 2 to get 26.
Step 5: Divide 26 by 2 to get 13. Here, 13 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 416 is: 2^5 × 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 416: (1, 416), (2, 208), (4, 104), (8, 52), and (16, 26).
Negative factor pairs of 416: (-1, -416), (-2, -208), (-4, -104), (-8, -52), and (-16, -26).
Common Mistakes and How to Avoid Them in Factors of 416
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 416, 1 and 416 are also factors.
Factors of 416 Examples
Problem 1
There are 16 teams and 416 players. How will they be divided equally among the teams?
Each team will get 26 players.
Explanation
To divide the players equally, we need to divide the total players by the number of teams.
416/16 = 26
Problem 2
A rectangular garden has a length of 32 meters and an area of 416 square meters. Find the width?
13 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width 416 = 32 × width
To find the value of width, we need to shift 32 to the left side.
416/32 = width Width = 13.
Problem 3
There are 8 storage boxes and 416 items. How many items will be in each box?
Each box will have 52 items.
Explanation
To find the items in each box, divide the total items by the boxes.
416/8 = 52
Problem 4
A factory has 416 products and needs to pack them into 4 crates. How many products will each crate contain?
Each crate will have 104 products.
Explanation
Dividing the products by the total crates, we will get the number of products in each crate.
416/4 = 104
Problem 5
416 chairs need to be arranged in 26 rows. How many chairs will go in each row?
Each row will have 16 chairs.
Explanation
Divide total chairs by rows.
416/26 = 16
FAQs on Factors of 416
1.What are the factors of 416?
2.Mention the prime factors of 416.
3.Is 416 a multiple of 4?
4.Mention the factor pairs of 416?
5.What is the square of 416?
6.How can children in Singapore use numbers in everyday life to understand Factors of 416?
7.What are some fun ways kids in Singapore can practice Factors of 416 with numbers?
8.What role do numbers and Factors of 416 play in helping children in Singapore develop problem-solving skills?
9.How can families in Singapore create number-rich environments to improve Factors of 416 skills?
Important Glossaries for Factors of 416
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 416 are 1, 2, 4, 8, 16, 26, 32, 52, 104, 208, and 416.
- Prime factors: The factors which are prime numbers. For example, 2 and 13 are prime factors of 416.
- 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 416 are (1, 416), (2, 208), etc.
- Prime factorization: Expressing a number as the product of its prime factors. For example, 416 = 2^5 × 13.
- Multiple: A number that can be divided by another number without a remainder. For instance, 416 is a multiple of 4.
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About BrightChamps in Singapore
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.
