126 LearnersLast updated on May 26th, 2025
Factors of 442
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 442, how they are used in real life, and tips to learn them quickly.
What are the Factors of 442?
The numbers that divide 442 evenly are known as factors of 442.
A factor of 442 is a number that divides the number without a remainder.
The factors of 442 are 1, 2, 13, 26, 17, 34, 221, and 442.
Negative factors of 442: -1, -2, -13, -26, -17, -34, -221, and -442.
Prime factors of 442: 2, 13, and 17.
Prime factorization of 442: 2 × 13 × 17.
The sum of factors of 442: 1 + 2 + 13 + 26 + 17 + 34 + 221 + 442 = 756
How to Find Factors of 442?
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 442. Identifying the numbers that are multiplied to get the number 442 is the multiplication method.
Step 1: Multiply 442 by 1, 442 × 1 = 442.
Step 2: Check for other numbers that give 442 after multiplying
2 × 221 = 442
13 × 34 = 442
17 × 26 = 442
Therefore, the positive factor pairs of 442 are: (1, 442), (2, 221), (13, 34), (17, 26). All these factor pairs result in 442.
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 that result as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 442 by 1, 442 ÷ 1 = 442.
Step 2: Continue dividing 442 by the numbers until the remainder becomes 0.
442 ÷ 1 = 442
442 ÷ 2 = 221
442 ÷ 13 = 34
442 ÷ 17 = 26
Therefore, the factors of 442 are: 1, 2, 13, 17, 26, 34, 221, 442.
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 442 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
442 ÷ 2 = 221
221 ÷ 13 = 17
17 ÷ 17 = 1
The prime factors of 442 are 2, 13, and 17.
The prime factorization of 442 is: 2 × 13 × 17.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show
Step 1: Firstly, 442 is divided by 2 to get 221.
Step 2: Now divide 221 by 13 to get 17.
Step 3: Here, 17 is the smallest prime number, which cannot be divided anymore.
So, the prime factorization of 442 is: 2 × 13 × 17.
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 442: (1, 442), (2, 221), (13, 34), (17, 26).
Negative factor pairs of 442: (-1, -442), (-2, -221), (-13, -34), (-17, -26).
Common Mistakes and How to Avoid Them in Factors of 442
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
People 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 442, 1 and 442 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 442 consist of -1, -2, -13, etc.
Mistake 3
Including the Fraction
People might sometimes add fractions also as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor because 442/1.5 = 294.6666, 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 442 are prime numbers.
For example, 2, 13, and 17 are the prime factors of 442, but it has other factors like 26, 34.
Mistake 5
Mistake in Factorization
People might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 442 as 2 × 13 × 17 and missing all the key factors.
Factors of 442 Examples
Problem 1
There are 442 apples and 34 baskets. How will they be divided equally?
They will get 13 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of baskets.
442/34 = 13
Problem 2
A playground is rectangular, the length of the playground is 26 meters, and the total area is 442 square meters. Find the width?
17 meters.
Explanation
To find the width of the playground, we use the formula,
Area = length × width
442 = 26 × width
To find the value of width, we need to shift 26 to the left side.
442/26 = width
Width = 17.
Problem 3
There are 221 bags and 442 candies. How many candies will be in each bag?
Each bag will have 2 candies.
Explanation
To find the candies in each bag, divide the total candies by the bags.
442/221 = 2
Problem 4
In a class, there are 442 students, and 2 groups. How many students are there in each group?
There are 221 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
442/2 = 221
Problem 5
442 books need to be arranged in 13 shelves. How many books will go on each shelf?
Each of the shelves has 34 books.
Explanation
Divide total books by shelves.
442/13 = 34
FAQs on Factors of 442
1.What are the factors of 442?
2.Mention the prime factors of 442.
3.Is 442 a multiple of 13?
4.Mention the factor pairs of 442?
5.What is the square of 442?
6.How can children in India use numbers in everyday life to understand Factors of 442?
7.What are some fun ways kids in India can practice Factors of 442 with numbers?
8.What role do numbers and Factors of 442 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 442 skills?
Important Glossaries for Factor of 442
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 442 are 1, 2, 13, 17, 26, 34, 221, and 442.
- Prime factors: The factors which are prime numbers. For example, 2, 13, and 17 are prime factors of 442.
- 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 442 are (1, 442), (2, 221), etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 442 is 2 × 13 × 17.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number.
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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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