Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 442 apples and 34 baskets. How will they be divided equally?
They will get 13 apples each.
To divide the apples equally, we need to divide the total apples by the number of baskets.
442/34 = 13
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.
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.
There are 221 bags and 442 candies. How many candies will be in each bag?
Each bag will have 2 candies.
To find the candies in each bag, divide the total candies by the bags.
442/221 = 2
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.
Dividing the students by the total groups, we will get the number of students in each group.
442/2 = 221
442 books need to be arranged in 13 shelves. How many books will go on each shelf?
Each of the shelves has 34 books.
Divide total books by shelves.
442/13 = 34
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.
: She loves to read number jokes and games.