Last updated on May 26th, 2025
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 492, how they are used in real life, and tips to learn them quickly.
The numbers that divide 492 evenly are known as factors of 492. A factor of 492 is a number that divides the number without remainder. The factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, and 492. Negative factors of 492: -1, -2, -3, -4, -6, -12, -41, -82, -123, -164, -246, and -492. Prime factors of 492: 2, 3, and 41. Prime factorization of 492: 2² × 3 × 41. The sum of factors of 492: 1 + 2 + 3 + 4 + 6 + 12 + 41 + 82 + 123 + 164 + 246 + 492 = 1176
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
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 492. Identifying the numbers which are multiplied to get the number 492 is the multiplication method. Step 1: Multiply 492 by 1, 492 × 1 = 492. Step 2: Check for other numbers that give 492 after multiplying 2 × 246 = 492 3 × 164 = 492 4 × 123 = 492 6 × 82 = 492 12 × 41 = 492 Therefore, the positive factor pairs of 492 are: (1, 492), (2, 246), (3, 164), (4, 123), (6, 82), (12, 41). All these factor pairs result in 492. For every positive factor, there is a negative factor.
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 a simple division method - Step 1: Divide 492 by 1, 492 ÷ 1 = 492. Step 2: Continue dividing 492 by the numbers until the remainder becomes 0. 492 ÷ 1 = 492 492 ÷ 2 = 246 492 ÷ 3 = 164 492 ÷ 4 = 123 492 ÷ 6 = 82 492 ÷ 12 = 41 Therefore, the factors of 492 are: 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492.
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 492 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 492 ÷ 2 = 246 246 ÷ 2 = 123 123 ÷ 3 = 41 41 ÷ 41 = 1 The prime factors of 492 are 2, 3, and 41. The prime factorization of 492 is: 2² × 3 × 41.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - Step 1: Firstly, 492 is divided by 2 to get 246. Step 2: Now divide 246 by 2 to get 123. Step 3: Then divide 123 by 3 to get 41. Here, 41 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 492 is: 2² × 3 × 41. 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 492: (1, 492), (2, 246), (3, 164), (4, 123), (6, 82), (12, 41). Negative factor pairs of 492: (-1, -492), (-2, -246), (-3, -164), (-4, -123), (-6, -82), (-12, -41).
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 6 friends and 492 marbles. How will they divide it equally?
They will get 82 marbles each.
To divide the marbles equally, we need to divide the total marbles by the number of friends. 492 ÷ 6 = 82
A rectangular garden has a length of 12 meters and a total area of 492 square meters. Find the width.
41 meters.
To find the width of the garden, we use the formula, Area = length × width 492 = 12 × width To find the value of width, we need to shift 12 to the left side. 492 ÷ 12 = width Width = 41.
There are 123 gift bags and 492 candies. How many candies will be in each bag?
Each bag will have 4 candies.
To find the candies in each bag, divide the total candies by the bags. 492 ÷ 123 = 4
In a class, there are 492 students, and they are divided into 82 groups. How many students are there in each group?
There are 6 students in each group.
Dividing the students by the total groups, we will get the number of students in each group. 492 ÷ 82 = 6
492 books need to be arranged in 41 shelves. How many books will go on each shelf?
Each of the shelves has 12 books.
Divide the total books by shelves. 492 ÷ 41 = 12
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, and 492. Prime factors: The factors which are prime numbers. For example, 2, 3, and 41 are prime factors of 492. 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 492 are (1, 492), (2, 246), etc. Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 492 is 2² × 3 × 41. Divisibility: The ability of one number to be divided by another without a remainder. For example, 492 is divisible by 2, 3, and 41.
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.