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 494, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 494 evenly are known as factors of 494. A factor of 494 is a number that divides the number without remainder. The factors of 494 are 1, 2, 13, 19, 26, 38, 247, and 494. Negative factors of 494: -1, -2, -13, -19, -26, -38, -247, and -494. Prime factors of 494: 2, 13, and 19. Prime factorization of 494: 2 × 13 × 19. The sum of factors of 494: 1 + 2 + 13 + 19 + 26 + 38 + 247 + 494 = 840
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 494. Identifying the numbers which are multiplied to get the number 494 is the multiplication method. Step 1: Multiply 494 by 1, 494 × 1 = 494. Step 2: Check for other numbers that give 494 after multiplying 2 × 247 = 494 13 × 38 = 494 19 × 26 = 494 Therefore, the positive factor pairs of 494 are: (1, 494), (2, 247), (13, 38), (19, 26). All these factor pairs result in 494. 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 in whole numbers as factors. Factors can be calculated by following the simple division method - Step 1: Divide 494 by 1, 494 ÷ 1 = 494. Step 2: Continue dividing 494 by the numbers until the remainder becomes 0. 494 ÷ 1 = 494 494 ÷ 2 = 247 494 ÷ 13 = 38 494 ÷ 19 = 26 Therefore, the factors of 494 are: 1, 2, 13, 19, 26, 38, 247, and 494.
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 494 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 494 ÷ 2 = 247 247 ÷ 13 = 19 19 ÷ 19 = 1 The prime factors of 494 are 2, 13, and 19. The prime factorization of 494 is: 2 × 13 × 19.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - Step 1: Firstly, 494 is divided by 2 to get 247. Step 2: Now divide 247 by 13 to get 19. Step 3: 19 is a prime number and cannot be divided further. So, the prime factorization of 494 is: 2 × 13 × 19. 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 494: (1, 494), (2, 247), (13, 38), and (19, 26). Negative factor pairs of 494: (-1, -494), (-2, -247), (-13, -38), and (-19, -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 19 boxes and 494 marbles. How will they divide them equally?
They will get 26 marbles each.
To divide the marbles equally, we need to divide the total marbles by the number of boxes. 494/19 = 26
A rectangular garden has a length of 13 meters and a total area of 494 square meters. Find the width?
38 meters.
To find the width of the garden, we use the formula: Area = length × width 494 = 13 × width To find the width, we need to shift 13 to the left side. 494/13 = width Width = 38.
There are 2 trucks and 494 crates. How many crates will be in each truck?
Each truck will have 247 crates.
To find the crates in each truck, divide the total crates by the trucks. 494/2 = 247
In a warehouse, there are 494 boxes, and they need to be arranged in 38 stacks. How many boxes are there in each stack?
There are 13 boxes in each stack.
Dividing the boxes by the total stacks, we will get the number of boxes in each stack. 494/38 = 13
494 books need to be arranged in 26 shelves. How many books will go on each shelf?
Each of the shelves has 19 books.
Divide total books by shelves. 494/26 = 19
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 494 are 1, 2, 13, 19, 26, 38, 247, and 494. Prime factors: The factors which are prime numbers. For example, 2, 13, and 19 are prime factors of 494. 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 494 are (1, 494), (2, 247), etc. Prime factorization: Breaking down a number into its basic prime numbers that multiply to the original number. For 494, it is 2 × 13 × 19. Multiple: A number that can be divided by another number without leaving a remainder. For example, 494 is a multiple of 19.
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.