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 493, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 493 evenly are known as factors of 493. A factor of 493 is a number that divides the number without remainder. The factors of 493 are 1, 17, 29, and 493. Negative factors of 493: -1, -17, -29, and -493. Prime factors of 493: 17 and 29. Prime factorization of 493: 17 × 29. The sum of factors of 493: 1 + 17 + 29 + 493 = 540
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 493. Identifying the numbers which are multiplied to get the number 493 is the multiplication method. Step 1: Multiply 493 by 1, 493 × 1 = 493. Step 2: Check for other numbers that give 493 after multiplying 17 × 29 = 493 Therefore, the positive factor pairs of 493 are: (1, 493) and (17, 29). All these factor pairs result in 493. 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 493 by 1, 493 ÷ 1 = 493. Step 2: Continue dividing 493 by the numbers until the remainder becomes 0. 493 ÷ 1 = 493 493 ÷ 17 = 29 493 ÷ 29 = 17 Therefore, the factors of 493 are: 1, 17, 29, 493.
The factors can be found by dividing 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 493 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 493 ÷ 17 = 29 29 ÷ 29 = 1 The prime factors of 493 are 17 and 29. The prime factorization of 493 is: 17 × 29.
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show - Step 1: Firstly, 493 is divided by 17 to get 29. Step 2: Now divide 29 by 29 to get 1. Here, 29 is a prime number, and it cannot be divided anymore. So, the prime factorization of 493 is: 17 × 29. 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 493: (1, 493) and (17, 29). Negative factor pairs of 493: (-1, -493) and (-17, -29).
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 17 students and 493 candies. How will they divide it equally?
They will get 29 candies each.
To divide the candies equally, we need to divide the total candies with the number of students. 493/17 = 29
A rectangular garden has a length of 29 meters and the total area is 493 square meters. What is the width?
17 meters.
To find the width of the garden, we use the formula, Area = length × width 493 = 29 × width To find the value of width, we need to shift 29 to the left side. 493/29 = width Width = 17.
There are 29 crates and 493 apples. How many apples will be in each crate?
Each crate will have 17 apples.
To find the apples in each crate, divide the total apples with the crates. 493/29 = 17
A classroom has 493 chairs and 17 rows. How many chairs are there in each row?
There are 29 chairs in each row.
Dividing the chairs with the total rows, we will get the number of chairs in each row. 493/17 = 29
493 books need to be arranged in 17 shelves. How many books will go on each shelf?
Each of the shelves has 29 books.
Divide total books with shelves. 493/17 = 29
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 493 are 1, 17, 29, and 493. Prime factors: The factors which are prime numbers. For example, 17 and 29 are prime factors of 493. 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 493 are (1, 493) and (17, 29). Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 493 is 17 × 29. Multiplication method: A technique to find factors by identifying pairs of numbers that multiply to give the original number. For example, for 493, the pairs are (1, 493) and (17, 29).
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.