117 LearnersLast updated on May 26th, 2025
Factors of 491
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 491, how they are used in real life, and tips to learn them quickly.
What are the Factors of 491?
The numbers that divide 491 evenly are known as factors of 491. A factor of 491 is a number that divides the number without remainder. The factors of 491 are 1 and 491. Negative factors of 491: -1 and -491. Prime factors of 491: 491. Prime factorization of 491: 491 (since 491 is a prime number). The sum of the factors of 491: 1 + 491 = 492
How to Find Factors of 491?
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
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify pairs of numbers that are multiplied to give 491. Since 491 is a prime number, the only multiplication factor pairs are: Step 1: Multiply 491 by 1, 491 × 1 = 491. Therefore, the positive factor pairs of 491 are: (1, 491). 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 which result as whole numbers as factors. Factors can be calculated by following a simple division method - Step 1: Divide 491 by 1, 491 ÷ 1 = 491. Step 2: Check if 491 is divisible by any number other than 1 and itself. Since it is not, the factors of 491 are: 1 and 491.
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: Since 491 is a prime number, it cannot be broken down further. The prime factors of 491 are 491 itself.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - Step 1: Since 491 is a prime number, it cannot be broken into a factor tree beyond (491). So, the prime factorization of 491 is: 491. 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 491: (1, 491). Negative factor pairs of 491: (-1, -491).
Common Mistakes and How to Avoid Them in Factors of 491
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
Children 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 491, 1 and 491 is also a factor.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors. For example, the factors of 491 consist of -1 and -491.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors. For example, considering 2.5 as a factor because 491/2.5 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 that all factors of 491 must be prime numbers. However, 491 itself is the only prime factor.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing wrong factors. For example, not recognizing that 491 is already a prime number and cannot be broken down further.
Factors of 491 Examples
Problem 1
There are 491 apples and 1 basket. How will they be divided?
All 491 apples will go into the basket.
Explanation
To divide the apples equally, we need to divide the total apples by the number of baskets. 491/1 = 491
Problem 2
A wall is 491 meters long. If each section is 1 meter long, how many sections are there?
There are 491 sections.
Explanation
To find the number of sections, we use the formula, Total length = sections × section length 491 = sections × 1 Sections = 491
Problem 3
There are 491 people and 491 seats. How many people will share each seat?
Each seat will have 1 person.
Explanation
To find the number of people per seat, divide the total number of people by the seats. 491/491 = 1
Problem 4
A company produces 491 units in one day. If each unit requires 1 hour to make, how many hours are needed to produce all units?
491 hours are needed.
Explanation
Dividing the total production hours by the units gives the hours required: 491/1 = 491
Problem 5
491 books need to be stored in 1 library section. How many books will go in that section?
All 491 books will go in that library section.
Explanation
Divide total books by sections: 491/1 = 491
FAQs on Factors of 491
1.What are the factors of 491?
2.Mention the prime factors of 491.
3.Is 491 a multiple of 7?
4.Mention the factor pairs of 491.
5.What is the square of 491?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 491?
7.What are some fun ways kids in Vietnam can practice Factors of 491 with numbers?
8.What role do numbers and Factors of 491 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 491 skills?
Important Glossaries for Factor of 491
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 491 are 1 and 491. Prime Factors: The factors which are prime numbers. For example, 491 is a prime factor of itself. 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 491 are (1, 491). Prime Number: A number greater than 1 that has no divisors other than 1 and itself. 491 is a prime number. Composite Number: A number with more than two factors. In this context, 491 is not a composite number as it is prime.
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About BrightChamps in Vietnam
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
: She loves to read number jokes and games.
