116 LearnersLast updated on May 26th, 2025
Factors of 4913
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 4913, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 4913?
The numbers that divide 4913 evenly are known as factors of 4913.
A factor of 4913 is a number that divides the number without a remainder.
The factors of 4913 are 1, 17, 289, and 4913.
Negative factors of 4913: -1, -17, -289, and -4913.
Prime factors of 4913: 17.
Prime factorization of 4913: 17 × 17 × 17.
The sum of factors of 4913: 1 + 17 + 289 + 4913 = 5220
How to Find Factors of 4913?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the division method
- Prime factors and Prime factorization
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 4913. Identifying the numbers which are multiplied to get the number 4913 is the multiplication method.
Step 1: Multiply 4913 by 1, 4913 × 1 = 4913.
Step 2: Check for other numbers that give 4913 after multiplying
17 × 289 = 4913
Therefore, the positive factor pairs of 4913 are: (1, 4913) and (17, 289).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
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 4913 by 1, 4913 ÷ 1 = 4913.
Step 2: Continue dividing 4913 by the numbers until the remainder becomes 0.
4913 ÷ 1 = 4913
4913 ÷ 17 = 289
4913 ÷ 289 = 17
Therefore, the factors of 4913 are: 1, 17, 289, 4913.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 4913 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
4913 ÷ 17 = 289
289 ÷ 17 = 17
17 ÷ 17 = 1
The prime factor of 4913 is 17.
The prime factorization of 4913 is: 17 × 17 × 17.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 4913 is divided by 17 to get 289.
Step 2: Now divide 289 by 17 to get 17.
Step 3: Here, 17 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 4913 is: 17 × 17 × 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 4913: (1, 4913), (17, 289).
Negative factor pairs of 4913: (-1, -4913), (-17, -289).
Common Mistakes and How to Avoid Them in Factors of 4913
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 4913, 1 and 4913 are also factors.
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 4913 consist of -1, -17, etc.
Mistake 3
Including the Fraction
Children might sometimes mistakenly add fractions as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor is incorrect because 4913/1.5 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 all the factors of 4913 are prime numbers.
For example, 17 is a prime factor of 4913, but it has other factors like 289.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing the wrong factors.
For example, not breaking 4913 as 17 × 17 × 17 and missing all the key factors.
Factors of 4913 Examples
Problem 1
A gardener has 4913 seeds and wants to plant them in 17 rows. How many seeds will be in each row?
There will be 289 seeds in each row.
Explanation
To divide the seeds equally, we need to divide the total seeds by the number of rows.
4913/17 = 289
Problem 2
A rectangular plot has an area of 4913 square meters. If the width is 289 meters, what is the length of the plot?
The length of the plot is 17 meters.
Explanation
To find the length of the plot, use the formula, Area = length × width
4913 = length × 289
To find the value of length, divide 4913 by 289.
4913/289 = length
Length = 17.
Problem 3
A company has 4913 brochures to distribute equally in 289 offices. How many brochures will each office receive?
Each office will receive 17 brochures.
Explanation
To find the brochures in each office, divide the total brochures by the offices.
4913/289 = 17
Problem 4
There are 4913 tiles and 17 workers. How many tiles will each worker have to lay?
Each worker will lay 289 tiles.
Explanation
Dividing the tiles with the total workers, we will get the number of tiles each worker lays.
4913/17 = 289
Problem 5
A library has 4913 books and 17 shelves. How many books will go on each shelf?
Each shelf will have 289 books.
Explanation
Divide total books by shelves.
4913/17 = 289
FAQs on Factors of 4913
1.What are the factors of 4913?
2.Mention the prime factors of 4913.
3.Is 4913 a multiple of 17?
4.Mention the factor pairs of 4913?
5.What is the cube of 17?
6.How can children in India use numbers in everyday life to understand Factors of 4913?
7.What are some fun ways kids in India can practice Factors of 4913 with numbers?
8.What role do numbers and Factors of 4913 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 4913 skills?
Important Glossaries for Factors of 4913
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 4913 are 1, 17, 289, and 4913.
- Prime factors: The factors which are prime numbers. For example, 17 is a prime factor of 4913.
- 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 4913 are (1, 4913) and (17, 289).
- Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 4913 is 17 × 17 × 17.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 4913 is a multiple of 17.
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About BrightChamps in India
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
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