122 LearnersLast updated on May 26th, 2025
Factors of 487
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 487, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 487?
The numbers that divide 487 evenly are known as factors of 487. A factor of 487 is a number that divides the number without remainder. The factors of 487 are 1 and 487, as 487 is a prime number. Negative factors of 487: -1 and -487. Prime factors of 487: 487. Prime factorization of 487: 487. The sum of factors of 487: 1 + 487 = 488
How to Find Factors of 487?
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 the pairs of numbers that are multiplied to give 487. Since 487 is a prime number, the only multiplication pair is: Step 1: Multiply 487 by 1, 487 × 1 = 487. Therefore, the positive factor pair of 487 is: (1, 487). 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 487 by 1, 487 ÷ 1 = 487. Step 2: Check for other numbers. Since 487 is a prime number, no other division results in a whole number. Therefore, the factors of 487 are: 1 and 487.
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 487 is a prime number, it cannot be divided further by any prime number other than itself. The prime factors of 487 are 487. The prime factorization of 487 is: 487.
Factor Tree
The factor tree is a graphical representation of breaking down any number into prime factors. Since 487 is already a prime number, the factor tree consists just of the number itself. 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 487: (1, 487). Negative factor pairs of 487: (-1, -487).
Common Mistakes and How to Avoid Them in Factors of 487
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 487, 1 and 487 are also factors.
Mistake 2
Ignoring Primality
Since 487 is a prime number, it only has two factors: 1 and itself. Make sure to confirm whether a number is prime to avoid unnecessary calculations.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be a factor. For example, thinking 1.5 as a factor, because 487/1.5 is not a whole number.
Mistake 4
Confusing Factors With Multiples
Remember that factors are numbers that divide the number, not numbers that are multiplied to reach it. For example, 487 is not a multiple of any number other than 1 and 487.
Mistake 5
Mistake in Prime Factorization
Children might assume there are other prime factors in prime numbers. For 487, there are no hidden prime factors; it is a prime number itself.
Factors of 487 Examples
Problem 1
There are 487 apples and 1 basket. How will they fit?
All 487 apples will fit in the basket.
Explanation
Since there is only one basket, all apples will go into that basket.
Problem 2
A line of 487 meters needs to be divided into sections of equal length. What are the possible lengths of the sections?
1 meter or 487 meters per section.
Explanation
Since 487 is a prime number, the line can only be divided into sections of 1 meter each or one section of 487 meters.
Problem 3
A mural is 487 square meters, and you want to divide it equally among artists. How many artists can work on it together?
Either 1 artist does the whole mural or 487 artists each take 1 square meter.
Explanation
The mural can only be divided into sections of 1 square meter, or the whole mural is done by one artist since 487 is a prime number.
Problem 4
A company has 487 employees and wants to form teams of equal size. What are the possible team sizes?
Each team could either have 1 employee or all 487 employees in one team.
Explanation
Since 487 is a prime number, it can only be divided into teams of 1 or all employees.
Problem 5
You have 487 pages to print, and you want to divide them evenly among printers. How many pages per printer?
Either 1 page per printer or 487 pages for one printer.
Explanation
The pages can only be divided evenly if each printer gets 1 page or one printer takes all 487 since 487 is a prime number.
FAQs on Factors of 487
1.What are the factors of 487?
2.Mention the prime factors of 487.
3.Is 487 a multiple of 4?
4.Mention the factor pairs of 487?
5.What is the square of 487?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 487?
7.What are some fun ways kids in Vietnam can practice Factors of 487 with numbers?
8.What role do numbers and Factors of 487 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 487 skills?
Important Glossaries for Factor of 487
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 487 are 1 and 487. Prime factors: The factors which are prime numbers. For example, 487 is a prime factor of itself. Prime number: A number that has exactly two distinct positive factors: 1 and itself. For example, 487. Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 487 is (1, 487). Division method: A method of finding factors by dividing the number by integers to check for zero remainders.
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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.
