117 LearnersLast updated on May 26th, 2025
Factors of 687
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 687, how they are used in real life, and tips to learn them quickly.
What are the Factors of 687?
The numbers that divide 687 evenly are known as factors of 687.
A factor of 687 is a number that divides the number without remainder.
The factors of 687 are 1, 3, 229, and 687.
Negative factors of 687: -1, -3, -229, and -687.
Prime factors of 687: 3 and 229.
Prime factorization of 687: 3 × 229.
The sum of factors of 687: 1 + 3 + 229 + 687 = 920
How to Find Factors of 687?
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 687. Identifying the numbers which are multiplied to get the number 687 is the multiplication method.
Step 1: Multiply 687 by 1, 687 × 1 = 687.
Step 2: Check for other numbers that give 687 after multiplying 3 × 229 = 687
Therefore, the positive factor pairs of 687 are: (1, 687) and (3, 229).
All these factor pairs result in 687.
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 687 by 1, 687 ÷ 1 = 687.
Step 2: Continue dividing 687 by the numbers until the remainder becomes 0.
687 ÷ 1 = 687
687 ÷ 3 = 229
Therefore, the factors of 687 are: 1, 3, 229, 687.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. 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 687 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
687 ÷ 3 = 229
229 ÷ 229 = 1
The prime factors of 687 are 3 and 229.
The prime factorization of 687 is: 3 × 229.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 687 is divided by 3 to get 229.
Step 2: Divide 229 by 229 to get 1. Here, 229 is a prime number, that cannot be divided anymore. So, the prime factorization of 687 is: 3 × 229.
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 687: (1, 687) and (3, 229).
Negative factor pairs of 687: (-1, -687) and (-3, -229).
Common Mistakes and How to Avoid Them in Factors of 687
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 687, 1 and 687 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of 687 consist of -1, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 2.5 as a factor, because 687/2.5 = 274.8, and it 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 687 are prime numbers.
For example, 3 and 229 are the prime factors of 687, but it has other factors like 1 and 687.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up in writing wrong factors.
For example, not breaking 687 as 3 × 229 and missing all the key factors.
Factors of 687 Examples
Problem 1
There are 3 teams and 687 people. How will they divide it equally?
They will get 229 people each.
Explanation
To divide the people equally, we need to divide the total people with the number of teams.
687/3 = 229
Problem 2
A banner is rectangular, the width of the banner is 3 meters and the total area is 687 square meters. Find the length?
229 meters.
Explanation
To find the length of the banner, we use the formula,
Area = length × width
687 = length × 3
To find the value of length, we need to shift 3 to the left side.
687/3 = length
Length = 229.
Problem 3
There are 687 pieces of candy and 229 gift bags. How many pieces will be in each bag?
Each bag will have 3 pieces of candy.
Explanation
To find the pieces of candy in each bag, divide the total pieces with the bags.
687/229 = 3
Problem 4
A conference room has 687 chairs arranged in 3 sections. How many chairs are there in each section?
There are 229 chairs in each section.
Explanation
Dividing the chairs with the total sections, we will get the number of chairs in each section.
687/3 = 229
Problem 5
687 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 229 books.
Explanation
Divide total books with shelves.
687/3 = 229
FAQs on Factors of 687
1.What are the factors of 687?
2.Mention the prime factors of 687.
3.Is 687 a multiple of 3?
4.Mention the factor pairs of 687?
5.What is the square of 687?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 687?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 687 with numbers?
8.What role do numbers and Factors of 687 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 687 skills?
Important Glossaries for Factor of 687
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 687 are 1, 3, 229, and 687.
- Prime factors: The factors which are prime numbers. For example, 3 and 229 are prime factors of 687.
- 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 687 are (1, 687) and (3, 229).
- Multiples: Numbers obtained by multiplying the original number with other whole numbers. For example, 687 is a multiple of 3.
- Prime factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 687 is 3 × 229.
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About BrightChamps in United Arab Emirates
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.
