117 LearnersLast updated on May 26th, 2025
Factors of 691
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 691, how they are used in real life, and tips to learn them quickly.
What are the Factors of 691?
The numbers that divide 691 evenly are known as factors of 691.
A factor of 691 is a number that divides the number without a remainder.
The factors of 691 are 1 and 691.
Negative factors of 691: -1 and -691.
Prime factor of 691: 691.
The sum of factors of 691: 1 + 691 = 692
How to Find Factors of 691?
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 691. Identifying the numbers which are multiplied to get the number 691 is the multiplication method.
Step 1: Multiply 691 by 1, 691 × 1 = 691.
Therefore, the positive factor pair of 691 is: (1, 691).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number by 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 691 by 1, 691 ÷ 1 = 691.
Since 691 is a prime number, it is only divisible by 1 and itself.
Therefore, the factors of 691 are: 1 and 691.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. We can find the prime factor using the following methods:
- Using prime factorization
- Using a factor tree
Using Prime Factorization: 691 is a prime number, so its only prime factor is 691 itself.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors.
Since 691 is a prime number, it cannot be broken down further. Thus, the prime factorization of 691 is 691.
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 pair of 691: (1, 691).
Negative factor pair of 691: (-1, -691).
Common Mistakes and How to Avoid Them in Factors of 691
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 691, 1 and 691 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 691 consist of -1 and -691.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 691/1.5 = 460.6667, 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 691 are prime numbers. In this case, 691 is a prime number, so the only factor is itself.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing wrong factors.
For example, trying to break 691 into smaller factors when it is already a prime number.
Factors of 691 Examples
Problem 1
There are 691 marbles and 1 container. How many marbles will be in the container if distributed equally?
All 691 marbles will be in the container.
Explanation
To distribute the marbles equally, we need to divide the total number of marbles by the number of containers.
691/1 = 691
Problem 2
A narrow path has a length of 691 meters. If someone takes 1 large step every meter, how many steps will they take?
691 steps.
Explanation
To find the number of steps, divide the total distance by the step length.
691/1 = 691
Problem 3
A farmer has 691 apples and wants to package them, one apple per package. How many packages does he need?
691 packages.
Explanation
To determine the number of packages, use the number of apples.
691/1 = 691
Problem 4
A book contains 691 pages. If a reader reads 1 page per day, how many days will it take to finish the book?
691 days.
Explanation
To find out how many days it will take, divide the number of pages by pages read per day.
691/1 = 691
Problem 5
691 people are attending a concert. If each person occupies a single seat, how many seats are needed?
691 seats.
Explanation
To determine the number of seats needed, use the total number of people.
691/1 = 691
FAQs on Factors of 691
1.What are the factors of 691?
2.Is 691 a prime number?
3.What is the prime factor of 691?
4.What is the square of 691?
5.Mention the factor pair of 691?
6.How can children in Philippines use numbers in everyday life to understand Factors of 691?
7.What are some fun ways kids in Philippines can practice Factors of 691 with numbers?
8.What role do numbers and Factors of 691 play in helping children in Philippines develop problem-solving skills?
9.How can families in Philippines create number-rich environments to improve Factors of 691 skills?
Important Glossaries for Factors of 691
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 691 are 1 and 691.
- Prime factor: A factor that is a prime number. For example, 691 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 pair of 691 is (1, 691).
- Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 691 is a prime number.
- Division method: A method used to find factors by dividing the number by whole numbers to check for remainders. For example, finding factors of 691 using division confirms it only divides evenly by 1 and 691.
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About BrightChamps in Philippines
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.
