117 LearnersLast updated on May 26th, 2025
Factors of 694
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 694, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 694?
The numbers that divide 694 evenly are known as factors of 694.
A factor of 694 is a number that divides the number without a remainder.
The factors of 694 are 1, 2, 347, and 694.
Negative factors of 694: -1, -2, -347, and -694.
Prime factors of 694: 2 and 347.
Prime factorization of 694: 2 × 347.
The sum of factors of 694: 1 + 2 + 347 + 694 = 1044
How to Find Factors of 694?
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 694. Identifying the numbers which are multiplied to get the number 694 is the multiplication method.
Step 1: Multiply 694 by 1, 694 × 1 = 694.
Step 2: Check for other numbers that give 694 after multiplying 2 × 347 = 694
Therefore, the positive factor pairs of 694 are: (1, 694), (2, 347).
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 694 by 1, 694 ÷ 1 = 694.
Step 2: Continue dividing 694 by the numbers until the remainder becomes 0.
694 ÷ 1 = 694
694 ÷ 2 = 347
Therefore, the factors of 694 are: 1, 2, 347, 694.
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: In this process, prime factors of 694 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
694 ÷ 2 = 347
347 ÷ 347 = 1
The prime factors of 694 are 2 and 347.
The prime factorization of 694 is: 2 × 347.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 694 is divided by 2 to get 347.
Step 2: Now divide 347 by itself to get 1. So, the prime factorization of 694 is: 2 × 347.
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 694: (1, 694), (2, 347).
Negative factor pairs of 694: (-1, -694), (-2, -347).
Common Mistakes and How to Avoid Them in Factors of 694
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 694, 1 and 694 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 694 consist of -1, -2, -347, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 694/1.5 ≈ 462.67, 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 694 are prime numbers
For example, 2 and 347 are the prime factors of 694, but it has other factors like 694.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 694 as 2 × 347 and missing the key factors.
Factors of 694 Examples
Problem 1
A charity has 694 gift bags and 2 groups of volunteers. How will they divide the gift bags equally?
They will get 347 gift bags each.
Explanation
To divide the gift bags equally, we need to divide the total gift bags by the number of groups.
694/2 = 347
Problem 2
A billboard measures a total area of 694 square meters and has a length of 2 meters. Find the width.
347 meters.
Explanation
To find the width of the billboard, we use the formula,
Area = length × width
694 = 2 × width
To find the value of width, we need to shift 2 to the left side.
694/2 = width
Width = 347.
Problem 3
There are 347 packages and 694 items. How many items will be in each package?
Each package will have 2 items.
Explanation
To find the items in each package, divide the total items by the number of packages.
694/347 = 2
Problem 4
In a school, there are 694 students and 347 classrooms. How many students are there in each classroom?
There are 2 students in each classroom.
Explanation
Dividing the students by the total classrooms, we will get the number of students in each classroom.
694/347 = 2
Problem 5
A warehouse needs to arrange 694 boxes in rows of 2. How many rows will there be?
There will be 347 rows.
Explanation
Divide the total boxes by the number of boxes per row.
694/2 = 347
FAQs on Factors of 694
1.What are the factors of 694?
2.Mention the prime factors of 694.
3.Is 694 a multiple of 2?
4.Mention the factor pairs of 694.
5.What is the square of 694?
6.How can children in Qatar use numbers in everyday life to understand Factors of 694?
7.What are some fun ways kids in Qatar can practice Factors of 694 with numbers?
8.What role do numbers and Factors of 694 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 694 skills?
Important Glossaries for Factors of 694
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 694 are 1, 2, 347, and 694.
- Prime factors: The factors which are prime numbers. For example, 2 and 347 are prime factors of 694.
- 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 694 are (1, 694) and (2, 347).
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 694 is 2 × 347.
- Multiplication method: A technique used to find factors by identifying pairs of numbers that multiply to the original number.
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About BrightChamps in Qatar
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.
