101 LearnersLast updated on May 26th, 2025
Factors of 294
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 294, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 294?
The numbers that divide 294 evenly are known as factors of 294.
A factor of 294 is a number that divides the number without a remainder.
The factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, and 294.
Negative factors of 294: -1, -2, -3, -6, -7, -14, -21, -42, -49, -98, -147, and -294.
Prime factors of 294: 2, 3, and 7.
Prime factorization of 294: 2 × 3 × 72.
The sum of factors of 294: 1 + 2 + 3 + 6 + 7 + 14 + 21 + 42 + 49 + 98 + 147 + 294 = 684
How to Find Factors of 294?
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 294. Identifying the numbers which are multiplied to get the number 294 is the multiplication method.
Step 1: Multiply 294 by 1, 294 × 1 = 294.
Step 2: Check for other numbers that give 294 after multiplying
2 × 147 = 294
3 × 98 = 294
6 × 49 = 294
7 × 42 = 294
Therefore, the positive factor pairs of 294 are: (1, 294), (2, 147), (3, 98), (6, 49), and (7, 42).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with 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 the simple division method -
Step 1: Divide 294 by 1, 294 ÷ 1 = 294.
Step 2: Continue dividing 294 by the numbers until the remainder becomes 0.
294 ÷ 1 = 294
294 ÷ 2 = 147
294 ÷ 3 = 98
294 ÷ 6 = 49
294 ÷ 7 = 42
Therefore, the factors of 294 are: 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294.
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 294 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
294 ÷ 2 = 147
147 ÷ 3 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1
The prime factors of 294 are 2, 3, and 7.
The prime factorization of 294 is: 2 × 3 × 72.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 294 is divided by 2 to get 147. c
Step 2: Now divide 147 by 3 to get 49.
Step 3: Then divide 49 by 7 to get 7. Here, 7 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 294 is: 2 × 3 × 72.
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 294: (1, 294), (2, 147), (3, 98), (6, 49), and (7, 42).
Negative factor pairs of 294: (-1, -294), (-2, -147), (-3, -98), (-6, -49), and (-7, -42).
Common Mistakes and How to Avoid Them in Factors of 294
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 294, 1 and 294 is also a factor.
Factors of 294 Examples
Problem 1
There are 6 teams and 294 medals. How will they distribute it equally?
They will get 49 medals each.
Explanation
To distribute the medals equally, we need to divide the total medals by the number of teams.
294/6 = 49
Problem 2
A rectangular garden has a length of 42 meters and a total area of 294 square meters. Find the width.
7 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
294 = 42 × width
To find the value of width, we need to shift 42 to the left side.
294/42 = width
Width = 7.
Problem 3
There are 21 boxes and 294 apples. How many apples will be in each box?
Each box will have 14 apples.
Explanation
To find the apples in each box, divide the total apples by the boxes.
294/21 = 14
Problem 4
In a class, there are 294 students, and 7 groups. How many students are there in each group?
There are 42 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
294/7 = 42
Problem 5
294 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 98 books.
Explanation
Divide total books by shelves.
294/3 = 98
FAQs on Factors of 294
1.What are the factors of 294?
2.Mention the prime factors of 294.
3.Is 294 a multiple of 6?
4.Mention the factor pairs of 294?
5.What is the square of 294?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 294?
7.What are some fun ways kids in Bahrain can practice Factors of 294 with numbers?
8.What role do numbers and Factors of 294 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 294 skills?
Important Glossaries for Factor of 294
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, and 294.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 7 are prime factors of 294.
- 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 294 are (1, 294), (2, 147), etc
- Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 294 is 2 × 3 × 72.
- Multiplication method: A method to find factor pairs by identifying numbers that multiply to the original number. For example, the factor pairs of 294 are found using 2 × 147, 3 × 98, etc.
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About BrightChamps in Bahrain
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.
