100 LearnersLast updated on May 26th, 2025
Factors of 394
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 394, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 394?
The numbers that divide 394 evenly are known as factors of 394.
A factor of 394 is a number that divides the number without remainder.
The factors of 394 are 1, 2, 197, and 394.
Negative factors of 394: -1, -2, -197, and -394.
Prime factors of 394: 2 and 197.
Prime factorization of 394: 2 × 197.
The sum of factors of 394: 1 + 2 + 197 + 394 = 594
How to Find Factors of 394?
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 394. Identifying the numbers which are multiplied to get the number 394 is the multiplication method.
Step 1: Multiply 394 by 1, 394 × 1 = 394.
Step 2: Check for other numbers that give 394 after multiplying 2 × 197 = 394
Therefore, the positive factor pairs of 394 are: (1, 394) and (2, 197).
All these factor pairs result in 394.
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 a simple division method
Step 1: Divide 394 by 1, 394 ÷ 1 = 394.
Step 2: Continue dividing 394 by the numbers until the remainder becomes 0.
394 ÷ 1 = 394
394 ÷ 2 = 197
Therefore, the factors of 394 are: 1, 2, 197, and 394.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 394 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
394 ÷ 2 = 197
197 ÷ 197 = 1
The prime factors of 394 are 2 and 197.
The prime factorization of 394 is: 2 × 197.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 394 is divided by 2 to get 197.
Step 2: Now divide 197 by 197 to get 1. Here, 197 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 394 is: 2 × 197.
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 394: (1, 394) and (2, 197).
Negative factor pairs of 394: (-1, -394) and (-2, -197).
Common Mistakes and How to Avoid Them in Factors of 394
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 394, 1 and 394 are also factors.
Factors of 394 Examples
Problem 1
There are 2 teams and 394 apples. How will they distribute them equally?
They will get 197 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of teams.
394/2 = 197
Problem 2
A rectangular garden has a width of 2 meters and a total area of 394 square meters. Find the length.
197 meters.
Explanation
To find the length of the garden, we use the formula, Area = length × width 394 = length × 2
To find the value of length, we need to shift 2 to the left side.
394/2 = length
Length = 197.
Problem 3
There are 197 boxes and 394 marbles. How many marbles will be in each box?
Each box will have 2 marbles.
Explanation
To find the marbles in each box, divide the total marbles by the boxes.
394/197 = 2
Problem 4
In a factory, there are 394 workers, and 2 shifts. How many workers are there in each shift?
There are 197 workers in each shift.
Explanation
Dividing the workers by the total shifts, we will get the number of workers in each shift.
394/2 = 197
Problem 5
394 chairs need to be arranged in 2 rows. How many chairs will go in each row?
Each of the rows has 197 chairs.
Explanation
Divide total chairs by rows.
394/2 = 197
FAQs on Factors of 394
1.What are the factors of 394?
2.Mention the prime factors of 394.
3.Is 394 a multiple of 2?
4.Mention the factor pairs of 394?
5.What is the square of 394?
6.How can children in Australia use numbers in everyday life to understand Factors of 394?
7.What are some fun ways kids in Australia can practice Factors of 394 with numbers?
8.What role do numbers and Factors of 394 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 394 skills?
Important Glossaries for Factors of 394
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 394 are 1, 2, 197, and 394.
- Prime factors: The factors which are prime numbers. For example, 2 and 197 are prime factors of 394.
- 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 394 are (1, 394) and (2, 197).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 394 is 2 × 197.
- Negative factors: Factors that are negative and divide the number without leaving a remainder. For example, -1, -2, -197, and -394 are negative factors of 394.
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About BrightChamps in Australia
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.
