134 LearnersLast updated on May 26th, 2025
Factors of 1794
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 1794, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1794?
The numbers that divide 1794 evenly are known as factors of 1794.
A factor of 1794 is a number that divides the number without remainder.
The factors of 1794 are 1, 2, 3, 6, 299, 598, 897, and 1794.
Negative factors of 1794: -1, -2, -3, -6, -299, -598, -897, and -1794.
Prime factors of 1794: 2, 3, and 299.
Prime factorization of 1794: 2 × 3 × 299.
The sum of factors of 1794: 1 + 2 + 3 + 6 + 299 + 598 + 897 + 1794 = 3600
How to Find Factors of 1794?
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 1794. Identifying the numbers which are multiplied to get the number 1794 is the multiplication method.
Step 1: Multiply 1794 by 1, 1794 × 1 = 1794.
Step 2: Check for other numbers that give 1794 after multiplying
2 × 897 = 1794
3 × 598 = 1794
6 × 299 = 1794
Therefore, the positive factor pairs of 1794 are: (1, 1794), (2, 897), (3, 598), (6, 299).
All these factor pairs result in 1794.
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 1794 by 1, 1794 ÷ 1 = 1794.
Step 2: Continue dividing 1794 by the numbers until the remainder becomes 0.
1794 ÷ 1 = 1794
1794 ÷ 2 = 897
1794 ÷ 3 = 598
1794 ÷ 6 = 299
Therefore, the factors of 1794 are: 1, 2, 3, 6, 299, 598, 897, 1794.
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 1794 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1794 ÷ 2 = 897
897 ÷ 3 = 299
299 ÷ 299 = 1
The prime factors of 1794 are 2, 3, and 299.
The prime factorization of 1794 is: 2 × 3 × 299.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1794 is divided by 2 to get 897.
Step 2: Now divide 897 by 3 to get 299.
Step 3: Here, 299 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 1794 is: 2 × 3 × 299.
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 1794: (1, 1794), (2, 897), (3, 598), (6, 299).
Negative factor pairs of 1794: (-1, -1794), (-2, -897), (-3, -598), (-6, -299).
Common Mistakes and How to Avoid Them in Factors of 1794
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and ways to avoid them.
Mistake 1
Forgetting the number itself and 1 is a factor
People 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 1794, 1 and 1794 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 1794 include -1, -2, -3, etc.
Mistake 3
Including the Fraction
People might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 1794/1.5 = 1196, 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 1794 are prime numbers.
For example, 2, 3, and 299 are the prime factors of 1794, but it has other factors like 6, 897.
Mistake 5
Mistake in Factorization
People might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1794 as 2 × 3 × 299 and missing all the key factors.
Factors of 1794 Examples
Problem 1
There are 6 teams in a competition and 1794 participants. How many participants are in each team if they are divided equally?
Each team has 299 participants.
Explanation
To divide the participants equally, we need to divide the total participants by the number of teams.
1794/6 = 299
Problem 2
A rectangular garden has a length of 3 meters and a total area of 1794 square meters. What is the width of the garden?
598 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1794 = 3 × width
To find the value of the width, we need to shift 3 to the left side.
1794/3 = width
Width = 598.
Problem 3
There are 299 boxes and 1794 marbles. How many marbles will be in each box?
Each box will have 6 marbles.
Explanation
To find the marbles in each box, divide the total marbles by the boxes.
1794/299 = 6
Problem 4
In a conference, there are 1794 participants and 3 different sessions. How many participants are there in each session if equally divided?
There are 598 participants in each session.
Explanation
Dividing the participants by the total sessions, we will get the number of participants in each session.
1794/3 = 598
Problem 5
1794 tickets are to be arranged in 2 rows. How many tickets will be in each row?
Each row will have 897 tickets.
Explanation
Divide total tickets by rows.
1794/2 = 897
FAQs on Factors of 1794
1.What are the factors of 1794?
2.Mention the prime factors of 1794.
3.Is 1794 a multiple of 3?
4.Mention the factor pairs of 1794?
5.What is the square of 1794?
6.How can children in United States use numbers in everyday life to understand Factors of 1794?
7.What are some fun ways kids in United States can practice Factors of 1794 with numbers?
8.What role do numbers and Factors of 1794 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 1794 skills?
Important Glossaries for Factors of 1794
- Factors: The numbers that divide the given number without leaving a remainder. For example, the factors of 1794 are 1, 2, 3, 6, 299, 598, 897, and 1794.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 299 are prime factors of 1794.
- 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 1794 are (1, 1794), (2, 897), etc.
- Prime factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 1794 is 2 × 3 × 299.
- Negative factors: Factors that are negative numbers. For example, -1, -2, -3, -6, -299, -598, -897, and -1794 are negative factors of 1794.
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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
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