101 LearnersLast updated on May 26th, 2025
Factors of 1673
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 1673, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1673?
The numbers that divide 1673 evenly are known as factors of 1673.
A factor of 1673 is a number that divides the number without remainder.
The factors of 1673 are 1 and 1673.
Negative factors of 1673: -1 and -1673.
Prime factors of 1673: 1673 is a prime number itself.
Prime factorization of 1673: 1673 (since it is a prime number).
The sum of factors of 1673: 1 + 1673 = 1674
How to Find Factors of 1673?
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 1673. With 1673 being a prime number, the only multiplication pair is itself and one.
Step 1: Multiply 1673 by 1, 1673 × 1 = 1673.
Therefore, the only positive factor pair of 1673 is (1, 1673).
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 1673 by 1, 1673 ÷ 1 = 1673. Since 1673 is a prime number, the division by numbers other than 1 and 1673 will not yield a whole number.
Therefore, the factors of 1673 are: 1 and 1673.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
Using Prime Factorization: In this process, since 1673 is a prime number, it does not break down into other prime factors.
The prime factorization of 1673 is: 1673.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. However, since 1673 is a prime number, a factor tree is not applicable. So, the prime factorization of 1673 is: 1673.
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 1673: (1, 1673).
Negative factor pairs of 1673: (-1, -1673).
Common Mistakes and How to Avoid Them in Factors of 1673
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
People might forget to add the given number itself and 1 as a factor. The number itself and 1 are factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1673, 1 and 1673 are also factors.
Factors of 1673 Examples
Problem 1
A concert has 1673 seats, and tickets are sold in pairs. How many pairs can be formed?
836 pairs can be formed.
Explanation
To divide the seats into pairs, divide the total seats by 2.
1673/2 = 836.5
Since you cannot have half a pair, 836 full pairs can be formed.
Problem 2
A library has 1673 books, and they need to be divided into sections with each section having an equal number of books. If one section has all the books, how many sections are there?
1 section.
Explanation
If one section has all the books, there is only 1 section.
Dividing 1673 by 1 gives 1673, which means all books are in one section.
Problem 3
A marathon has 1673 participants. If each team can have one participant, how many teams can be formed?
1673 teams can be formed.
Explanation
Each team has one participant, so the number of teams is the same as the number of participants.
1673/1 = 1673
Problem 4
If a car can carry only one person and there are 1673 people attending an event, how many cars are needed?
1673 cars are needed.
Explanation
Each car can carry one person, so the number of cars needed is equal to the number of people.
1673/1 = 1673
Problem 5
1673 apples need to be packed into boxes with each box containing one apple. How many boxes are needed?
1673 boxes are needed.
Explanation
Each box holds one apple, so the number of boxes equals the number of apples.
1673/1 = 1673
FAQs on Factors of 1673
1.What are the factors of 1673?
2.Mention the prime factors of 1673.
3.Is 1673 a multiple of 4?
4.Mention the factor pairs of 1673?
5.What is the square of 1673?
Important Glossaries for Factors of 1673
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1673 are 1 and 1673.
- Prime factors: The factors which are prime numbers. For example, 1673 is a prime factor of itself.
- Prime number: A number greater than 1 with no divisors other than 1 and itself. 1673 is a prime number.
- 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 1673 is (1, 1673).
- Multiple: A multiple of a number is the product of that number and an integer.
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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
: She loves to read number jokes and games.
