142 LearnersLast updated on May 26th, 2025
Factors of 173
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 173, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 173?
The numbers that divide 173 evenly are known as factors of 173. A factor of 173 is a number that divides the number without remainder. The factors of 173 are 1 and 173.
Negative factors of 173: -1 and -173.
Prime factors of 173: 173 (since 173 is a prime number).
Prime factorization of 173: 173.
The sum of factors of 173: 1 + 173 = 174
How to Find Factors of 173?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using 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 173. Since 173 is a prime number, the only multiplication pair is 1 and 173 itself.
Step 1: Multiply 173 by 1, 173 × 1 = 173.
Therefore, the positive factor pair of 173 is (1, 173). 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 in whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 173 by 1, 173 ÷ 1 = 173.
Step 2: Continue dividing 173 by the numbers until the remainder becomes 0.
173 ÷ 1 = 173
173 ÷ 173 = 1
Therefore, the factors of 173 are: 1 and 173.
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 173 is a prime number, it cannot be broken down further into other prime factors. The prime factorization of 173 is: 173.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. However, since 173 is a prime number itself, it does not have further factorization through a factor tree. So, the prime factorization of 173 is: 173.
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 pair of 173: (1, 173).
- Negative factor pair of 173: (-1, -173).
Common Mistakes and How to Avoid Them in Factors of 173
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 173, 1 and 173 are also factors.
Mistake 2
Missing Negative Factors
We tend to mention only positive factors every time. There are also negative factors, always check whether you have mentioned negative factors. For example, the factors of 173 consist of -1 and -173.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor. For example, thinking 1.5 as a factor, because 173/1.5 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 173 are prime numbers. For example, 173 is a prime factor of itself, but it also includes 1.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors. For example, not recognizing 173 as a prime number and attempting unnecessary factorization.
Factors of 173 Examples
Problem 1
A company has 173 employees and wants to form teams such that each team has the same number of employees with no remainder. How many employees can each team have if only one team is allowed?
Each team can have all 173 employees.
Explanation
Since 173 is a prime number, the only way to form one team with no remainder is to include all 173 employees in one team.
Problem 2
A museum has 173 paintings and wants to arrange them in rows with an equal number of paintings in each row and no leftovers. How can they do this if only one row is allowed?
All 173 paintings can be placed in one row.
Explanation
To arrange the paintings without leftovers, 173, being a prime number, means all paintings must be in one row.
Problem 3
A book club has 173 books and wants to distribute them evenly among its members with no books remaining. How many members can there be if only one member is allowed?
There can be one member who gets all 173 books.
Explanation
Since 173 is prime, distributing books evenly with no remainder means only one member can receive all 173 books.
Problem 4
A classroom has 173 desks and wants to group them so each group has the same number of desks. If only one group is possible, how many desks are in it?
The group will have all 173 desks.
Explanation
Due to 173 being a prime number, forming just one group means including all 173 desks.
Problem 5
A farmer has 173 apples and wants to pack them into baskets such that each basket has the same number of apples and no apples are left over. If only one basket is allowed, what is the outcome?
The basket will contain all 173 apples.
Explanation
Because 173 is a prime number, the only way to pack apples evenly with one basket is to put all 173 apples in it.
FAQs on Factors of 173
1.What are the factors of 173?
2.Mention the prime factors of 173.
3.Is 173 a multiple of 1?
4.Mention the factor pair of 173?
5.What is the square of 173?
Important Glossaries for Factors of 173
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 173 are 1 and 173.
- Prime factors: The factors which are prime numbers. For example, 173 is a prime factor of itself.
- 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 173 is (1, 173).
- Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 173 is a prime number.
- Multiples: The result of multiplying a number by an integer. For example, 173 is a multiple of 1.
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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.
