138 LearnersLast updated on May 26th, 2025
Factors of 173250
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 173250, how they are used in real life, and tips to learn them quickly.
What are the Factors of 173250?
The numbers that divide 173250 evenly are known as factors of 173250. A factor of 173250 is a number that divides the number without remainder. The factors of 173250 include 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 250, 450, 750, 1125, 1150, 2250, 4500, 3450, 5175, 8625, 10350, 17250, 34500, 51750, 86250, and 173250.
Negative factors of 173250: -1, -2, -3, -5, -6, -9, -10, -15, -18, -25, -30, -45, -50, -75, -90, -150, -225, -250, -450, -750, -1125, -1150, -2250, -4500, -3450, -5175, -8625, -10350, -17250, -34500, -51750, -86250, and -173250.
Prime factors of 173250: 2, 3, and 5.
Prime factorization of 173250: 2 × 3² × 5⁴ × 23.
The sum of factors of 173250: (sum calculation omitted for brevity).
How to Find Factors of 173250?
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 173250. Identifying the numbers which are multiplied to get the number 173250 is the multiplication method.
Step 1: Multiply 173250 by 1, 173250 × 1 = 173250.
Step 2: Check for other numbers that give 173250 after multiplying
2 × 86625 = 173250
3 × 57750 = 173250
5 × 34650 = 173250
6 × 28875 = 173250 ... (continue with other factor pairs)
Therefore, the positive factor pairs of 173250 include: (1, 173250), (2, 86625), (3, 57750), (5, 34650), (6, 28875), etc. 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 173250 by 1, 173250 ÷ 1 = 173250.
Step 2: Continue dividing 173250 by the numbers until the remainder becomes 0.
173250 ÷ 1 = 173250
173250 ÷ 2 = 86625
173250 ÷ 3 = 57750
173250 ÷ 5 = 34650
173250 ÷ 6 = 28875 ... (continue with other whole number division results)
Therefore, the factors of 173250 include: 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 250, 450, 750, 1125, 1150, 2250, 4500, 3450, 5175, 8625, 10350, 17250, 34500, 51750, 86250, and 173250.
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 173250 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
173250 ÷ 2 = 86625
86625 ÷ 3 = 28875
28875 ÷ 3 = 9625
9625 ÷ 5 = 1925
1925 ÷ 5 = 385
385 ÷ 5 = 77
77 ÷ 7 = 11
11 ÷ 11 = 1
The prime factors of 173250 are 2, 3, and 5. The prime factorization of 173250 is: 2 × 3² × 5⁴ × 23.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 173250 is divided by 2 to get 86625.
Step 2: Now divide 86625 by 3 to get 28875.
Step 3: Then divide 28875 by 3 to get 9625.
Step 4: Divide 9625 by 5 to get 1925.
Step 5: Divide 1925 by 5 to get 385.
Step 6: Divide 385 by 5 to get 77.
Step 7: Divide 77 by 7 to get 11.
Step 8: Divide 11 by 11 to get 1. Here, the numbers 2, 3, 5, and 11 are the smallest prime numbers involved in the factor tree. So, the prime factorization of 173250 is: 2 × 3² × 5⁴ × 23.
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 173250 include: (1, 173250), (2, 86625), (3, 57750), (5, 34650), (6, 28875), etc.
- Negative factor pairs of 173250 include: (-1, -173250), (-2, -86625), (-3, -57750), (-5, -34650), (-6, -28875), etc.
Common Mistakes and How to Avoid Them in Factors of 173250
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 include 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 173250, 1 and 173250 are also factors.
Factors of 173250 Examples
Problem 1
There are 25 students and 173250 candies. How will they divide them equally?
They will get 6930 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of students.
173250/25 = 6930
Problem 2
A field is rectangular, the length of the field is 75 meters and the total area is 173250 square meters. Find the width?
2310 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
173250 = 75 × width
To find the value of the width, we need to shift 75 to the left side.
173250/75 = width
Width = 2310.
Problem 3
There are 150 bags and 173250 marbles. How many marbles will be in each bag?
Each bag will have 1155 marbles.
Explanation
To find the marbles in each bag, divide the total marbles by the bags.
173250/150 = 1155
Problem 4
In a class, there are 173250 students, and 1150 groups. How many students are there in each group?
There are 150 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
173250/1150 = 150
Problem 5
173250 books need to be arranged in 3450 shelves. How many books will go on each shelf?
Each of the shelves has 50 books.
Explanation
Divide total books by shelves.
173250/3450 = 50
FAQs on Factors of 173250
1.What are the factors of 173250?
2.Mention the prime factors of 173250.
3.Is 173250 a multiple of 25?
4.Mention the factor pairs of 173250?
5.What is the square of 173250?
6.How can children in Singapore use numbers in everyday life to understand Factors of 173250?
7.What are some fun ways kids in Singapore can practice Factors of 173250 with numbers?
8.What role do numbers and Factors of 173250 play in helping children in Singapore develop problem-solving skills?
9.How can families in Singapore create number-rich environments to improve Factors of 173250 skills?
Important Glossaries for Factor of 173250
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 173250 are 1, 2, 3, 5, 6, etc.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 5 are prime factors of 173250.
- 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 173250 are (1, 173250), (2, 86625), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 173250 is 2 × 3² × 5⁴ × 23.
- Multiples: A multiple of a number is the product of that number and an integer. For example, 173250 is a multiple of 25.
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About BrightChamps in Singapore
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.
