189 LearnersLast updated on May 26th, 2025
Factors Of 175
In mathematics, there are lots of numbers that when divided by other numbers leave no remainder, these numbers are called factors. We use it in our vehicles mileage and money handling. Now, we’ll learn what factors are and factors of 175 let us now see.
Factors Of 175
We can tell if a number has more than 2 factors just by seeing if a number is a prime number or not. As none of the even numbers except 2 are prime numbers, we can tell that 175 has more than 2 factors. Let us find what the factors are.
Negative factors of 175: -1, -5, -7, -25, -35 and -175.
Prime factors of 175: The prime factors of 175 are 5 and 7.
Prime factorization of 175: 5×5×7
The sum of factors of 175: 1+5+7+25+35+175= 248.
How to find the factors of 175
Children use multiple ways to find factors of a number. Let us look at some ways we can use to find the factors of 175.
- Multiplication Method
- Division Method
- Prime Factor and Prime Factorization
Finding The Factors Of 175 Using Multiplication
In the multiplication method, we find pairs of numbers where the product will be 169. In this process, possible steps will be -
Step 1: Find all those numbers whose product will be 175.
Step 2: These numbers will be called the factors of 175.
Step 3: Students have to write these pairs of numbers for this method.
List of numbers whose product is 175
175×1= 175
35×5= 175
25×7= 175
So the pair of numbers whose product is 175 are (1,175), (5,35) and (25,7).
Finding Factors Using Division Method
For the division method, the process of division will go on until the remainder becomes zero.
Step 1: For the division method, always try the smallest number to start with. It is advisable to start dividing the number by 1, then both the number and 1 will be its factors. Example: 175÷1 = 175.
Step 2: Then check with the next number to see whether the number is divided completely without any remainder. Both divisor and quotient are the factors. Example: 175÷5= 35 and so on.
Prime Factorization And Prime Factors
Prime factorization is the process where the number will be a product of prime factors or prime numbers.
Prime Factors Of 175:The prime factors of 175 are 5 and 7. We find the prime factors of 175 by two ways.
Prime Factorization: Prime Factorization: Here we will divide the numbers by the smallest prime number. Till we completely divide the given number. For 175, the steps are like this:
175/5= 35
35/5= 7
7/7= 1
As 7 is a prime number, it is only divisible by 7. Hence, The prime factorization of the number 175 is 5×5×7.
Factor Tree
This is a very easy method because in many ways it’s almost the same as a prime factorization. We will break down huge numbers in this case to get what we call a factor tree.
Step 1: 175 divided by 5 gives us the answer being 35.
Step 2: 35 divided by 5 gives us 7.
Step 4: This we can’t divide further.
Factor Pairs
There are positive and negative factor pairs for a given number. Let us look at these factor pairs.
Positive Factor Pairs: (1,175), (5,35) and (25,7).
Negative Factor Pairs: (-1,-175), (-5,-35) and (-25,-7).
Common mistakes and how to avoid them in the factors of 175
It is very normal to make mistakes when learning to find the factors. Here are the commonly made mistakes by children. Avoid these when practicing!
Mistake 1
Assuming 175 is prime,
One may wrongly assume that the number 175 is prime and stop looking for factors.
Factors Of 175 Examples
Problem 1
A factory produces 175 toys each day. How many toys will the factory produce in 7 days?
The factory will produce 1,225 toys in 7 days.
Explanation
If you make 175 toys each day for 7 days, you will make a total of 1,225 toys. That's a lot of toys!
Problem 2
A gardener needs to plant rows of flowers. If each row has 175 flowers, how many flowers are there in 5 rows?
There are 875 flowers in 5 rows.
Explanation
There are 175 flowers in each row. If there are 5 rows, you multiply 175 by 5 to get 875 flowers in total.
Problem 3
A school buys 175 books for each of its 10 classrooms. How many books are there in total?
The school buys 1,750 books in total.
Explanation
If there are 175 books in each classroom and 10 classrooms, you multiply 175 by 10 to get 1,750 books in total
Problem 4
A box contains 175 candies. If 7 people share the candies equally, how many candies will each person receive?
Each person will receive 25 candies.
Explanation
If we share 175 candies with 7 people, each person gets 25 candies. We divide the candies equally by using simple division.
Problem 5
A factory worker assembles 175 items each day. How many items will they assemble in 20 days?
The worker will assemble 3,500 items in 20 days.
Explanation
If you have 175 items and you repeat it for 20 days, the total number of items will be 3,500. That's a lot.
FAQs on Factors of 175
1. Is 175 a prime number?
2.How do you factor 175 into its prime factors?
3.Is 175 a composite number?
4.What common factor is shared by 175 and 100?
5.How can children in Oman use numbers in everyday life to understand Factors Of 175?
6.What are some fun ways kids in Oman can practice Factors Of 175 with numbers?
7.What role do numbers and Factors Of 175 play in helping children in Oman develop problem-solving skills?
8.How can families in Oman create number-rich environments to improve Factors Of 175 skills?
Important Glossaries for Factors of 175
- Factors: Numbers that divide a given number exactly, without leaving a remainder. Example: Factors of 175 are 1, 5, 7, 25, 35, and 175.
- Prime Factorization: The process of expressing a number as a product of its prime factors. Example: The prime factorization of 175 is 5² × 7.
- Square Root: The number that, when multiplied by itself, equals the original number. Example: The square root of 175 is approximately 13.23, but is not a factor as it's not a whole number.
- Greatest Common Factor (GCF): The largest factor that two numbers share. Example: The GCF of 175 and 100 is 25.
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About BrightChamps in Oman
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.
