291 LearnersLast updated on August 5th, 2025
Factors of 375
In this topic, let's learn about factors. It is scarce to find numbers that will divide a given number up to the smallest unit without remainder. These numbers are known as the factors, and learning about factors happens when a student comes across a number or number pair in the real world.
What are the factors of 375?
With the help of the long division method, we can find out that 375 can be easily divided by 1, 3, 5, 15, 25, 75, 125, and 375. It is also worth remembering that numbers, having only 2 factors, are called prime numbers.
How to find the factors of 375
There are many methods which the students can use to find out the factors of a number. Some of the most used methods are given below.
- Multiplication method
- Division method
- Prime factors and prime factorization
- Factor tree
Finding factors using multiplication method
Multiplication method is quite an easy method where we find the pair of numbers which when multiplied with each other give the desired number. For 375 the pairs are.
1×375=375
3×125=375
5×75=375
15×25=375
Hence, we can conclude that the factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375.
Finding factors by division method
In the division method, you need to divide the given number 375 by every number starting from 1. If any number is able to divide it without leaving any reminder, then that number is considered as one of its factors.
375÷1=375 (no remainder)
375÷3=125 (no remainder)
375÷5=75 (no remainder)
375÷15=25 (no remainder)
Prime factors and prime factorization
Prime factorization is done by dividing the number by prime numbers to see which prime number is able to divide it, and if it does, then that number is considered as a prime number.
375÷3= 125 (3 is a prime factor).
5 is also prime.
Therefore, prime factors of 375 are 3 and 5
Factor tree
A factor tree is a form of number tree, which is a diagram which represents simple division, where the number at the top is divided until it reaches a prime number or cannot be further divided.
Common mistakes and how to avoid them in factors of 375.
It is quite normal for students to commit a few mistakes while trying to find out the factors of a number. Below are a few such mistakes and how to avoid them.
Mistake 1
Ignoring 1 and the number itself as factors.
1 and the number itself are always considered as factors since they can divide the number, leaving no reminder. Hence, students should not exclude them while listing a number of factors.
Mistake 2
Misidentification of prime and composite numbers.
At times, kids may consider a composite number as a prime number and stop the division, or may include a composite number in prime factorization. To avoid this, they must always remember to divide each small number into its smallest form if possible.
Factors of 375 Examples
Problem 1
What is the least common multiple (LCM) of 6 and 10?
30
Explanation
Find the prime factorization of 6: 2×3.
Find the prime factorization of 10: 2×5.
LCM: Take the highest power of each prime:
By taking the highest power of each number and multiplying them together gives us 2×3×5= 30.
Problem 2
What is the highest factor of a number?
The highest factor of any number is the number itself.
Explanation
For any number n:
n÷n= 1 (no remainder)
Thus, n is always divisible by itself.
Problem 3
Write the factors of 72 using prime factorization.
23×32
Explanation
Divide 72 by the smallest prime 2:
72÷2=36, 36÷2=18, 18÷2=9
Move to the next prime 3:
9÷3=3, 3÷3=1.
Therefore, the factors of 72 are 23 and 32.
FAQs on factors of 375
1.What is the smallest factor of 375 other than 1?
2.What are the prime factors of 45?
3.Is 375 a prime number?
4.How many factors do prime numbers have?
5.Is 15 a factor of 225?
6.How can children in Saudi Arabia use numbers in everyday life to understand Factors of 375?
7.What are some fun ways kids in Saudi Arabia can practice Factors of 375 with numbers?
8.What role do numbers and Factors of 375 play in helping children in Saudi Arabia develop problem-solving skills?
9.How can families in Saudi Arabia create number-rich environments to improve Factors of 375 skills?
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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.
