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Last updated on May 26th, 2025

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Factors of 375

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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.

Factors of 375 for UAE Students
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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.
 

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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
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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.

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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)
 

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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
 

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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.
 

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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

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Ignoring 1 and the number itself as factors.
 

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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.
 

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Factors of 375 Examples

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Problem 1

What is the least common multiple (LCM) of 6 and 10?

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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.
 

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Problem 2

What is the highest factor of a number?

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 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.
 

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Problem 3

Write the factors of 72 using prime factorization.

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 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.
 

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FAQs on factors of 375

1.What is the smallest factor of 375 other than 1?

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2.What are the prime factors of 45?

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3.Is 375 a prime number?

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4.How many factors do prime numbers have?

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5.Is 15 a factor of 225?

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6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 375?

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7.What are some fun ways kids in United Arab Emirates can practice Factors of 375 with numbers?

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8.What role do numbers and Factors of 375 play in helping children in United Arab Emirates develop problem-solving skills?

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9.How can families in United Arab Emirates create number-rich environments to improve Factors of 375 skills?

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Important glossaries for factors of 375

  • Divisor: Any integer that can be divided, with no remainder, by some other integer, is a divisor.

 

  • Prime Factorization: Writing a number as the product of its own prime factors.

 

  • Factor Pair: Multiplication of two factors to get a product.
     
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About BrightChamps in United Arab Emirates

At BrightChamps, numbers are more than just symbols—they open up a world of chances! We’re dedicated to helping children throughout the UAE build strong math skills, focusing today on Factors of 375 with an emphasis on factors—in a way that’s fun, clear, and engaging. Whether your child is figuring out the speed of a ride at Dubai Parks and Resorts, keeping track of local football scores, or managing their allowance for gadgets, mastering numbers builds everyday confidence. Our interactive lessons make learning straightforward and fun. Because kids in the UAE have different learning styles, we tailor our teaching to each child. From Dubai’s towering skyscrapers to Abu Dhabi’s cultural heritage, BrightChamps brings math to life across the UAE. Let’s turn factors into an exciting part of every child’s math journey!
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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.

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Fun Fact

: She loves to read number jokes and games.

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