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Last updated on May 26th, 2025

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Factors of 625

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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 625 for Australian Students
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What are the factors of 625?

With the help of the long division method, we can find out that 625 can be easily divided by 1, 5, 25, 125, and 625. 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 625

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 625 the pairs are.


1×625=625


5×125=625


25×25=625


Hence, we can conclude that the factors of 625 are 1, 5, 25, 125

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Finding factors by division method

In the division method, you need to divide the given number 625 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.


625÷1=625 (no remainder)


625÷5=125 (no remainder)


625÷25=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.


625÷5=125 (5 is a prime factor).


5 is a prime.


Therefore, prime factors of 625 is 5
 

Professor Greenline from BrightChamps

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 625.

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Factors of 625 Examples

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Problem 1

What is the smallest number that has exactly 3 factors?

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Explanation

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Problem 2

Is 22 a perfect square number?

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Explanation

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Problem 3

What are the factors of 72?

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Explanation

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FAQs on factors of 625

1. What are the prime factors of 18?

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2.How many factors does number 24 have?

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3.What is the difference between division and prime factor method?

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4. Is 5 a factor of 100?

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5. Is the divisor the same as factors?

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6.How can children in Australia use numbers in everyday life to understand Factors of 625?

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7.What are some fun ways kids in Australia can practice Factors of 625 with numbers?

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8.What role do numbers and Factors of 625 play in helping children in Australia develop problem-solving skills?

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9.How can families in Australia create number-rich environments to improve Factors of 625 skills?

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Professor Greenline from BrightChamps

Important glossaries for factors of 625

  • 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 Australia

At BrightChamps, numbers mean more than just digits—they open doors to a world of possibilities! We’re here to help children across Australia grasp essential math skills, focusing today on Factors of 625 with a special emphasis on factors—in a way that’s fun, engaging, and easy to follow. Whether your child is figuring out the speed of a roller coaster at Luna Park Sydney, keeping score at a local cricket match, or managing their allowance to buy gadgets, understanding numbers builds everyday confidence. Our hands-on lessons make learning enjoyable and straightforward. Since kids in Australia learn differently, we customize lessons to suit each child’s style. From Sydney’s vibrant streets to the beautiful Gold Coast beaches, BrightChamps brings math to life throughout Australia. Let’s make factors 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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