173 LearnersLast updated on May 26th, 2025
Factors of 625
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 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.
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
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
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)
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
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 625.
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.
Factors of 625 Examples
Problem 1
What is the smallest number that has exactly 3 factors?
The smallest number with exactly 3 factors is 4.
Explanation
Prime factorization of 4: 22
Number of factors: (2+1) = 3
Factors of 4: 1, 2, 4
Problem 2
Is 22 a perfect square number?
No, 22 is not a perfect square.
Explanation
√22 ≈ 4.69
4.69 is not an integer.
Problem 3
What are the factors of 72?
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, and 36.
Explanation
72 ÷ 1 = 72
72 ÷ 2 = 36
72 ÷ 3 = 24
72 ÷ 4 = 18
72 ÷ 6 = 12
72 ÷ 8 = 9
72 ÷ 9 = 8
72 ÷ 12 = 6
72 ÷ 18 = 4
72 ÷ 24 = 3
72 ÷ 36 = 2
72 ÷ 72 = 1
FAQs on factors of 625
1. What are the prime factors of 18?
2.How many factors does number 24 have?
3.What is the difference between division and prime factor method?
4. Is 5 a factor of 100?
5. Is the divisor the same as factors?
6.How can children in Qatar use numbers in everyday life to understand Factors of 625?
7.What are some fun ways kids in Qatar can practice Factors of 625 with numbers?
8.What role do numbers and Factors of 625 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 625 skills?
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 Qatar
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.
