Table Of Contents

Table of Contents

163 Learners

Last updated on December 4th, 2024

Factors of 625

Q: What are the prime factors of 18?

By using the prime factorization method, we can see that 18 has two prime factors, 2 and 3. This also proves that the number 18 is a composite number.

Q: How many factors does number 24 have?

When we use the division method on the number 24 we can see that the number has eight factors which include 1, 2, 3, 4, 6, 8, 12, and 24.

Q: What is the difference between division and prime factor method?

The division method is when you divide a number by certain integers to find the factors, and the prime factor is back to its prime components

Q: Is 5 a factor of 100?

Yes, when we use the prime factorization method on 100 we find out that the prime factors of 100 are 2 and 5, proving that 5 is indeed a factor of 100.

Q: Is the divisor the same as factors?

Yes, factors and divisors are just the same. Both are numbers that when divided by another give you a whole number with no remainder.

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

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.

Factors of 625 Examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

What is the smallest number that has exactly 3 factors?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Problem 2

Is 22 a perfect square number?

Explanation

Problem 3

What are the factors of 72?

Explanation

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?

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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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.