Factors of 25 are 1, 5, and 25. Factors are the numbers that divide the original number without leaving any remainder i.e., remainder = 0. For any number, there are two factors always i.e., 1 and number itself. If any number has more than two factors then that number is composite otherwise it is a prime number. Every number can be written as the production of prime numbers, this process of finding all prime factors of a number is called prime factorization.

In this article, we will discuss all things about “Factors of 25” including its list of factors, factor tree, prime factors, etc. This article will help you answer the question “What are the factors of 25?”, “how many factors are there for 25?”, etc.

Factor Definition

Factor are the numbers that divide the original number evenly without leaving a remainder. When two numbers multiply together to give the original number as the answer then those two numbers are also called factors of the number.

Example: We take the numbers 6, now 2 and 3 are the factors of 6 which means when we multiply these two numbers together they will give the answer 6 i.e., (2 × 3 = 6) So, here 2 and 3 are factors (or product) of 6.

Learn, Factors of a Number

What are Factors of 25?

As a factor is considered to be the number that divides the original no without leaving any remainder. Therefore, in the case of 25; 1, 5, and 25 are factors of 25 because these three numbers divide the number 25 evenly.

Note: Every number always has two factors in common i.e. 1 and the number itself because no matter what the no. is these two numbers always divide the original number completely without leaving any remainder.

All Factors of 25

Factors of 25 are 1, 5 and 25.

As 1, 5 and 25 divides the number 25 without leaving any remainder, thus 1, 5 and 25 are all the factors of number 25. Also,

• 1 × 25 = 25
• 5 × 5 = 25

Prime Factors of 25

A prime number is a number greater than 1 and is divisible by only 1 or the number itself. As we know 25 has three factors which are 1, 5, and 25 and from this, we can conclude that 5 is the only prime factor of 25 because it is the only prime no that divides 25 completely without leaving any remainder.

How to Find Factors of 25?

To find the factors of 25 we can use the following steps:

Step 1: Start with the 25.

Step 2: Find the smallest prime number that divides the given number evenly i.e., 5.

Step 3: Divide 25 by 5 as many times as possible while still getting a whole number.

Step 4: Repeat this process with the quotient until you reach 1.

Prime Factorization of 25

Prime factorization is the method of factoring the number using prime numbers.

To do the prime factorization we start dividing the number from the smallest prime number which is 2 if the no. is not divisible by that no then we move to the next prime number and do this process in continuation till the original no. divides completely or further division is not possible.

Prime Factorization of 25 is given as follows:

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Factor Tree of 25

A factor tree is a visually represention of the process to break down the number into factors of that number, it also provide as the pair of number that can be multiplied together to given the original number.

Here is the diagram for factor tree of 25,

Factor Pair of 25

Factor pair refers to the pair of integers that when multiplied together gives the original number as answer. There are various factors pairs of 25 such as (5, 5), (-1, -25), (1, 25), and (-5, -5).

Factor pair can be positive and negative as well.

Positive Factor Pair of 25

Positive factor pair of 25 are:

Negative Factor Pair of 25

Negative factor pair of 25 are:

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• Factors of 36

Factors of 25 Frequently Asked Questions

What is Prime Factors of 25?

5 is the only prime factor of 25.

What is Common Factors of 25 and 75?

• Factors of 25 are 1, 5, 25.
• Factors of 75 are 1, 3, 5, 15, 25, and 75.

Common Factor of 25 and 75 are 1,5, and 25

What is Sum of the Least and Highest Factor of 25 other than 1 and itself?

25 has only three factors from which if we remove 1 and 25 then we have 5 left only as the factor of 25. So the answer is 5.

Is 4 a Factor of 25?

No, 4 is not a factor of 25.

Write Common Factors of 25 and 35.

Common factor of 25 and 35 are “1 and 5”.

What is Greatest Common Factor of 20, 50 and 100?

The greatest common factor of 20, 50, and 100 is 10.