# Factors of 25 | Pair factors and prime factorization of 25 (2023)

ÖFactor 25can be defined as the list of integers divisible by 25. In other words, numbers that are completely divisible by 25 with no remainder are called factors of 25. In this article, we will discuss the factors of 25, the primary factorization and the factorial tree of 25, along with some working examples and FAQs on factors of 25.

## What are the factors of 25?

Factors of 25 can be defined as the numbers that are fully divisible by the number 25, or you can define them as two numbers when multiplied together giving the result of 25. Factors of 25 can be listed as 1, 5, and 25. The prime factor of 25 is 5 x 5=25. The factor 25 consists of pairs of two factors, a positive (1, 5 and 25) and a negative pair (-1, -5 and -25).

## How do you find factors of 25?

Factors of 25 are a list of integers that are evenly divisible by 25. Therefore, factors of 25 cannot be decimal or fractional. All factors of 25 can be calculated using either the multiplication or repeated addition method. Steps to calculate factors of 25 using either method are given below.

### How do I find factors of 25 using the multiplication method?

The steps to find factors of 25 using the multiplication method are given below:

• Step 1:We can calculate the factors of 25 using the multiplication method. For this method, we check which pairs of numbers can be multiplied together to get the result 25. So to do this, we need to multiply the number 25 by a series of natural numbers from 1 to 9. The numbers that divide completely by 25 with no remainder are the factors of 25.
• Step 2:We know that multiples of 25 are those numbers that are completely divisible by 25. Now let's make a list of these numbers and their pairs. For example, 1 x 24 = 25, so (1, 25) is the first pair, and 5 x 5 = 25, so (5, 5) is the second pair, and since 5 is a prime number, it cannot be divided further.

So the factors of 25 are 1, 5, and 25.

### How do I find factors of 25 using the division method?

Steps to find factors of 25 using division method are given below:

(Video) Factors of 25 | Factor tree of 25 | Prime factorization of 25 @mathstubelearning123

• Step 1: A number is a factor of itself, and 1 is the factor of all natural numbers. So 1 and 25 are factors of 25.
• Step 2:Now let's divide 25 by a series of integers starting from 1 to 9 and dividing the number leaving 0 as the remainder are the multiples of 25. The table is given below:

So the factors of 25 are 1, 5, and 25.

## Calculating the prime factors of 25 by prime factorization

Prime factorization can be defined as the expression of a composite number as the product of its prime factors. Now to find the prime factorization of 25, we need to divide it by its smallest prime factor that is divisible by 25.

• The smallest prime number divisible by 25 is 5.
• 25 ÷ 5 = 5.
• Now we divide 5 by the smallest prime factor and continue until we get 1 as the quotient.
• If we divide the number 25 by 25, we get 5 as the quotient.
• If you divide the number 5 by the smallest prime number that can be divided by 5, you get 5.
• So the quotient is 1 here.
• So the prime factors of 25 are 5.

### 25 factor tree

The steps to find factor 25 tree have been explained below:

• Step 1:Place the number 25 at the top of the factor tree.
• Step 2:Now write the pair of factors 25, which multiplied by the number 25 gives the answer. Here we choose 5.5 as an even factor.
• Level 3:Since 5 is a prime number, it cannot be divided.

Hence the prime factors of 25 in the factor tree are 5.

(Video) Factor Tree of 25|Prime Factorization of 25

## Examples solved in factors of 25

Q 1: What are the factors of 25?
A1:
1, 5, and 25 are the divisors of 25 because these numbers are fully divisible by 25.

Q 2: Find the common divisors of 24 and 25.
A 2:
The divisors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.
The factors of 25 are 1, 5, and 25.
So the common divisor of 24 and 25 is 1.

Q 3: What is the sum of all factors of 25?
A 3:
The factors of 25 are 1, 5, and 25.
The sum of the factors of 25 can be calculated as follows: 1 + 5 + 25 = 30.
Therefore, the sum of all factors of 25 is 30.

Q 4: What are the factors of 25 in pairs?
A 4:
There are two pairs of factors of 25, one positive and one negative.
Positives Pair – (1, 5, 25).
Negative pair- (-1, -5 and -25).

(Video) Prime factors of 25

Q 5: Find the common divisors of 25 and 30.
A 5:
The factors of 25 are 1, 5, and 25.
The divisors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.
So the common divisors of 25 and 30 are 1 and 5.

Find the prime factors of 25.
To find the prime factor of 25, we need to divide it by its smallest prime factor, which is 5.
25 ÷ 5 = 5
Now we divide 5 by the smallest prime factor and continue until we get 1 as the quotient. Since 5 is a prime number, it cannot be divided.
So 5 is the prime factor of 25.

What are the common divisors of 25 and 75?
The factors of 25 are 1, 5, and 25.
The factors of 75 are 1, 3, 5, 15, 25, and 75.
Common divisors of 30 and 75 are 1, 5, and 25.

What are the divisors and prime factors of 25?
The divisors of 25 are 1, 5, and 25 because these numbers are fully divisible by 25.
The prime factor of 25 is 5 because 5 is prime and cannot be divided.

(Video) Prime Factorization | Math with Mr. J

Find the common divisors of 30 and 36.
The factors of 25 are 1, 5, and 25.
The divisors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.
Therefore, the common divisors of 30 and 36 are 1.

Find the common divisors of 30 and 100.
The factors of 25 are 1, 5, and 25.
The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100.
So the common divisors of 30 and 100 are 1, 5, and 25.

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