# Factors of 75 | Top Q&A

The 75 . factor are numbers that produce 75 when two numbers are multiplied. The factors of the pair 75 are integers that can be positive or negative but not decimal or decimal. To find the factor of a number, 75, we will use the division method and the factorial method. In the factor analysis method, you first consider two numbers 1 and 75 and then continue to find the remaining pair of numbers that will give the result 75. To better understand this method, please read the article below to find the factor of 75 in the pair. Also, prime factors of 75 with the help of division method are discussed here.Table of contents:

• What are the factors of 75?
• Pair factor of 75
• How to find prime factor of 75?
• Prime factor of 75
• Examples

## What are the factors of 75?

Factories of 75 are numbers that are multiplied in pairs to produce the original 75. In other words, factors of 75 are numbers that divide by 75 exactly without leaving a remainder. Since the number 75 is a composite number, it has many factors other than one and the number itself. Thus, the factors of 75 are 1, 3, 5, 15, 25, and 75.

## Pair factor of 75

To find the factors of the pair, multiply the two numbers in a pair to get the original number 75, which looks like this: If 1 × 75 = 75, then (1, 75) is a factor of 75. We found another pair. 3 × 25 = 75, (3, 25) is a 755 × 15 = 75 pair, (5, 15) is a 7525 × 3 = 75 pair, (25, 3) is a pair factor of 7515 × 5 = 75, (15, 5) is the pair coefficient 75 Here, (3, 25) is the same as (25, 3) and (5, 15) is the same as (15, 5) Therefore, the pair of positive factors of 75 is (1 , 75), (3, 25) and (5, 15). (-1, – 75) is the pair factor 75-3 × -25 = 75, (-3, -25) is the pair factor 75-5 × -15 = 75, (-5, -15) is the coefficient. pair 75-25 × -3 = 75, (-25, -3) is pair factor 75-15 × -5 = 75, (-15, -5) is pair factor 75 Here, (- 3, – 25) is the same as (-25, -3) and (-5, -15) is the same as (-15, -5) So the pair of negative coefficients of 75 is (-1, -75 ), (-3, -25) and (-5, – 15).

## How to calculate prime factor of 75?

Learn the following steps to calculate the factors of a number.

• First, write the number 75
• Find two numbers that result in 75 under multiplication, such as 3 and 25, such as 3 × 25 = 75.
• We know that 3 is a prime with only two factors, i.e. 1 and the number itself (1 and 3). Therefore, it cannot be analyzed further.
• 3 = 3 × 1
• But look at the number 25, it is a composite number but not a prime number. So it can be analyzed further.
• 25 = 5 × 5 × 1
• Therefore, the factor of 75 is written as, 75 = 3 × 5 × 5 × 1
• Finally, write down all the unique numbers (ie) 3 × 5 × 5 × 1.

### Prime factor of 75

The number 75 is a composite number and it must have prime factors. Now tell us how to calculate prime factors.

• The first step is to divide 75 by the smallest prime factor, say 2. If we divide 75/2, we get a fractional value, and thus continue with the next prime factor. , (ie) 3.
• 75 3 = 25
• Now, if we divide 25 by 3, we get a fraction, which cannot be a factor.
• So now let’s continue with the next primes i.e

25 ÷ 5 = 5 5 ÷ 5 = 1 Finally, we get the number 1 at the end of the division. So we couldn’t go any further. So the prime factors of 75 are written as 3 × 5 × 5 or 3 × 52where 3 and 5 are prime numbers.

### Examples

Example 1:Find the common factor of 75 and 73.Solution:The factors of 75 are 1, 3, 5, 15, 25 and 75, the factors of 73 are 1 and 73 So the common factor of 75 and 73 is 1.Example 2:Find the common factor of 75 and 76.Solution:Factor 75 = 1, 3, 5, 15, 25 and 75, factor 76 = 1, 2, 4, 19, 38 and 76 Therefore, the common factor of 75 and 76 is 1.Example 3:Find the common factor of 75 and 150.Solution:The coefficients of 75 are 1, 3, 5, 15, 25, and 75, the coefficients of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, and 150. common to 75 and 150 are 1, 3, 5, 15, 25 and 75. Follow BYJU’S for more factors and prime factors of other numbers, and download BYJU’S – Learning App to get better experience and better understanding.