Factors of 5400

The factors of 5400 are the numbers that divide 5400 evenly.
The factors of 5400 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 108, 150, 180, 225, 300, 360, 450, 540, 600, 900, 1080, 1350, 1800, and 5400.
 

Positive factors: These are the positive counterparts of the factors.
Positive factors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 108, 150, 180, 225, 300, 360, 450, 540, 600, 900, 1080, 1350, 1800, 5400
 

Negative factors: These are the negative counterparts of the positive factors.
Negative factors: -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -18, -20, -25, -30, -36, -45, -50, -60, -75, -90, -100, -108, -150, -180, -225, -300, -360, -450, -540, -600, -900, -1080, -1350, -1800, -5400
 

Prime Factors: Prime factors are the prime numbers themselves, when multiplied together, give 5400 as the product.
Prime factors: 2, 3, 5
 

Prime Factorization: Prime factorization involves breaking 5400 into its prime factors.
It is expressed as 2² × 3³ × 5²
 

This breakdown helps in understanding the various factors of 5400, whether they are positive or negative, as well as how prime factorization works for this number.

There are different methods to find the factors of 5400.

Methods to find the factors of 5400:
Multiplication Method
Division Method
Prime Factor and Prime Factorization
Factor Tree
 

The multiplication method finds the pair of factors that give 5400 as their product.
 

Step 1: Find the pair of numbers whose product is 5400.
 

Step 2: The factors are those numbers, when multiplied, give 5400.
 

Step 3: Make a list of numbers whose product will be 5400.

A list of numbers whose products are 5400 is given below:

• 1 × 5400 = 5400
• 2 × 2700 = 5400
• 3 × 1800 = 5400
• 4 × 1350 = 5400
• 5 × 1080 = 5400
• 6 × 900 = 5400
• 8 × 675 = 5400
• 9 × 600 = 5400
• 10 × 540 = 5400
• 12 × 450 = 5400
• 15 × 360 = 5400
• 18 × 300 = 5400
• 20 × 270 = 5400
• 25 × 216 = 5400
• 30 × 180 = 5400
• 36 × 150 = 5400
• 45 × 120 = 5400
• 50 × 108 = 5400
• 60 × 90 = 5400
• 75 × 72 = 5400

Thus, the factors of 5400 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 72, 75, 90, 108, 120, 150, 180, 216, 270, 300, 360, 450, 540, 600, 675, 900, 1080, 1350, 1800, 5400.
 

The division method finds the numbers that fully divide the given number. The steps are given below:
 

Step 1: Since every number is divisible by 1, 1 will always be a factor. Example: 5400 ÷ 1 = 5400
 

Step 2: Move to the next integer. The factors of the number include the number that is used to divide and the number of times the particular number is divided.

Thus, the factors of 5400 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 72, 75, 90, 108, 120, 150, 180, 216, 270, 300, 360, 450, 540, 600, 675, 900, 1080, 1350, 1800, 5400.
 

Multiplying prime numbers to get the given number as their product is called prime factors. A number, when simplified using the factors of that number and expressed in the form of prime factors, is the prime factorization of a number.
 

Prime Factors of 5400:
Number 5400 has the following prime factors:
2, 3, 5
To find the prime factors of 5400, we can divide 5400 with the prime numbers like 2, 3, and 5 from the list of factors of 5400.
 

Step 1: Divide 5400 with the prime number 2
5400 ÷ 2 = 2700
 

Step 2: Divide 2700 with the prime number 2
2700 ÷ 2 = 1350
 

Step 3: Divide 1350 with the prime number 2
1350 ÷ 2 = 675
 

Step 4: Divide 675 with the prime number 3
675 ÷ 3 = 225
 

Step 5: Divide 225 with the prime number 3
225 ÷ 3 = 75
 

Step 6: Divide 75 with the prime number 3
75 ÷ 3 = 25
 

Step 7: Divide 25 with the prime number 5
25 ÷ 5 = 5
 

Step 8: Divide 5 with the prime number 5
5 ÷ 5 = 1
 

Prime Factorization of 5400: 2³ × 3³ × 5²
 

The prime factorization is visually represented using the factor tree. It helps to understand the process easily.
This tree shows the breakdown of 5400 into its prime factors: 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5.

In this factor tree, each branch splits into prime factors.

Positive and Negative Factor Pairs of 5400
 

Factors of 5400 can be written in both positive pairs and negative pairs. They are like team members. Their product will be equal to the number given.
 

Positive Factor Pairs: (1,5400), (2,2700), (3,1800), (4,1350), (5,1080), (6,900), (8,675), (9,600), (10,540), (12,450), (15,360), (18,300), (20,270), (25,216), (30,180), (36,150), (45,120), (50,108), (60,90), (72,75)
 

Negative Factor Pairs: (-1,-5400), (-2,-2700), (-3,-1800), (-4,-1350), (-5,-1080), (-6,-900), (-8,-675), (-9,-600), (-10,-540), (-12,-450), (-15,-360), (-18,-300), (-20,-270), (-25,-216), (-30,-180), (-36,-150), (-45,-120), (-50,-108), (-60,-90), (-72,-75)
 

• Factors: Numbers that divide another number completely without leaving a remainder.  
• Prime Factors: Prime numbers that multiply together to give the original number.  
   
• Prime Factorization: The process of breaking down a number into its prime factors.  
   
• Factor Tree: A diagram used to visually represent the prime factorization of a number. It shows the breakdown of a number into its prime factors.
   
• Co-prime: Two numbers are co-prime if their greatest common divisor (GCD) is 1.