Factors of 54

Factors of 54 are those numbers that can divide 54 perfectly. The factors of 54 are:

1,2,3,6,9,18,27, and 54.

Negative factors of 54: -1, -2, -3 -6, -9, -18, -27, -54

Prime factors of 54: 2,3

Prime factorization of 54: 3³×2

The sum of factors of 54: 1+2+3+6+9+18+27+54= 120
 

For finding factors of 54, we will be learning these below-mentioned methods:

• Multiplication Method

• Division Method

• Prime Factor and Prime Factorization

• Factor Tree

This particular method often finds the pair of factors which, on multiplication together, produces 54. Let us find the pairs which, on multiplication, yields 54.

1×54=54

2×27=54

3×18=54

6×9=54

From this, we conclude that, factors of 54 are:1,2,3,6,9,18,27, and 54.
 

The division method finds the numbers that evenly divides the given number 54. To find the factors of 54, we have to divide 54 by all possible natural numbers less than 54 and check.

1,2,3,6,9,18,27, 54 are the only factors that the number 54 has. So to verify the factors of 54 using the division method, we just need to divide 54 by each factor.

54/1 =54

54/2 =27

54/3=18

54/6=9

54/9=6

54/18=3

54/27=2

54/54=1

Prime Factorization is the easiest process to find prime factors. It decomposes 54 into a product of its prime integers.

Prime Factors of 54: 2,3.

Prime Factorization of 54: 3×3×3×2 = 3³×2
 

The number 54 is written on top and two branches are extended.

Fill in those branches with a factor pair of the number above, i.e., 54.

Continue this process until each branch ends with a prime factor (number).

The first two branches of the factor tree of 54 are 2 and 27, then proceeding to 27, we get 3 and 9. Similarly, for 9: 3 and 3
    

Factor Pairs:

Positive pair factors:   (1,54), (2,27), (3,18), (6,9)

Negative pair factors: (-1,-54), (-2,-27), (-3,-18), (-6,-9).

• Ratio - Ratio of two numbers compares between them, how many times one number contains the other number. It is expressed as m:n, where m and n are two positive numbers whose ratio is to be shown.

• Factors - These are numbers that divide the given number without leaving any remainder or the remainder as 0.

• Prime Factorization - It involves factoring the number into its prime factors.

• Prime factors - These are the prime numbers which on multiplication together results into the original number whose prime factors are to be obtained.

• Composite numbers - These are numbers having more than two factors.

• Multiple - It is a product of the given number and any other integer.