Factors Of 54 – Find Prime Factorization

Factors of 54

Factors Of 54

The factors of 54 can be divided completely or equally by 54. It is called a pair factor when the 54 is produced by multiplying two factors. Each factor divides the number equally. 

There can be no fraction for these factors.

Factors of 54:

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

Consequently, the whole numbers in the number 54 that are not fractions or decimals are called factor pairs. We will use the factorization method to determine the factors of 54.

Factors have the following properties:

  • Factors are the exact divisors of any number
  • 1 is the factor of every number.
  • There must always be a factor less than or equal to the number itself
  • One of the greatest factors of a number is the number itself.

What are the Factors of 54?

In addition, factors can divide an original number completely.

Factors of 54

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

Factors of 54

What are the Factors of-54?

In Addition, We can get -54 by having (-1, 54), (-2, 27), (-3, 18), and (-6, 9) as a pair of factors. Similarly, we can also get -54 by having (1, -54), (2, -27), (3, -18), and (6, -9) as a pair of factors.

How to Calculate Factors of 54?

Moreover, if we want to find the factors of 54, we have to divide 54 by all natural numbers between 1 and 54. 

  • 54 ÷ 1 = 54
  • 54 ÷ 2 = 27
  • 54 ÷ 3 = 18
  • 54 ÷ 6 = 9

Prime Factors of 54 By Division Method

It must have prime factors since 54 is a composite number. In the following section, we will see how to determine prime factors of 54.

  • We start by dividing 54 by the smallest prime factor, say 2.

           54 ÷ 2 = 27

  • In this case, dividing 54 by 3 will result in a fractional number, which cannot be a factor, and you must move on to the next prime factor, say 3.

           27 ÷ 3 = 9

           9 ÷ 3 = 3

           3 ÷ 3 = 1

  • During the division process, we finally received number 1. As a result, we can’t proceed further. Hence, there are two prime factors of 54, 2 x 33 or 3 x 3 x 3, where 2 and 3 are the prime numbers.

Pair Factors of 54

Similarly, You can find the pair factors by multiplying two numbers in a pair to get 54; we have the following numbers as follows:

1 × 54 = 54, (1, 54)  is a pair factor of 54.

2 × 27 = 54, (2, 27)  is a pair factor of 54

3 × 18 = 54, (3, 18)  is a pair factor of 54

6 ×   9  = 54, (6, 9)  is a pair factor of 54

As a result, the positive pair factors are (1, 54), (2, 27), (3, 18), and (6, 9).

Solved Examples

Q.1: On a table, there are 54 apples. Roy must distribute them evenly among his three children. What amount of apples will each child get?

Solution: Number of apples = 54

Number of children = 3

Each child will get = 54/3 = 18 apples.

Q.2: Write two times each factor of 54.

Solution: Since 54 has the factors 1, 2, 3, 6, 9, 18, 27, 54.

As a result, we get the following when we multiply two by each factor:

2,4,6,12,18,36,54 and 108

Q.3: How much is the total of the factors of 54?

Solution: 1, 2, 3, 6, 9, 18, 27, 54 are the factors of 54

In other words, by adding all the factors together, we find that;

1+2+3+6+9+18+27+54 = 120

FAQ’s

How many factors are there for number 54?

54 has the following factors: 1, 2, 3, 6, 9, 18, 27, and 54. In total, there are eight factors in 54.

Are the factors and multiples of 54 the same?

Multipliers and factors of 54 differ and are not the same.

What are the multiples of 54 in Maths?

Among the first ten multiples of 54, 54, 108, 162, 216, 270, 324, 378, 432, 486, and 540.

Which is the highest prime factor of 54?

Taking 54 into account, the prime factorization is 2 × 3 × 3 × 3. Since 54 has 3 prime factors, the largest is 3.

What are the positive pair factors of number 54?

In the whole number 54, there are four pair factors (1, 54), (2, 27), (3, 18), and (6, 9).

Relevant Factors Links

Factors of 50=1, 2, 5, 10, 25, 50Factor of 36=1, 2, 3, 4, 6, 9, 12, 18, and 36
Factors of 48=1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.Factors of 18=1, 2, 3, 6, 9, and 18.
Factors of 24= 1, 2, 3, 4, 6, 12 and 24.Factors of 25= 1, 5, and 25
Factors of 42= 1, 2, 3, 6, 7, 14, 21, and 42.Factors of 60= 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60
Factors of 35=1, 5, 7, and 35.Factors of 81=1, 3, 9, 27, and 81
Factors of 75=1, 3, 5, 15, 25 and 75Factors of 56=1, 2, 4, 7, 8, 14, 28 and 56.

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