Factors of 54 are the list of integers that have the right to be evenly split into 54. There are as whole 8 determinants of 54 amongst which 54 is the greatest factor and also its positive factors are 1, 2, 3, 6, 9, 18, 27 and 54. The Pair components of 54 room (1, 54), (2, 27), (3, 18), and (6, 9) and its Prime factors are 1, 2, 3, 6, 9, 18, 27, 54.

You are watching: 54 as a product of prime factors

Factors that 54: 1, 2, 3, 6, 9, 18, 27 and also 54Negative components of 54: -1, -2, -3, -6, -9, -18, -27 and -54Prime components of 54: 2, 3Prime administer of 54: 2 × 3 × 3 × 3 = 2 × 33Sum of factors of 54: 120

 

1.What room the factors of 54?
2.How come Calculate determinants of 54?
3.Factors the 54 by element Factorization
4.Factors the 54 in Pairs
5.FAQs on factors of 54

Before we move ahead, let’s recall a small about factors. A aspect is a number that divides the given number without any remainder. The determinants of 54 are pairs of those numbers whose commodities results in 54

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How to calculation the factors of 54?

To calculation the components of any number, right here in this situation 54, we need to uncover all the numbers that would certainly divide 54 without leaving any remainder. We start with the number 1, then check for number 2, 3, 4, 5, 6, 7, and so on up come 54 respectively. The number 1 and also the number chin would constantly be a factor of the offered number.

We refer 54 as a product of its prime factors in the element factorization method as well as we divide 54 with the divisors in the division method. Let united state see i beg your pardon numbers divide 54 exactly without a remainder. The divisors, as well as the quotients, space the components of 54

54 ÷ 1 = 54, therefore, 1 and also 24 is a aspect of 5454 ÷ 2 = 27, therefore, 2 is a factor of 5454 ÷ 3 = 18, therefore, 3 is a element of 5454 ÷ 6 = 9, therefore, 6 is a element of 54

Hence, the determinants of 54 room 1, 2, 3, 6, 9, 18, 27 and 54

To understand the ide of finding components by element factorization better, let united state take a couple of more examples.


Factors of 54 by prime factorization are provided by using the complying with steps. In the an initial step create the pair of factors, i m sorry on multiplication provides the forced number. 54 can be factored together a product the 6 and also 9. In the 2nd step watch the factors, whether each one of them is prime or not. 6 is not a element number and also can be dissociated as a product the 2 by 3. 9 is no a prime number and also can it is in dissociated as a product that 3 by the square the 3 in action three, together per the criteria, 54 can be written as 54 = 6 × 9 = 2 × 3 × 3 × 3. That can additionally be composed as 54 = 2 × 33.Observe listed below the prime factorization that 54

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Pair determinants are bag of those numbers which when multiplied, offer the product together the required number.

Factors of 54 in pairs can be composed as:

FactorsPair factors
1 × 54 = 541, 54 
2 × 27 = 542, 27
3 × 18 = 54 3, 18 
6 × 9 = 54 6, 9
9 × 6 = 54 9, 6 
18 × 3 = 54 18, 3 
27 × 2 = 54 27, 2 
54 × 1 = 5454, 1 

The above given factors are confident pair factors. 

It is feasible to have an adverse pair factors as well because the product of two an adverse numbers likewise gives a confident number.

Let"s have actually a watch at an adverse pair factors. 

FactorsPair factors
-1 × -54 = 54(-1, -54) 
-2 × -27 = 54(-2, -27)
-3 × -18 = 54( -3, -18) 
-6 × -9 = 54 (-6, -9)
-9 × -6 = 54( -9, -6) 
-18 × -3 = 54 (18, -3 )
-27 × -2 = 54( -27, -2 ) 
-54 × -1 = 54 (-54, -1 )

Example 1: James, Judy, and also Christina pluck 54 oranges and distribute them among themselves equally. How countless oranges will each of them get? 

Solution:

54 oranges are to be divided among James, Judy, and Christina equally.So because that this, we should divide the number 54 through 354 ÷ 3=18Hence each kid will acquire 18 oranges.


Example 2: assist Ruth in finding the following determinants of 54.

a. Half of 54?b. Two-third of 54?

Solution

a. 54 ÷ 2=27b. 54 × 2 ÷ 3 = 36But 36 is no a factor of 54So, no element of 54 is two-third the 54


Example 3: Give one-factor pair of 54 which includes both composite numbers.

Solution

The possible factor pairs of 54 are (1, 54), (2, 27), (3, 18), (6, 9)1, 2, and also 3 are not composite.So, the end of every these pairs, only (6, 9) has both the components as composite numbers.


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FAQs on components of 54

What room the determinants of 54?

The components of 54 room 1, 2, 3, 6, 9, 18, 27, 54 and also its an unfavorable factors room -1, -2, -3, -6, -9, -18, -27, -54.

What is the Greatest typical Factor of 54 and 49?

The components of 54 are 1, 2, 3, 6, 9, 18, 27, 54 and also the factors of 49 space 1, 7, 49. 54 and 49 have only one usual factor which is 1. This indicates that 54 and also 49 are co-prime.Hence, the Greatest common Factor (GCF) of 54 and also 49 is 1.

What is the amount of the determinants of 54?

Sum of all determinants of 54 = (21 + 1 - 1)/(2 - 1) × (33 + 1 - 1)/(3 - 1) = 120

What Numbers are the Prime factors of 54?

The prime components of 54 space 2, 3.

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How numerous Factors of 34 are likewise Common to the determinants of 54?

Since, the components of 54 are 1, 2, 3, 6, 9, 18, 27, 54 and the factors of 34 are 1, 2, 17, 34.Hence, <1, 2> space the usual factors that 54 and also 34.