Factors the 54 are the perform of integers that can be evenly divided into 54. There are as whole 8 components of 54 among which 54 is the biggest factor and its positive determinants are 1, 2, 3, 6, 9, 18, 27 and 54. The Pair components of 54 space (1, 54), (2, 27), (3, 18), and (6, 9) and also its Prime components are 1, 2, 3, 6, 9, 18, 27, 54.

You are watching: What are the factors of 54

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

 

1.What space the factors of 54?
2.How to Calculate factors of 54?
3.Factors that 54 by element Factorization
4.Factors that 54 in Pairs
5.FAQs on factors of 54

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

*


How to calculate the components of 54?

To calculate the factors of any type of number, below in this instance 54, we require to find all the number that would divide 54 without leave any remainder. We begin with the number 1, then check for number 2, 3, 4, 5, 6, 7, etc up come 54 respectively. The number 1 and the number itself would constantly be a element of the given number.

We to express 54 as a product of its prime determinants in the element factorization method and we division 54 with its divisors in the division method. Let united state see which numbers division 54 exactly without a remainder. The divisors, and also the quotients, space the components of 54

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

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

To understand the concept of finding determinants by prime factorization better, let us take a couple of more examples.


Factors the 54 by element factorization are provided by making use of the adhering to steps. In the an initial step compose the pair of factors, which on multiplication offers the forced number. 54 can be factored together a product of 6 and also 9. In the 2nd step view the factors, whether each one of them is element or not. 6 is no a element number and also can it is in dissociated together a product that 2 by 3. 9 is no a prime number and can be dissociated together a product the 3 by the square of 3 in step three, together per the criteria, 54 can be created as 54 = 6 × 9 = 2 × 3 × 3 × 3. That can additionally be created as 54 = 2 × 33.Observe listed below the element factorization of 54

*


Pair determinants are bag of those numbers which as soon as multiplied, give the product together the forced number.

Factors of 54 in pairs can be written 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 possible to have an adverse pair factors too because the product that two an adverse numbers additionally gives a hopeful number.

Let"s have 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 also distribute them amongst themselves equally. How countless oranges will certainly each of them get? 

Solution:

54 oranges room to it is in divided amongst James, Judy, and also Christina equally.So for this, we need to divide the number 54 by 354 ÷ 3=18Hence each kid will acquire 18 oranges.


Example 2: help Ruth in finding the following factors of 54.

a. Fifty percent of 54?b. Two-third that 54?

Solution

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


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

Solution

The possible factor pairs of 54 space (1, 54), (2, 27), (3, 18), (6, 9)1, 2, and 3 are no composite.So, the end of every these pairs, only (6, 9) has actually both the components as composite numbers.


View an ext >

go come slidego to slidego come slide


*


Break down tough principles through an easy visuals.
Math will certainly no longer be a difficult subject, specifically when you understand the concepts through visualizations.

FAQs on components of 54

What room the determinants of 54?

The determinants of 54 space 1, 2, 3, 6, 9, 18, 27, 54 and also its an adverse factors are -1, -2, -3, -6, -9, -18, -27, -54.

What is the Greatest common Factor the 54 and 49?

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

What is the sum of the determinants of 54?

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

What Numbers space the Prime determinants of 54?

The prime factors of 54 are 2, 3.

See more: How Long Is A Score In Years ? Four Score And Seven Years Ago

How countless Factors that 34 are likewise Common come the components of 54?

Since, the determinants of 54 space 1, 2, 3, 6, 9, 18, 27, 54 and the components of 34 room 1, 2, 17, 34.Hence, <1, 2> are the typical factors of 54 and 34.