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Is 54 A Prime Number

The factors of 54 are the numbers, that can separate 54 completely or evenly. When a pair of factors are multiplied together to produce the 54, then they are said to be pair factors. The factors separate the number completely. Hence, these factors cannot exist a fraction.

Factors of 54: one,2,3,half dozen,9,18,27 and 54

Factor pairs of the number 54 are the whole numbers which are non a fraction or decimal number. To find the factors of a number , 54, we will employ the factorization method.

Factors of 54

Some of import backdrop of factors are:

  • A gene of whatever given number is its verbal divisor
  • For every number, 1 is a gene.
  • The factor should be e'er less than or equal to the number itself
  • The number itself is considered every bit the greatest gene of a number.

What are the Factors of 54?

The factors of a number are the natural numbers that can split the original number completely.

Factors of 54
1, ii, three, half-dozen, ix, eighteen, 27, and 54

How to Calculate Factors of 54?

To find factors of 54, nosotros have to separate 54 past all natural numbers from one to 54.

  • 54 ÷ i = 54
  • 54 ÷ 2 = 27
  • 54 ÷ 3 = 18
  • 54 ÷ half dozen = 9

Prime Factors of 54 Past Segmentation Method

The number 54 is a composite and information technology should accept prime number factors. Now allow us know how to summate the prime factors of 54.

  • The commencement step is to divide the number 54 with the smallest prime cistron, say 2.

54 ÷ 2 = 27

  • Again, when you carve up 54 by iii, you will get a partial number and information technology cannot be a   factor and go on with the adjacent prime cistron, say 3

27 ÷ three = nine

           ix ÷ 3 = iii

           3 ÷ 3 = 1

  • Finally, we received the number 1 at the cease of the sectionalization process. So that we cannot continue farther. So, the prime factors of 54 are written every bit ii × three × 3 × iii or 2x iii 3 , where 2 and iii are the prime numbers .

Video Lesson on Prime number Factors

Pair Factors of 54

To detect the pair factors, multiply the ii numbers in a pair to get the original number as 54, such numbers are as follows

1 × 54 = 54, (ane, 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 cistron of 54

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

Therefore, the positive pair factors are (1, 54), (2, 27),(3, 18) and (vi, 9) .

Solved Examples

Q.i: In that location are 54 bananas kept on a table. Mary has to distribute these bananas equally to her 3 children. How many bananas does each child will become?

Solution: Number of bananas = 54

Number of children = 3

Each kid volition go = 54/3 = xviii bananas.

Q.2: Write two times of all of the factors of 54.

Solution: Since nosotros know the factors of the number 54 are 1, 2, three, half-dozen, nine, 18, 27, 54.

Thus, if we multiply 2 by each of the factors we get;

2,4,half-dozen,12,18,36,54 and 108

Q.3: What is the sum of all the factors of 54?

Solution: i, 2, iii, vi, ix, 18, 27, 54 are the factors of 54

Now if we add together all the factors, and then;

i+2+three+half-dozen+9+18+27+54 = 120

Stay tuned with BYJU'Due south to know most factors of 54 and also learn the prime factors of other numbers. To clarify the doubts, sentry interactive videos for better agreement.

Frequently Asked Questions – FAQs

How many factors are there for number 54?

The factors of 54 are 1, 2, three, vi, 9, 18, 27 and 54. Hence, in that location are total 8 factors.

Are the factors and multiples of 54 same?

Factors and multiples of 54 are different and not the same.

What are the multiples of 54 in Maths?

The beginning ten multiples of 54 are 54, 108, 162, 216, 270, 324, 378, 432, 486 and 540.

Which is the highest prime number factor of 54?

Prime number factorisation of 54 is 2 × 3 × iii × iii. Therefore, the highest prime factor of 54 is iii.

What are the positive pair factors of number 54?

The pair factors of whole number 54 are (1, 54), (2, 27), (three, eighteen), (6, 9).

Is 54 A Prime Number,

Source: https://byjus.com/maths/factors-of-54/

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