# Prime factorization of 54

Here you will see step by step solution of prime factorization of 54, how to find factors of 54, you will see all factors of 54, how many factors of 54 has? Factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54, we can see that 54 has 8 factor and sum of all factors is 120.

• All Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54
• Prime Factors of 54: 2 × 3 × 3 × 3
• Prime Factorization of 54: 21 × 33
• Sum of Factors of 54: 120
• Is 54 prime number: No

### How to find factors of 54 by Division Method?

To find the factors of 54 by division method, we need the find the all numbers between 1 to 54, which divide 54 with 0 remainder, then the number is factor of 54.

### Pair factors of 54

• 54/1 = 54 [ 1 × 54 (1, 54) 1 and 54 is pair factor of 54]
• 54/2 = 27 [ 2 × 27 (2, 27) 2 and 27 is pair factor of 54]
• 54/3 = 18 [ 3 × 18 (3, 18) 3 and 18 is pair factor of 54]
• 54/6 = 9 [ 6 × 9 (6, 9) 6 and 9 is pair factor of 54]
• 54/9 = 6 [ 9 × 6 (9, 6) 9 and 6 is pair factor of 54]
• 54/18 = 3 [ 18 × 3 (18, 3) 18 and 3 is pair factor of 54]
• 54/27 = 2 [ 27 × 2 (27, 2) 27 and 2 is pair factor of 54]
• 54/54 = 1 [ 54 × 1 (54, 1) 54 and 1 is pair factor of 54]

As we checked numbers between 1 to 54 that are not leaving any remainder, hence we can say factors of 54 is 1, 2, 3, 6, 9, 18, 27, 54.

Also note that, in exponential form prime factorization of 54 is written as 21 × 33 and it is a composite number.

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