Prime factorization of 216

Here you will see step by step solution of prime factorization of 216, how to find factors of 216, you will see all factors of 216, how many factors of 216 has? Factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, we can see that 216 has 16 factor and sum of all factors is 600.

  • All Factors of 216: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
  • Prime Factors of 216: 2 × 2 × 2 × 3 × 3 × 3
  • Prime Factorization of 216: 23 × 33
  • Sum of Factors of 216: 600
  • Is 216 prime number: No

How to find factors of 216 by Division Method?

To find the factors of 216 by division method, we need the find the all numbers between 1 to 216, which divide 216 with 0 remainder, then the number is factor of 216.

Pair factors of 216

  • 216/1 = 216 [ 1 × 216 (1, 216) 1 and 216 is pair factor of 216]
  • 216/2 = 108 [ 2 × 108 (2, 108) 2 and 108 is pair factor of 216]
  • 216/3 = 72 [ 3 × 72 (3, 72) 3 and 72 is pair factor of 216]
  • 216/4 = 54 [ 4 × 54 (4, 54) 4 and 54 is pair factor of 216]
  • 216/6 = 36 [ 6 × 36 (6, 36) 6 and 36 is pair factor of 216]
  • 216/8 = 27 [ 8 × 27 (8, 27) 8 and 27 is pair factor of 216]
  • 216/9 = 24 [ 9 × 24 (9, 24) 9 and 24 is pair factor of 216]
  • 216/12 = 18 [ 12 × 18 (12, 18) 12 and 18 is pair factor of 216]
  • 216/18 = 12 [ 18 × 12 (18, 12) 18 and 12 is pair factor of 216]
  • 216/24 = 9 [ 24 × 9 (24, 9) 24 and 9 is pair factor of 216]
  • 216/27 = 8 [ 27 × 8 (27, 8) 27 and 8 is pair factor of 216]
  • 216/36 = 6 [ 36 × 6 (36, 6) 36 and 6 is pair factor of 216]
  • 216/54 = 4 [ 54 × 4 (54, 4) 54 and 4 is pair factor of 216]
  • 216/72 = 3 [ 72 × 3 (72, 3) 72 and 3 is pair factor of 216]
  • 216/108 = 2 [ 108 × 2 (108, 2) 108 and 2 is pair factor of 216]
  • 216/216 = 1 [ 216 × 1 (216, 1) 216 and 1 is pair factor of 216]

As we checked numbers between 1 to 216 that are not leaving any remainder, hence we can say factors of 216 is 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216.

Also note that, in exponential form prime factorization of 216 is written as 23 × 33 and it is a composite number.

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