Prime factorization of 288

Here you will see step by step solution of prime factorization of 288, how to find factors of 288, you will see all factors of 288, how many factors of 288 has? Factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288, we can see that 288 has 18 factor and sum of all factors is 819.

  • All Factors of 288: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
  • Prime Factors of 288: 2 × 2 × 2 × 2 × 2 × 3 × 3
  • Prime Factorization of 288: 25 × 32
  • Sum of Factors of 288: 819
  • Is 288 prime number: No

How to find factors of 288 by Division Method?

To find the factors of 288 by division method, we need the find the all numbers between 1 to 288, which divide 288 with 0 remainder, then the number is factor of 288.

Pair factors of 288

  • 288/1 = 288 [ 1 × 288 (1, 288) 1 and 288 is pair factor of 288]
  • 288/2 = 144 [ 2 × 144 (2, 144) 2 and 144 is pair factor of 288]
  • 288/3 = 96 [ 3 × 96 (3, 96) 3 and 96 is pair factor of 288]
  • 288/4 = 72 [ 4 × 72 (4, 72) 4 and 72 is pair factor of 288]
  • 288/6 = 48 [ 6 × 48 (6, 48) 6 and 48 is pair factor of 288]
  • 288/8 = 36 [ 8 × 36 (8, 36) 8 and 36 is pair factor of 288]
  • 288/9 = 32 [ 9 × 32 (9, 32) 9 and 32 is pair factor of 288]
  • 288/12 = 24 [ 12 × 24 (12, 24) 12 and 24 is pair factor of 288]
  • 288/16 = 18 [ 16 × 18 (16, 18) 16 and 18 is pair factor of 288]
  • 288/18 = 16 [ 18 × 16 (18, 16) 18 and 16 is pair factor of 288]
  • 288/24 = 12 [ 24 × 12 (24, 12) 24 and 12 is pair factor of 288]
  • 288/32 = 9 [ 32 × 9 (32, 9) 32 and 9 is pair factor of 288]
  • 288/36 = 8 [ 36 × 8 (36, 8) 36 and 8 is pair factor of 288]
  • 288/48 = 6 [ 48 × 6 (48, 6) 48 and 6 is pair factor of 288]
  • 288/72 = 4 [ 72 × 4 (72, 4) 72 and 4 is pair factor of 288]
  • 288/96 = 3 [ 96 × 3 (96, 3) 96 and 3 is pair factor of 288]
  • 288/144 = 2 [ 144 × 2 (144, 2) 144 and 2 is pair factor of 288]
  • 288/288 = 1 [ 288 × 1 (288, 1) 288 and 1 is pair factor of 288]

As we checked numbers between 1 to 288 that are not leaving any remainder, hence we can say factors of 288 is 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288.

Also note that, in exponential form prime factorization of 288 is written as 25 × 32 and it is a composite number.

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