Prime factorization of 918

Here you will see step by step solution of prime factorization of 918, how to find factors of 918, you will see all factors of 918, how many factors of 918 has? Factors of 918 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918, we can see that 918 has 16 factor and sum of all factors is 2160.

  • All Factors of 918: 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
  • Prime Factors of 918: 2 × 3 × 3 × 3 × 17
  • Prime Factorization of 918: 21 × 33 × 171
  • Sum of Factors of 918: 2160
  • Is 918 prime number: No

How to find factors of 918 by Division Method?

To find the factors of 918 by division method, we need the find the all numbers between 1 to 918, which divide 918 with 0 remainder, then the number is factor of 918.

Pair factors of 918

  • 918/1 = 918 [ 1 × 918 (1, 918) 1 and 918 is pair factor of 918]
  • 918/2 = 459 [ 2 × 459 (2, 459) 2 and 459 is pair factor of 918]
  • 918/3 = 306 [ 3 × 306 (3, 306) 3 and 306 is pair factor of 918]
  • 918/6 = 153 [ 6 × 153 (6, 153) 6 and 153 is pair factor of 918]
  • 918/9 = 102 [ 9 × 102 (9, 102) 9 and 102 is pair factor of 918]
  • 918/17 = 54 [ 17 × 54 (17, 54) 17 and 54 is pair factor of 918]
  • 918/18 = 51 [ 18 × 51 (18, 51) 18 and 51 is pair factor of 918]
  • 918/27 = 34 [ 27 × 34 (27, 34) 27 and 34 is pair factor of 918]
  • 918/34 = 27 [ 34 × 27 (34, 27) 34 and 27 is pair factor of 918]
  • 918/51 = 18 [ 51 × 18 (51, 18) 51 and 18 is pair factor of 918]
  • 918/54 = 17 [ 54 × 17 (54, 17) 54 and 17 is pair factor of 918]
  • 918/102 = 9 [ 102 × 9 (102, 9) 102 and 9 is pair factor of 918]
  • 918/153 = 6 [ 153 × 6 (153, 6) 153 and 6 is pair factor of 918]
  • 918/306 = 3 [ 306 × 3 (306, 3) 306 and 3 is pair factor of 918]
  • 918/459 = 2 [ 459 × 2 (459, 2) 459 and 2 is pair factor of 918]
  • 918/918 = 1 [ 918 × 1 (918, 1) 918 and 1 is pair factor of 918]

As we checked numbers between 1 to 918 that are not leaving any remainder, hence we can say factors of 918 is 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918.

Also note that, in exponential form prime factorization of 918 is written as 21 × 33 × 171 and it is a composite number.

Prime Factorization Calculator

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