Prime factorization of 585

Here you will see step by step solution of prime factorization of 585, how to find factors of 585, you will see all factors of 585, how many factors of 585 has? Factors of 585 are 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585, we can see that 585 has 12 factor and sum of all factors is 1092.

  • All Factors of 585: 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
  • Prime Factors of 585: 3 × 3 × 5 × 13
  • Prime Factorization of 585: 32 × 51 × 131
  • Sum of Factors of 585: 1092
  • Is 585 prime number: No

How to find factors of 585 by Division Method?

To find the factors of 585 by division method, we need the find the all numbers between 1 to 585, which divide 585 with 0 remainder, then the number is factor of 585.

Pair factors of 585

  • 585/1 = 585 [ 1 × 585 (1, 585) 1 and 585 is pair factor of 585]
  • 585/3 = 195 [ 3 × 195 (3, 195) 3 and 195 is pair factor of 585]
  • 585/5 = 117 [ 5 × 117 (5, 117) 5 and 117 is pair factor of 585]
  • 585/9 = 65 [ 9 × 65 (9, 65) 9 and 65 is pair factor of 585]
  • 585/13 = 45 [ 13 × 45 (13, 45) 13 and 45 is pair factor of 585]
  • 585/15 = 39 [ 15 × 39 (15, 39) 15 and 39 is pair factor of 585]
  • 585/39 = 15 [ 39 × 15 (39, 15) 39 and 15 is pair factor of 585]
  • 585/45 = 13 [ 45 × 13 (45, 13) 45 and 13 is pair factor of 585]
  • 585/65 = 9 [ 65 × 9 (65, 9) 65 and 9 is pair factor of 585]
  • 585/117 = 5 [ 117 × 5 (117, 5) 117 and 5 is pair factor of 585]
  • 585/195 = 3 [ 195 × 3 (195, 3) 195 and 3 is pair factor of 585]
  • 585/585 = 1 [ 585 × 1 (585, 1) 585 and 1 is pair factor of 585]

As we checked numbers between 1 to 585 that are not leaving any remainder, hence we can say factors of 585 is 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585.

Also note that, in exponential form prime factorization of 585 is written as 32 × 51 × 131 and it is a composite number.

Prime Factorization Calculator

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