Prime factorization of 900

Here you will see step by step solution of prime factorization of 900, how to find factors of 900, you will see all factors of 900, how many factors of 900 has? Factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900, we can see that 900 has 27 factor and sum of all factors is 2821.

  • All Factors of 900: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
  • Prime Factors of 900: 2 × 2 × 3 × 3 × 5 × 5
  • Prime Factorization of 900: 22 × 32 × 52
  • Sum of Factors of 900: 2821
  • Is 900 prime number: No

How to find factors of 900 by Division Method?

To find the factors of 900 by division method, we need the find the all numbers between 1 to 900, which divide 900 with 0 remainder, then the number is factor of 900.

Pair factors of 900

  • 900/1 = 900 [ 1 × 900 (1, 900) 1 and 900 is pair factor of 900]
  • 900/2 = 450 [ 2 × 450 (2, 450) 2 and 450 is pair factor of 900]
  • 900/3 = 300 [ 3 × 300 (3, 300) 3 and 300 is pair factor of 900]
  • 900/4 = 225 [ 4 × 225 (4, 225) 4 and 225 is pair factor of 900]
  • 900/5 = 180 [ 5 × 180 (5, 180) 5 and 180 is pair factor of 900]
  • 900/6 = 150 [ 6 × 150 (6, 150) 6 and 150 is pair factor of 900]
  • 900/9 = 100 [ 9 × 100 (9, 100) 9 and 100 is pair factor of 900]
  • 900/10 = 90 [ 10 × 90 (10, 90) 10 and 90 is pair factor of 900]
  • 900/12 = 75 [ 12 × 75 (12, 75) 12 and 75 is pair factor of 900]
  • 900/15 = 60 [ 15 × 60 (15, 60) 15 and 60 is pair factor of 900]
  • 900/18 = 50 [ 18 × 50 (18, 50) 18 and 50 is pair factor of 900]
  • 900/20 = 45 [ 20 × 45 (20, 45) 20 and 45 is pair factor of 900]
  • 900/25 = 36 [ 25 × 36 (25, 36) 25 and 36 is pair factor of 900]
  • 900/30 = 30 [ 30 × 30 (30, 30) 30 and 30 is pair factor of 900]
  • 900/36 = 25 [ 36 × 25 (36, 25) 36 and 25 is pair factor of 900]
  • 900/45 = 20 [ 45 × 20 (45, 20) 45 and 20 is pair factor of 900]
  • 900/50 = 18 [ 50 × 18 (50, 18) 50 and 18 is pair factor of 900]
  • 900/60 = 15 [ 60 × 15 (60, 15) 60 and 15 is pair factor of 900]
  • 900/75 = 12 [ 75 × 12 (75, 12) 75 and 12 is pair factor of 900]
  • 900/90 = 10 [ 90 × 10 (90, 10) 90 and 10 is pair factor of 900]
  • 900/100 = 9 [ 100 × 9 (100, 9) 100 and 9 is pair factor of 900]
  • 900/150 = 6 [ 150 × 6 (150, 6) 150 and 6 is pair factor of 900]
  • 900/180 = 5 [ 180 × 5 (180, 5) 180 and 5 is pair factor of 900]
  • 900/225 = 4 [ 225 × 4 (225, 4) 225 and 4 is pair factor of 900]
  • 900/300 = 3 [ 300 × 3 (300, 3) 300 and 3 is pair factor of 900]
  • 900/450 = 2 [ 450 × 2 (450, 2) 450 and 2 is pair factor of 900]
  • 900/900 = 1 [ 900 × 1 (900, 1) 900 and 1 is pair factor of 900]

As we checked numbers between 1 to 900 that are not leaving any remainder, hence we can say factors of 900 is 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900.

Also note that, in exponential form prime factorization of 900 is written as 22 × 32 × 52 and it is a composite number.

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