# Prime factorization of 999

Here you will see step by step solution of prime factorization of 999, how to find factors of 999, you will see all factors of 999, how many factors of 999 has? Factors of 999 are 1, 3, 9, 27, 37, 111, 333, 999, we can see that 999 has 8 factor and sum of all factors is 1520.

• All Factors of 999: 1, 3, 9, 27, 37, 111, 333, 999
• Prime Factors of 999: 3 × 3 × 3 × 37
• Prime Factorization of 999: 33 × 371
• Sum of Factors of 999: 1520
• Is 999 prime number: No

### How to find factors of 999 by Division Method?

To find the factors of 999 by division method, we need the find the all numbers between 1 to 999, which divide 999 with 0 remainder, then the number is factor of 999.

### Pair factors of 999

• 999/1 = 999 [ 1 × 999 (1, 999) 1 and 999 is pair factor of 999]
• 999/3 = 333 [ 3 × 333 (3, 333) 3 and 333 is pair factor of 999]
• 999/9 = 111 [ 9 × 111 (9, 111) 9 and 111 is pair factor of 999]
• 999/27 = 37 [ 27 × 37 (27, 37) 27 and 37 is pair factor of 999]
• 999/37 = 27 [ 37 × 27 (37, 27) 37 and 27 is pair factor of 999]
• 999/111 = 9 [ 111 × 9 (111, 9) 111 and 9 is pair factor of 999]
• 999/333 = 3 [ 333 × 3 (333, 3) 333 and 3 is pair factor of 999]
• 999/999 = 1 [ 999 × 1 (999, 1) 999 and 1 is pair factor of 999]

As we checked numbers between 1 to 999 that are not leaving any remainder, hence we can say factors of 999 is 1, 3, 9, 27, 37, 111, 333, 999.

Also note that, in exponential form prime factorization of 999 is written as 33 × 371 and it is a composite number.

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