Factors of 999 are the list of integers that can be evenly divided into 999. There are overall 8 factors of 999 among which 999 is the biggest factor and its positive factors are 1, 3, 9, 27, 37, 111, 333, 999. The Prime Factors and Pair Factors of 999 are 3 × 37 and (1, 999), (3, 333), (9, 111), (27, 37) respectively.

• All Factors of 999: 1, 3, 9, 27, 37, 111, 333 and 999
• Negative Factors of 999: -1, -3, -9, -27, -37, -111, -333 and -999
• Prime Factors of 999: 3, 37
• Prime Factorization of 999: 3³ × 37¹
• Sum of Factors of 999: 1520

1.	What Are the Factors of 999?
2.	Factors of 999 by Prime Factorization
3.	Factors of 999 in Pairs
4.	FAQs on Factors of 999

Factors of 999 are pairs of those numbers whose products result in 999. These factors are either prime numbers or composite numbers.

How to Find the Factors of 999?

To find the factors of 999, we will have to find the list of numbers that would divide 999 without leaving any remainder.

• 999/999 = 1; therefore, 999 is a factor of 999.
• 999/27 = 37; therefore, 27 is a factor of 999.

Similarly we can find other factors. Hence, the factors of 999 are 1, 3, 9, 27, 37, 111, 333, 999.

☛ Also Check:

• Factors of 12 - The factors of 12 are 1, 2, 3, 4, 6, 12
• Factors of 13 - The factors of 13 are 1, 13
• Factors of 66 - The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
• Factors of 52 - The factors of 52 are 1, 2, 4, 13, 26, 52
• Factors of 75 - The factors of 75 are 1, 3, 5, 15, 25, 75

The number 999 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 999. The first step is to divide the number 999 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

• 999 ÷ 3 = 333
• 333 ÷ 3 = 111
• 111 ÷ 3 = 37

Further dividing 37 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 37 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.

So, the prime factorization of 999 can be written as 3³ × 37¹ where 3, 37 are prime.

Pair factors of 999 are the pairs of numbers that when multiplied give the product 999. The factors of 999 in pairs are:

• 1 × 999 = (1, 999)
• 3 × 333 = (3, 333)
• 9 × 111 = (9, 111)
• 27 × 37 = (27, 37)

Negative pair factors of 999 are:

• -1 × -999 = (-1, -999)
• -3 × -333 = (-3, -333)
• -9 × -111 = (-9, -111)
• -27 × -37 = (-27, -37)

NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.