Factors of 1998 are the list of integers that can be evenly divided into 1998. There are overall 16 factors of 1998, of which 2, 3, 37 are its prime factors. The sum of all factors of 1998 is 4560.

• All Factors of 1998: 1, 2, 3, 6, 9, 18, 27, 37, 54, 74, 111, 222, 333, 666, 999 and 1998
• Prime Factors of 1998: 2, 3, 37
• Prime Factorization of 1998: 2¹ × 3³ × 37¹
• Sum of Factors of 1998: 4560

1.	What Are the Factors of 1998?
2.	Factors of 1998 by Prime Factorization
3.	Factors of 1998 in Pairs
4.	FAQs on Factors of 1998

Factors of 1998 are pairs of those numbers whose products result in 1998. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1998?

To find the factors of 1998, we will have to find the list of numbers that would divide 1998 without leaving any remainder.

• 1998/3 = 666; therefore, 3 is a factor of 1998 and 666 is also a factor of 1998.
• 1998/111 = 18; therefore, 111 is a factor of 1998 and 18 is also a factor of 1998.

Similarly we can find other factors. Hence, the factors of 1998 are 1, 2, 3, 6, 9, 18, 27, 37, 54, 74, 111, 222, 333, 666, 999, 1998.

☛ Also Check:

• Factors of 91 - The factors of 91 are 1, 7, 13, 91
• Factors of 90 - The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
• Factors of 99 - The factors of 99 are 1, 3, 9, 11, 33, 99
• Factors of 34 - The factors of 34 are 1, 2, 17, 34
• Factors of 28 - The factors of 28 are 1, 2, 4, 7, 14, 28

The number 1998 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1998. The first step is to divide the number 1998 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 1998 ÷ 2 = 999

Further dividing 999 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 999 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 1998 can be written as 2¹ × 3³ × 37¹ where 2, 3, 37 are prime.

Pair factors of 1998 are the pairs of numbers that when multiplied give the product 1998. The factors of 1998 in pairs are:

• 1 × 1998 = (1, 1998)
• 2 × 999 = (2, 999)
• 3 × 666 = (3, 666)
• 6 × 333 = (6, 333)
• 9 × 222 = (9, 222)
• 18 × 111 = (18, 111)
• 27 × 74 = (27, 74)
• 37 × 54 = (37, 54)

Negative pair factors of 1998 are:

• -1 × -1998 = (-1, -1998)
• -2 × -999 = (-2, -999)
• -3 × -666 = (-3, -666)
• -6 × -333 = (-6, -333)
• -9 × -222 = (-9, -222)
• -18 × -111 = (-18, -111)
• -27 × -74 = (-27, -74)
• -37 × -54 = (-37, -54)

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