Factors of 1990 are numbers that, when multiplied in pairs give the product as 1990. There are overall 8 factors of 1990 i.e. 1, 2, 5, 10, 199, 398, 995, 1990 where 1990 is the biggest factor. The Pair Factors of 1990 are (1, 1990), (2, 995), (5, 398), (10, 199) and its Prime Factors are 2 × 5 × 199.

• All Factors of 1990: 1, 2, 5, 10, 199, 398, 995 and 1990
• Negative Factors of 1990: -1, -2, -5, -10, -199, -398, -995 and -1990
• Prime Factors of 1990: 2, 5, 199
• Prime Factorization of 1990: 2¹ × 5¹ × 199¹
• Sum of Factors of 1990: 3600

1.	What Are the Factors of 1990?
2.	Factors of 1990 by Prime Factorization
3.	Factors of 1990 in Pairs
4.	FAQs on Factors of 1990

Factors of 1990 are pairs of those numbers whose products result in 1990. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1990?

To find the factors of 1990, we will have to find the list of numbers that would divide 1990 without leaving any remainder.

• 1990/1 = 1990; therefore, 1 is a factor of 1990.
• 1990/398 = 5; therefore, 398 is a factor of 1990.

Similarly we can find other factors. Hence, the factors of 1990 are 1, 2, 5, 10, 199, 398, 995, 1990.

☛ Also Check:

• Factors of 12 - The factors of 12 are 1, 2, 3, 4, 6, 12
• Factors of 24 - The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
• Factors of 121 - The factors of 121 are 1, 11, 121
• Factors of 90 - The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
• Factors of 50 - The factors of 50 are 1, 2, 5, 10, 25, 50

The number 1990 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1990. The first step is to divide the number 1990 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 1990 ÷ 2 = 995

Further dividing 995 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 995 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 1990 can be written as 2¹ × 5¹ × 199¹ where 2, 5, 199 are prime.

Pair factors of 1990 are the pairs of numbers that when multiplied give the product 1990. The factors of 1990 in pairs are:

• 1 × 1990 = (1, 1990)
• 2 × 995 = (2, 995)
• 5 × 398 = (5, 398)
• 10 × 199 = (10, 199)

Negative pair factors of 1990 are:

• -1 × -1990 = (-1, -1990)
• -2 × -995 = (-2, -995)
• -5 × -398 = (-5, -398)
• -10 × -199 = (-10, -199)

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