Factors of 1990
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: 2^{1} × 5^{1} × 199^{1}
 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 
What are 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.
☛ 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
Factors of 1990 by Prime Factorization
 1990 ÷ 2 = 995
Further dividing 995 by 2 gives a nonzero 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 2^{1} × 5^{1} × 199^{1} where 2, 5, 199 are prime.
Factors of 1990 in Pairs
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.
Factors of 1990 Solved Examples

Example 1: How many factors are there for 1990?
Solution:
The factors of 1990 are 1, 2, 5, 10, 199, 398, 995, 1990. Therefore, 1990 has 8 factors.

Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Divisor (GCD) of 1990 and 570.
Solution:
The factors of 1990 are 1, 2, 5, 10, 199, 398, 995, 1990 and factors of 570 are 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570.
Therefore, the Lowest Common Multiple (LCM) of 1990 and 570 is 113430 and Greatest Common Divisor (GCD) of 1990 and 570 is 10. 
Example 3: Find if 1, 2, 5, 10 and 195 are factors of 1990.
Solution:
When we divide 1990 by 195 it leaves a remainder. Therefore, the number 195 is not a factor of 1990. All numbers except 195 are factors of 1990.

Example 4: Find the product of all the prime factors of 1990.
Solution:
Since, the prime factors of 1990 are 2, 5, 199. Therefore, the product of prime factors = 2 × 5 × 199 = 1990.
FAQs on Factors of 1990
What are the Factors of 1990?
The factors of 1990 are 1, 2, 5, 10, 199, 398, 995, 1990 and its negative factors are 1, 2, 5, 10, 199, 398, 995, 1990.
What is the Sum of all Factors of 1990?
Sum of all factors of 1990 = (2^{1 + 1}  1)/(2  1) × (5^{1 + 1}  1)/(5  1) × (199^{1 + 1}  1)/(199  1) = 3600
What Numbers are the Prime Factors of 1990?
The prime factors of 1990 are 2, 5, 199.
What is the Greatest Common Factor of 1990 and 122?
The factors of 1990 and 122 are 1, 2, 5, 10, 199, 398, 995, 1990 and 1, 2, 61, 122 respectively.
Common factors of 1990 and 122 are [1, 2].
Hence, the Greatest Common Factor (GCF) of 1990 and 122 is 2.
What are the Common Factors of 1990 and 668?
Since, the factors of 1990 are 1, 2, 5, 10, 199, 398, 995, 1990 and the factors of 668 are 1, 2, 4, 167, 334, 668.
Hence, [1, 2] are the common factors of 1990 and 668.
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