# Factors of 1990

Factors of 1990 are 1, 2, 5, 10, 199, 398, 995, and 1990

#### How to find factors of a number

 1.   Find factors of 1990 using Division Method 2.   Find factors of 1990 using Prime Factorization 3.   Find factors of 1990 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1990

• Divide 1990 by 1: 1990 ÷ 1 : Remainder = 0
• Divide 1990 by 2: 1990 ÷ 2 : Remainder = 0
• Divide 1990 by 5: 1990 ÷ 5 : Remainder = 0
• Divide 1990 by 10: 1990 ÷ 10 : Remainder = 0
• Divide 1990 by 199: 1990 ÷ 199 : Remainder = 0
• Divide 1990 by 398: 1990 ÷ 398 : Remainder = 0
• Divide 1990 by 995: 1990 ÷ 995 : Remainder = 0
• Divide 1990 by 1990: 1990 ÷ 1990 : Remainder = 0

Hence, Factors of 1990 are 1, 2, 5, 10, 199, 398, 995, and 1990

#### 2. Steps to find factors of 1990 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 1990 using the division method, follow these steps:

• Step 1. Start dividing 1990 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 1990, which is 2. Divide 1990 by 2 to obtain the quotient (995).
1990 ÷ 2 = 995
• Step 3. Repeat step 1 with the obtained quotient (995).
995 ÷ 5 = 199
199 ÷ 199 = 1

So, the prime factorization of 1990 is, 1990 = 2 x 5 x 199.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1990 as shown below:

So, the prime factorization of 1990 is, 1990 = 2 x 5 x 199.

#### 3. Find factors of 1990 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 1990 would be the two numbers which, when multiplied, give 1990 as the result.

The following table represents the calculation of factors of 1990 in pairs:

Factor Pair Pair Factorization
1 and 1990 1 x 1990 = 1990
2 and 995 2 x 995 = 1990
5 and 398 5 x 398 = 1990
10 and 199 10 x 199 = 1990

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 1990. They are called negative pair factors.

Hence, the negative pairs of 1990 would be ( -1 , -1990 ) , ( -2 , -995 ) , ( -5 , -398 ) and ( -10 , -199 ) .

#### What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 1990 is a factor of itself.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 2, 5, 10, 199, 398, 995, 1990 are exact divisors of 1990.
• 1 is a factor of every number. Eg. 1 is a factor of 1990.
• Every number is a factor of zero (0), since 1990 x 0 = 0.

• What are the prime factors of 1990?

The factors of 1990 are 1, 2, 5, 10, 199, 398, 995, 1990.
Prime factors of 1990 are 2, 5, 199.

• What is the sum of all factors of 1990?

The sum of all factors of 1990 is 3600.

• What are the pair factors of 1990?

Pair factors of 1990 are (1,1990), (2,995), (5,398), (10,199).

• What two numbers make 1990?

Two numbers that make 1990 are 2 and 995.

• What are multiples of 1990?

First five multiples of 1990 are 3980, 5970, 7960, 9950.

• Is 1990 a perfect square?

No 1990 is not a perfect square.

• Which is greatest factor of 1990?

The greatest factor of 1990 is 995.

• How do you factors of 1990?

Factors of 1990 are 1, 2, 5, 10, 199, 398, 995, 1990.

• What are five multiples of 1990?

First five multiples of 1990 are 3980, 5970, 7960, 9950, 11940.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 1990?

Factors of 1990 are 1, 2, 5, 10, 199, 398, 995, 1990.
Even factors of 1990 are 2, 10, 398, 1990.
Hence, product of even factors of 1990 is; 2 x 10 x 398 x 1990 = 15840400.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 1990? Help her in writing all the factors.

Positive factors are 1, 2, 5, 10, 199, 398, 995, 1990.
Negative factors are -1, -2, -5, -10, -199, -398, -995, -1990.

How many factors are there for 1990?

Factors of 1990 are 1, 2, 5, 10, 199, 398, 995, 1990.
So there are in total 8 factors.

Sammy is puzzled while calculating the prime factors of 1990. Can you help him find them?

Factors of 1990 are 1, 2, 5, 10, 199, 398, 995, 1990.
Prime factors of 1990 are 2, 5, 199

Joey wants to write all the prime factors of 1990 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1990 are 2, 5, 199.
So in exponential form it can be written as 2 x 5 x 199.

What is prime factorization of 1990?

Prime factorization of 1990 is 2 x 5 x 199 = 2 x 5 x 199.

Can you help Rubel to find out the product of the even factors of 1990?

Factors of 1990 are 1, 2, 5, 10, 199, 398, 995, 1990.
Even factors of 1990 are 2, 10, 398, 1990.
Hence, product of even factors of 1990 is; 2 x 10 x 398 x 1990 = 15840400.