# Factors of 1995

Factors of 1995 are 1, 3, 5, 7, 15, 19, 21, 35, 57, 95, 105, 133, 285, 399, 665, and 1995

#### How to find factors of a number

 1.   Find factors of 1995 using Division Method 2.   Find factors of 1995 using Prime Factorization 3.   Find factors of 1995 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1995

• Divide 1995 by 1: 1995 ÷ 1 : Remainder = 0
• Divide 1995 by 3: 1995 ÷ 3 : Remainder = 0
• Divide 1995 by 5: 1995 ÷ 5 : Remainder = 0
• Divide 1995 by 7: 1995 ÷ 7 : Remainder = 0
• Divide 1995 by 15: 1995 ÷ 15 : Remainder = 0
• Divide 1995 by 19: 1995 ÷ 19 : Remainder = 0
• Divide 1995 by 21: 1995 ÷ 21 : Remainder = 0
• Divide 1995 by 35: 1995 ÷ 35 : Remainder = 0
• Divide 1995 by 57: 1995 ÷ 57 : Remainder = 0
• Divide 1995 by 95: 1995 ÷ 95 : Remainder = 0
• Divide 1995 by 105: 1995 ÷ 105 : Remainder = 0
• Divide 1995 by 133: 1995 ÷ 133 : Remainder = 0
• Divide 1995 by 285: 1995 ÷ 285 : Remainder = 0
• Divide 1995 by 399: 1995 ÷ 399 : Remainder = 0
• Divide 1995 by 665: 1995 ÷ 665 : Remainder = 0
• Divide 1995 by 1995: 1995 ÷ 1995 : Remainder = 0

Hence, Factors of 1995 are 1, 3, 5, 7, 15, 19, 21, 35, 57, 95, 105, 133, 285, 399, 665, and 1995

#### 2. Steps to find factors of 1995 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 1995 using the division method, follow these steps:

• Step 1. Start dividing 1995 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 1995, which is 3. Divide 1995 by 3 to obtain the quotient (665).
1995 ÷ 3 = 665
• Step 3. Repeat step 1 with the obtained quotient (665).
665 ÷ 5 = 133
133 ÷ 7 = 19
19 ÷ 19 = 1

So, the prime factorization of 1995 is, 1995 = 3 x 5 x 7 x 19.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1995 as shown below:

So, the prime factorization of 1995 is, 1995 = 3 x 5 x 7 x 19.

#### 3. Find factors of 1995 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 1995 would be the two numbers which, when multiplied, give 1995 as the result.

The following table represents the calculation of factors of 1995 in pairs:

Factor Pair Pair Factorization
1 and 1995 1 x 1995 = 1995
3 and 665 3 x 665 = 1995
5 and 399 5 x 399 = 1995
7 and 285 7 x 285 = 1995
15 and 133 15 x 133 = 1995
19 and 105 19 x 105 = 1995
21 and 95 21 x 95 = 1995
35 and 57 35 x 57 = 1995

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 1995. They are called negative pair factors.

Hence, the negative pairs of 1995 would be ( -1 , -1995 ) , ( -3 , -665 ) , ( -5 , -399 ) , ( -7 , -285 ) , ( -15 , -133 ) , ( -19 , -105 ) , ( -21 , -95 ) and ( -35 , -57 ) .

#### 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

• Every number is a factor of zero (0), since 1995 x 0 = 0.
• 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, 3, 5, 7, 15, 19, 21, 35, 57, 95, 105, 133, 285, 399, 665, 1995 are exact divisors of 1995.
• Factors of 1995 are 1, 3, 5, 7, 15, 19, 21, 35, 57, 95, 105, 133, 285, 399, 665, 1995. Each factor divides 1995 without leaving a remainder.

• How do you find factors of a negative number? ( eg. -1995 )?

Factors of -1995 are -1, -3, -5, -7, -15, -19, -21, -35, -57, -95, -105, -133, -285, -399, -665, -1995.

• What is the sum of all factors of 1995?

The sum of all factors of 1995 is 3840.

• What is prime factorization of 1995?

Prime factorization of 1995 is 3 x 5 x 7 x 19.

• What are the pair factors of 1995?

Pair factors of 1995 are (1,1995), (3,665), (5,399), (7,285), (15,133), (19,105), (21,95), (35,57).

• What are six multiples of 1995?

First five multiples of 1995 are 3990, 5985, 7980, 9975, 11970, 13965.

• Is 1995 a whole number?

Yes 1995 is a whole number.

• Which is the smallest prime factor of 1995?

Smallest prime factor of 1995 is 3.

• What are five multiples of 1995?

First five multiples of 1995 are 3990, 5985, 7980, 9975, 11970.

• Write all factors of 1995?

Factors of 1995 are 1, 3, 5, 7, 15, 19, 21, 35, 57, 95, 105, 133, 285, 399, 665, 1995.

#### Examples of Factors

Joey wants to write all the prime factors of 1995 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1995 are 3, 5, 7, 19.
So in exponential form it can be written as 3 x 5 x 7 x 19.

How many factors are there for 1995?

Factors of 1995 are 1, 3, 5, 7, 15, 19, 21, 35, 57, 95, 105, 133, 285, 399, 665, 1995.
So there are in total 16 factors.

Kevin has been asked to write 15 factor(s) of 1995. Can you predict the answer?

15 factor(s) of 1995 are 1, 3, 5, 7, 15, 19, 21, 35, 57, 95, 105, 133, 285, 399, 665.

Sammy is puzzled while calculating the prime factors of 1995. Can you help him find them?

Factors of 1995 are 1, 3, 5, 7, 15, 19, 21, 35, 57, 95, 105, 133, 285, 399, 665, 1995.
Prime factors of 1995 are 3, 5, 7, 19

What is prime factorization of 1995?

Prime factorization of 1995 is 3 x 5 x 7 x 19 = 3 x 5 x 7 x 19.

Ariel has been assigned the task to find the product of all the prime factors of 1995. Can you help her?

Prime factors of 1995 are 3, 5, 7, 19.
Hence, the product of prime factors of 1995.

Can you help Rubel to find out the product of the even factors of 1995?

Factors of 1995 are 1, 3, 5, 7, 15, 19, 21, 35, 57, 95, 105, 133, 285, 399, 665, 1995.
Even factors of 1995 are 0.
Hence, product of even factors of 1995 is; 0 = 0.