# Factors of 995

Factors of 995 are 1, 5, 199, and 995

#### How to find factors of a number

 1.   Find factors of 995 using Division Method 2.   Find factors of 995 using Prime Factorization 3.   Find factors of 995 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 995

• Divide 995 by 1: 995 ÷ 1 : Remainder = 0
• Divide 995 by 5: 995 ÷ 5 : Remainder = 0
• Divide 995 by 199: 995 ÷ 199 : Remainder = 0
• Divide 995 by 995: 995 ÷ 995 : Remainder = 0

Hence, Factors of 995 are 1, 5, 199, and 995

#### 2. Steps to find factors of 995 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 995 using the division method, follow these steps:

• Step 1. Start dividing 995 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 995, which is 5. Divide 995 by 5 to obtain the quotient (199).
995 ÷ 5 = 199
• Step 3. Repeat step 1 with the obtained quotient (199).
199 ÷ 199 = 1

So, the prime factorization of 995 is, 995 = 5 x 199.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 995 as shown below:

So, the prime factorization of 995 is, 995 = 5 x 199.

#### 3. Find factors of 995 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 995 would be the two numbers which, when multiplied, give 995 as the result.

The following table represents the calculation of factors of 995 in pairs:

Factor Pair Pair Factorization
1 and 995 1 x 995 = 995
5 and 199 5 x 199 = 995

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 995. They are called negative pair factors.

Hence, the negative pairs of 995 would be ( -1 , -995 ) , ( -5 , -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

• Every number is a factor of zero (0), since 995 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, 5, 199, 995 are exact divisors of 995.
• Factors of 995 are 1, 5, 199, 995. Each factor divides 995 without leaving a remainder.

• What are the pair factors of 995?

Pair factors of 995 are (1,995), (5,199).

• What are five multiples of 995?

First five multiples of 995 are 1990, 2985, 3980, 4975, 5970.

• What two numbers make 995?

Two numbers that make 995 are 5 and 199.

• What is the sum of all factors of 995?

The sum of all factors of 995 is 1200.

• What are factors of -995?

Factors of -995 are -1, -5, -199, -995.

• What are factors of 995?

Factors of 995 are 1, 5, 199, 995.

• Is 995 a perfect square?

No 995 is not a perfect square.

• Which is the smallest prime factor of 995?

Smallest prime factor of 995 is 5.

• Which is greatest factor of 995?

The greatest factor of 995 is 199.

#### Examples of Factors

Can you help Sammy find out the product of the odd factors of 995?

Factors of 995 are 1, 5, 199, 995.
Odd factors of 995 are 1, 5, 199, 995.
Hence product of odd factors of 995 is; 1 x 5 x 199 x 995 = 990025.

Joey wants to write all the prime factors of 995 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 995 are 5, 199.
So in exponential form it can be written as 5 x 199.

How many factors are there for 995?

Factors of 995 are 1, 5, 199, 995.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 995. Can you predict the answer?

3 factor(s) of 995 are 1, 5, 199.

Sammy is puzzled while calculating the prime factors of 995. Can you help him find them?

Factors of 995 are 1, 5, 199, 995.
Prime factors of 995 are 5, 199

What is prime factorization of 995?

Prime factorization of 995 is 5 x 199 = 5 x 199.

Can you help Rubel to find out the product of the even factors of 995?

Factors of 995 are 1, 5, 199, 995.
Even factors of 995 are 0.
Hence, product of even factors of 995 is; 0 = 0.