# Factors of 795

Factors of 795 are 1, 3, 5, 15, 53, 159, 265, and 795

#### How to find factors of a number

 1.   Find factors of 795 using Division Method 2.   Find factors of 795 using Prime Factorization 3.   Find factors of 795 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 795

• Divide 795 by 1: 795 ÷ 1 : Remainder = 0
• Divide 795 by 3: 795 ÷ 3 : Remainder = 0
• Divide 795 by 5: 795 ÷ 5 : Remainder = 0
• Divide 795 by 15: 795 ÷ 15 : Remainder = 0
• Divide 795 by 53: 795 ÷ 53 : Remainder = 0
• Divide 795 by 159: 795 ÷ 159 : Remainder = 0
• Divide 795 by 265: 795 ÷ 265 : Remainder = 0
• Divide 795 by 795: 795 ÷ 795 : Remainder = 0

Hence, Factors of 795 are 1, 3, 5, 15, 53, 159, 265, and 795

#### 2. Steps to find factors of 795 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 795 using the division method, follow these steps:

• Step 1. Start dividing 795 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 795, which is 3. Divide 795 by 3 to obtain the quotient (265).
795 ÷ 3 = 265
• Step 3. Repeat step 1 with the obtained quotient (265).
265 ÷ 5 = 53
53 ÷ 53 = 1

So, the prime factorization of 795 is, 795 = 3 x 5 x 53.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 795 as shown below:

So, the prime factorization of 795 is, 795 = 3 x 5 x 53.

#### 3. Find factors of 795 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 795 would be the two numbers which, when multiplied, give 795 as the result.

The following table represents the calculation of factors of 795 in pairs:

Factor Pair Pair Factorization
1 and 795 1 x 795 = 795
3 and 265 3 x 265 = 795
5 and 159 5 x 159 = 795
15 and 53 15 x 53 = 795

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 795. They are called negative pair factors.

Hence, the negative pairs of 795 would be ( -1 , -795 ) , ( -3 , -265 ) , ( -5 , -159 ) and ( -15 , -53 ) .

#### 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 795 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, 15, 53, 159, 265, 795 are exact divisors of 795.
• Factors of 795 are 1, 3, 5, 15, 53, 159, 265, 795. Each factor divides 795 without leaving a remainder.

• What are the prime factors of 795?

The factors of 795 are 1, 3, 5, 15, 53, 159, 265, 795.
Prime factors of 795 are 3, 5, 53.

• What two numbers make 795?

Two numbers that make 795 are 3 and 265.

• What is the greatest prime factors of 795?

The greatest prime factor of 795 is 53.

• What are factors of 795?

Factors of 795 are 1, 3, 5, 15, 53, 159, 265, 795.

• How do you find factors of a negative number? ( eg. -795 )?

Factors of -795 are -1, -3, -5, -15, -53, -159, -265, -795.

• What are five multiples of 795?

First five multiples of 795 are 1590, 2385, 3180, 3975, 4770.

• Write some multiples of 795?

First five multiples of 795 are 1590, 2385, 3180, 3975.

• Is 795 a perfect square?

No 795 is not a perfect square.

• What two numbers make 795?

Two numbers that make 795 are 3 and 265.

#### Examples of Factors

What is prime factorization of 795?

Prime factorization of 795 is 3 x 5 x 53 = 3 x 5 x 53.

Sammy is puzzled while calculating the prime factors of 795. Can you help him find them?

Factors of 795 are 1, 3, 5, 15, 53, 159, 265, 795.
Prime factors of 795 are 3, 5, 53

Kevin has been asked to write 7 factor(s) of 795. Can you predict the answer?

7 factor(s) of 795 are 1, 3, 5, 15, 53, 159, 265.

Joey wants to write all the prime factors of 795 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 795 are 3, 5, 53.
So in exponential form it can be written as 3 x 5 x 53.

How many factors are there for 795?

Factors of 795 are 1, 3, 5, 15, 53, 159, 265, 795.
So there are in total 8 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 795? Help her in writing all the factors.

Positive factors are 1, 3, 5, 15, 53, 159, 265, 795.
Negative factors are -1, -3, -5, -15, -53, -159, -265, -795.

Can you help Rubel to find out the product of the even factors of 795?

Factors of 795 are 1, 3, 5, 15, 53, 159, 265, 795.
Even factors of 795 are 0.
Hence, product of even factors of 795 is; 0 = 0.