# Factors of 255

Factors of 255 are 1, 3, 5, 15, 17, 51, 85, and 255

#### How to find factors of a number

 1.   Find factors of 255 using Division Method 2.   Find factors of 255 using Prime Factorization 3.   Find factors of 255 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 255

• Divide 255 by 1: 255 ÷ 1 : Remainder = 0
• Divide 255 by 3: 255 ÷ 3 : Remainder = 0
• Divide 255 by 5: 255 ÷ 5 : Remainder = 0
• Divide 255 by 15: 255 ÷ 15 : Remainder = 0
• Divide 255 by 17: 255 ÷ 17 : Remainder = 0
• Divide 255 by 51: 255 ÷ 51 : Remainder = 0
• Divide 255 by 85: 255 ÷ 85 : Remainder = 0
• Divide 255 by 255: 255 ÷ 255 : Remainder = 0

Hence, Factors of 255 are 1, 3, 5, 15, 17, 51, 85, and 255

#### 2. Steps to find factors of 255 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 255 using the division method, follow these steps:

• Step 1. Start dividing 255 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 255, which is 3. Divide 255 by 3 to obtain the quotient (85).
255 ÷ 3 = 85
• Step 3. Repeat step 1 with the obtained quotient (85).
85 ÷ 5 = 17
17 ÷ 17 = 1

So, the prime factorization of 255 is, 255 = 3 x 5 x 17.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 255 as shown below:

So, the prime factorization of 255 is, 255 = 3 x 5 x 17.

#### 3. Find factors of 255 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 255 would be the two numbers which, when multiplied, give 255 as the result.

The following table represents the calculation of factors of 255 in pairs:

Factor Pair Pair Factorization
1 and 255 1 x 255 = 255
3 and 85 3 x 85 = 255
5 and 51 5 x 51 = 255
15 and 17 15 x 17 = 255

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 255. They are called negative pair factors.

Hence, the negative pairs of 255 would be ( -1 , -255 ) , ( -3 , -85 ) , ( -5 , -51 ) and ( -15 , -17 ) .

#### 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 255 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, 17, 51, 85, 255 are exact divisors of 255.
• Factors of 255 are 1, 3, 5, 15, 17, 51, 85, 255. Each factor divides 255 without leaving a remainder.

• What are the prime factors of 255?

The factors of 255 are 1, 3, 5, 15, 17, 51, 85, 255.
Prime factors of 255 are 3, 5, 17.

• What two numbers make 255?

Two numbers that make 255 are 3 and 85.

• What is the greatest prime factors of 255?

The greatest prime factor of 255 is 17.

• What are factors of 255?

Factors of 255 are 1, 3, 5, 15, 17, 51, 85, 255.

• How do you find factors of a negative number? ( eg. -255 )?

Factors of -255 are -1, -3, -5, -15, -17, -51, -85, -255.

• What are five multiples of 255?

First five multiples of 255 are 510, 765, 1020, 1275, 1530.

• Write some multiples of 255?

First five multiples of 255 are 510, 765, 1020, 1275.

• Is 255 a perfect square?

No 255 is not a perfect square.

• What two numbers make 255?

Two numbers that make 255 are 3 and 85.

#### Examples of Factors

What is prime factorization of 255?

Prime factorization of 255 is 3 x 5 x 17 = 3 x 5 x 17.

Sammy is puzzled while calculating the prime factors of 255. Can you help him find them?

Factors of 255 are 1, 3, 5, 15, 17, 51, 85, 255.
Prime factors of 255 are 3, 5, 17

Kevin has been asked to write 7 factor(s) of 255. Can you predict the answer?

7 factor(s) of 255 are 1, 3, 5, 15, 17, 51, 85.

Joey wants to write all the prime factors of 255 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 255 are 3, 5, 17.
So in exponential form it can be written as 3 x 5 x 17.

How many factors are there for 255?

Factors of 255 are 1, 3, 5, 15, 17, 51, 85, 255.
So there are in total 8 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 255? Help her in writing all the factors.

Positive factors are 1, 3, 5, 15, 17, 51, 85, 255.
Negative factors are -1, -3, -5, -15, -17, -51, -85, -255.

Can you help Rubel to find out the product of the even factors of 255?

Factors of 255 are 1, 3, 5, 15, 17, 51, 85, 255.
Even factors of 255 are 0.
Hence, product of even factors of 255 is; 0 = 0.