# Factors of 508

Factors of 508 are 1, 2, 4, 127, 254, and 508

#### How to find factors of a number

 1.   Find factors of 508 using Division Method 2.   Find factors of 508 using Prime Factorization 3.   Find factors of 508 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 508

• Divide 508 by 1: 508 ÷ 1 : Remainder = 0
• Divide 508 by 2: 508 ÷ 2 : Remainder = 0
• Divide 508 by 4: 508 ÷ 4 : Remainder = 0
• Divide 508 by 127: 508 ÷ 127 : Remainder = 0
• Divide 508 by 254: 508 ÷ 254 : Remainder = 0
• Divide 508 by 508: 508 ÷ 508 : Remainder = 0

Hence, Factors of 508 are 1, 2, 4, 127, 254, and 508

#### 2. Steps to find factors of 508 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 508 using the division method, follow these steps:

• Step 1. Start dividing 508 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 508, which is 2. Divide 508 by 2 to obtain the quotient (254).
508 ÷ 2 = 254
• Step 3. Repeat step 1 with the obtained quotient (254).
254 ÷ 2 = 127
127 ÷ 127 = 1

So, the prime factorization of 508 is, 508 = 2 x 2 x 127.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 508 as shown below:

So, the prime factorization of 508 is, 508 = 2 x 2 x 127.

#### 3. Find factors of 508 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 508 would be the two numbers which, when multiplied, give 508 as the result.

The following table represents the calculation of factors of 508 in pairs:

Factor Pair Pair Factorization
1 and 508 1 x 508 = 508
2 and 254 2 x 254 = 508
4 and 127 4 x 127 = 508

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 508. They are called negative pair factors.

Hence, the negative pairs of 508 would be ( -1 , -508 ) , ( -2 , -254 ) and ( -4 , -127 ) .

#### What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 508 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 508.
• Every number is a factor of zero (0), since 508 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, 2, 4, 127, 254, 508 are exact divisors of 508.
• Factors of 508 are 1, 2, 4, 127, 254, 508. Each factor divides 508 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 127, 254, 508 are all less than or equal to 508.

• Is 508 a perfect square?

No 508 is not a perfect square.

• What are factors of 508?

Factors of 508 are 1, 2, 4, 127, 254, 508.

• Which is greatest factor of 508?

The greatest factor of 508 is 254.

• What is the sum of all factors of 508?

The sum of all factors of 508 is 896.

• What are multiples of 508?

First five multiples of 508 are 1016, 1524, 2032, 2540.

• What is the greatest prime factors of 508?

The greatest prime factor of 508 is 127.

• What are six multiples of 508?

First five multiples of 508 are 1016, 1524, 2032, 2540, 3048, 3556.

• What is prime factorization of 508?

Prime factorization of 508 is 2 x 2 x 127.

• Is 508 a whole number?

Yes 508 is a whole number.

#### Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 508? Help her in writing all the factors.

Positive factors are 1, 2, 4, 127, 254, 508.
Negative factors are -1, -2, -4, -127, -254, -508.

Can you help Sammy find out the product of the odd factors of 508?

Factors of 508 are 1, 2, 4, 127, 254, 508.
Odd factors of 508 are 1, 127.
Hence product of odd factors of 508 is; 1 x 127 = 127.

Joey wants to write all the prime factors of 508 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 508 are 2, 2, 127.
So in exponential form it can be written as 22 x 127.

How many factors are there for 508?

Factors of 508 are 1, 2, 4, 127, 254, 508.
So there are in total 6 factors.

Kevin has been asked to write 5 factor(s) of 508. Can you predict the answer?

5 factor(s) of 508 are 1, 2, 4, 127, 254.

Sammy is puzzled while calculating the prime factors of 508. Can you help him find them?

Factors of 508 are 1, 2, 4, 127, 254, 508.
Prime factors of 508 are 2, 2, 127

What is prime factorization of 508?

Prime factorization of 508 is 2 x 2 x 127 = 22 x 127.