# Factors of 502

Factors of 502 are 1, 2, 251, and 502

#### How to find factors of a number

 1.   Find factors of 502 using Division Method 2.   Find factors of 502 using Prime Factorization 3.   Find factors of 502 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 502

• Divide 502 by 1: 502 ÷ 1 : Remainder = 0
• Divide 502 by 2: 502 ÷ 2 : Remainder = 0
• Divide 502 by 251: 502 ÷ 251 : Remainder = 0
• Divide 502 by 502: 502 ÷ 502 : Remainder = 0

Hence, Factors of 502 are 1, 2, 251, and 502

#### 2. Steps to find factors of 502 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 502 using the division method, follow these steps:

• Step 1. Start dividing 502 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 502, which is 2. Divide 502 by 2 to obtain the quotient (251).
502 ÷ 2 = 251
• Step 3. Repeat step 1 with the obtained quotient (251).
251 ÷ 251 = 1

So, the prime factorization of 502 is, 502 = 2 x 251.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 502 as shown below:

So, the prime factorization of 502 is, 502 = 2 x 251.

#### 3. Find factors of 502 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 502 would be the two numbers which, when multiplied, give 502 as the result.

The following table represents the calculation of factors of 502 in pairs:

Factor Pair Pair Factorization
1 and 502 1 x 502 = 502
2 and 251 2 x 251 = 502

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 502. They are called negative pair factors.

Hence, the negative pairs of 502 would be ( -1 , -502 ) , ( -2 , -251 ) .

#### How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 502 is a factor of itself.
• 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, 251, 502 are exact divisors of 502.
• 1 is a factor of every number. Eg. 1 is a factor of 502.
• Every number is a factor of zero (0), since 502 x 0 = 0.

• Which is the smallest prime factor of 502?

The smallest prime factor of 502 is 2.

• Is 502 a whole number?

Yes 502 is a whole number.

• What are the prime factors of 502?

The factors of 502 are 1, 2, 251, 502.
Prime factors of 502 are 2, 251.

• What two numbers make 502?

Two numbers that make 502 are 2 and 251.

• What are multiples of 502?

First five multiples of 502 are 1004, 1506, 2008, 2510.

• What is the sum of all factors of 502?

The sum of all factors of 502 is 756.

• What are five multiples of 502?

First five multiples of 502 are 1004, 1506, 2008, 2510, 3012.

• Is 502 a perfect square?

No 502 is not a perfect square.

• What is the greatest prime factors of 502?

The greatest prime factor of 502 is 251.

#### Examples of Factors

How many factors are there for 502?

Factors of 502 are 1, 2, 251, 502.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 502. Can you predict the answer?

3 factor(s) of 502 are 1, 2, 251.

Sammy is puzzled while calculating the prime factors of 502. Can you help him find them?

Factors of 502 are 1, 2, 251, 502.
Prime factors of 502 are 2, 251

What is prime factorization of 502?

Prime factorization of 502 is 2 x 251 = 2 x 251.

Ariel has been assigned the task to find the product of all the prime factors of 502. Can you help her?

Prime factors of 502 are 2, 251.
Hence, the product of prime factors of 502.

Can you help Rubel to find out the product of the even factors of 502?

Factors of 502 are 1, 2, 251, 502.
Even factors of 502 are 2, 502.
Hence, product of even factors of 502 is; 2 x 502 = 1004.

Joy wants to calculate mean of all the factors of 502. Help him in finding the mean of 502.

Factors of 502 are 1, 2, 251, 502.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 502 is 1 + 2 + 251 + 502 = 756.
Hence, the mean of factors of 502 is 756 ÷ 4 = 189.00.