# Factors of 500

Factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, and 500

#### How to find factors of a number

 1.   Find factors of 500 using Division Method 2.   Find factors of 500 using Prime Factorization 3.   Find factors of 500 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 500

• Divide 500 by 1: 500 ÷ 1 : Remainder = 0
• Divide 500 by 2: 500 ÷ 2 : Remainder = 0
• Divide 500 by 4: 500 ÷ 4 : Remainder = 0
• Divide 500 by 5: 500 ÷ 5 : Remainder = 0
• Divide 500 by 10: 500 ÷ 10 : Remainder = 0
• Divide 500 by 20: 500 ÷ 20 : Remainder = 0
• Divide 500 by 25: 500 ÷ 25 : Remainder = 0
• Divide 500 by 50: 500 ÷ 50 : Remainder = 0
• Divide 500 by 100: 500 ÷ 100 : Remainder = 0
• Divide 500 by 125: 500 ÷ 125 : Remainder = 0
• Divide 500 by 250: 500 ÷ 250 : Remainder = 0
• Divide 500 by 500: 500 ÷ 500 : Remainder = 0

Hence, Factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, and 500

#### 2. Steps to find factors of 500 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 500 using the division method, follow these steps:

• Step 1. Start dividing 500 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 500, which is 2. Divide 500 by 2 to obtain the quotient (250).
500 ÷ 2 = 250
• Step 3. Repeat step 1 with the obtained quotient (250).
250 ÷ 2 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1

So, the prime factorization of 500 is, 500 = 2 x 2 x 5 x 5 x 5.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 500 as shown below:

So, the prime factorization of 500 is, 500 = 2 x 2 x 5 x 5 x 5.

#### 3. Find factors of 500 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 500 would be the two numbers which, when multiplied, give 500 as the result.

The following table represents the calculation of factors of 500 in pairs:

Factor Pair Pair Factorization
1 and 500 1 x 500 = 500
2 and 250 2 x 250 = 500
4 and 125 4 x 125 = 500
5 and 100 5 x 100 = 500
10 and 50 10 x 50 = 500
20 and 25 20 x 25 = 500

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 500. They are called negative pair factors.

Hence, the negative pairs of 500 would be ( -1 , -500 ) , ( -2 , -250 ) , ( -4 , -125 ) , ( -5 , -100 ) , ( -10 , -50 ) and ( -20 , -25 ) .

#### 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

• Each number is a factor of itself. Eg. 500 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 500.
• Every number is a factor of zero (0), since 500 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, 5, 10, 20, 25, 50, 100, 125, 250, 500 are exact divisors of 500.
• Factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500. Each factor divides 500 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500 are all less than or equal to 500.

• What are the pair factors of 500?

Pair factors of 500 are (1,500), (2,250), (4,125), (5,100), (10,50), (20,25).

• What are five multiples of 500?

First five multiples of 500 are 1000, 1500, 2000, 2500, 3000.

• What two numbers make 500?

Two numbers that make 500 are 2 and 250.

• What is the sum of all factors of 500?

The sum of all factors of 500 is 1092.

• What are factors of -500?

Factors of -500 are -1, -2, -4, -5, -10, -20, -25, -50, -100, -125, -250, -500.

• What are factors of 500?

Factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500.

• Is 500 a perfect square?

No 500 is not a perfect square.

• Which is the smallest prime factor of 500?

Smallest prime factor of 500 is 2.

• Which is greatest factor of 500?

The greatest factor of 500 is 250.

#### Examples of Factors

Can you help Sammy find out the product of the odd factors of 500?

Factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500.
Odd factors of 500 are 1, 5, 25, 125.
Hence product of odd factors of 500 is; 1 x 5 x 25 x 125 = 15625.

Joey wants to write all the prime factors of 500 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 500 are 2, 2, 5, 5, 5.
So in exponential form it can be written as 22 x 53.

How many factors are there for 500?

Factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500.
So there are in total 12 factors.

Kevin has been asked to write 11 factor(s) of 500. Can you predict the answer?

11 factor(s) of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250.

Sammy is puzzled while calculating the prime factors of 500. Can you help him find them?

Factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500.
Prime factors of 500 are 2, 2, 5, 5, 5

What is prime factorization of 500?

Prime factorization of 500 is 2 x 2 x 5 x 5 x 5 = 22 x 53.

Can you help Rubel to find out the product of the even factors of 500?

Factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500.
Even factors of 500 are 2, 4, 10, 20, 50, 100, 250, 500.
Hence, product of even factors of 500 is; 2 x 4 x 10 x 20 x 50 x 100 x 250 x 500 = 1000000000000.