# Factors of 520

Factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, and 520

#### How to find factors of a number

 1.   Find factors of 520 using Division Method 2.   Find factors of 520 using Prime Factorization 3.   Find factors of 520 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 520

• Divide 520 by 1: 520 ÷ 1 : Remainder = 0
• Divide 520 by 2: 520 ÷ 2 : Remainder = 0
• Divide 520 by 4: 520 ÷ 4 : Remainder = 0
• Divide 520 by 5: 520 ÷ 5 : Remainder = 0
• Divide 520 by 8: 520 ÷ 8 : Remainder = 0
• Divide 520 by 10: 520 ÷ 10 : Remainder = 0
• Divide 520 by 13: 520 ÷ 13 : Remainder = 0
• Divide 520 by 20: 520 ÷ 20 : Remainder = 0
• Divide 520 by 26: 520 ÷ 26 : Remainder = 0
• Divide 520 by 40: 520 ÷ 40 : Remainder = 0
• Divide 520 by 52: 520 ÷ 52 : Remainder = 0
• Divide 520 by 65: 520 ÷ 65 : Remainder = 0
• Divide 520 by 104: 520 ÷ 104 : Remainder = 0
• Divide 520 by 130: 520 ÷ 130 : Remainder = 0
• Divide 520 by 260: 520 ÷ 260 : Remainder = 0
• Divide 520 by 520: 520 ÷ 520 : Remainder = 0

Hence, Factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, and 520

#### 2. Steps to find factors of 520 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 520 using the division method, follow these steps:

• Step 1. Start dividing 520 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 520, which is 2. Divide 520 by 2 to obtain the quotient (260).
520 ÷ 2 = 260
• Step 3. Repeat step 1 with the obtained quotient (260).
260 ÷ 2 = 130
130 ÷ 2 = 65
65 ÷ 5 = 13
13 ÷ 13 = 1

So, the prime factorization of 520 is, 520 = 2 x 2 x 2 x 5 x 13.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 520 as shown below:

So, the prime factorization of 520 is, 520 = 2 x 2 x 2 x 5 x 13.

#### 3. Find factors of 520 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 520 would be the two numbers which, when multiplied, give 520 as the result.

The following table represents the calculation of factors of 520 in pairs:

Factor Pair Pair Factorization
1 and 520 1 x 520 = 520
2 and 260 2 x 260 = 520
4 and 130 4 x 130 = 520
5 and 104 5 x 104 = 520
8 and 65 8 x 65 = 520
10 and 52 10 x 52 = 520
13 and 40 13 x 40 = 520
20 and 26 20 x 26 = 520

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 520. They are called negative pair factors.

Hence, the negative pairs of 520 would be ( -1 , -520 ) , ( -2 , -260 ) , ( -4 , -130 ) , ( -5 , -104 ) , ( -8 , -65 ) , ( -10 , -52 ) , ( -13 , -40 ) and ( -20 , -26 ) .

#### 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. 520 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 520.
• Every number is a factor of zero (0), since 520 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, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520 are exact divisors of 520.
• Factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520. Each factor divides 520 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520 are all less than or equal to 520.

• Which is the smallest prime factor of 520?

The smallest prime factor of 520 is 2.

• Is 520 a whole number?

Yes 520 is a whole number.

• What are the prime factors of 520?

The factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520.
Prime factors of 520 are 2, 2, 2, 5, 13.

• What two numbers make 520?

Two numbers that make 520 are 2 and 260.

• What are multiples of 520?

First five multiples of 520 are 1040, 1560, 2080, 2600.

• What is the sum of all factors of 520?

The sum of all factors of 520 is 1260.

• What are five multiples of 520?

First five multiples of 520 are 1040, 1560, 2080, 2600, 3120.

• Is 520 a perfect square?

No 520 is not a perfect square.

• What is the greatest prime factors of 520?

The greatest prime factor of 520 is 13.

#### Examples of Factors

How many factors are there for 520?

Factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520.
So there are in total 16 factors.

Kevin has been asked to write 15 factor(s) of 520. Can you predict the answer?

15 factor(s) of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260.

Sammy is puzzled while calculating the prime factors of 520. Can you help him find them?

Factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520.
Prime factors of 520 are 2, 2, 2, 5, 13

What is prime factorization of 520?

Prime factorization of 520 is 2 x 2 x 2 x 5 x 13 = 23 x 5 x 13.

Ariel has been assigned the task to find the product of all the prime factors of 520. Can you help her?

Prime factors of 520 are 2, 2, 2, 5, 13.
Hence, the product of prime factors of 130.

Can you help Rubel to find out the product of the even factors of 520?

Factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520.
Even factors of 520 are 2, 4, 8, 10, 20, 26, 40, 52, 104, 130, 260, 520.
Hence, product of even factors of 520 is; 2 x 4 x 8 x 10 x 20 x 26 x 40 x 52 x 104 x 130 x 260 x 520 = 1265319018496000000.

Joy wants to calculate mean of all the factors of 520. Help him in finding the mean of 520.

Factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 520 is 1 + 2 + 4 + 5 + 8 + 10 + 13 + 20 + 26 + 40 + 52 + 65 + 104 + 130 + 260 + 520 = 1260.
Hence, the mean of factors of 520 is 1260 ÷ 16 = 78.75.