# Factors of 528

Factors of 528 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, and 528

#### How to find factors of a number

 1.   Find factors of 528 using Division Method 2.   Find factors of 528 using Prime Factorization 3.   Find factors of 528 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 528

• Divide 528 by 1: 528 ÷ 1 : Remainder = 0
• Divide 528 by 2: 528 ÷ 2 : Remainder = 0
• Divide 528 by 3: 528 ÷ 3 : Remainder = 0
• Divide 528 by 4: 528 ÷ 4 : Remainder = 0
• Divide 528 by 6: 528 ÷ 6 : Remainder = 0
• Divide 528 by 8: 528 ÷ 8 : Remainder = 0
• Divide 528 by 11: 528 ÷ 11 : Remainder = 0
• Divide 528 by 12: 528 ÷ 12 : Remainder = 0
• Divide 528 by 16: 528 ÷ 16 : Remainder = 0
• Divide 528 by 22: 528 ÷ 22 : Remainder = 0
• Divide 528 by 24: 528 ÷ 24 : Remainder = 0
• Divide 528 by 33: 528 ÷ 33 : Remainder = 0
• Divide 528 by 44: 528 ÷ 44 : Remainder = 0
• Divide 528 by 48: 528 ÷ 48 : Remainder = 0
• Divide 528 by 66: 528 ÷ 66 : Remainder = 0
• Divide 528 by 88: 528 ÷ 88 : Remainder = 0
• Divide 528 by 132: 528 ÷ 132 : Remainder = 0
• Divide 528 by 176: 528 ÷ 176 : Remainder = 0
• Divide 528 by 264: 528 ÷ 264 : Remainder = 0
• Divide 528 by 528: 528 ÷ 528 : Remainder = 0

Hence, Factors of 528 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, and 528

#### 2. Steps to find factors of 528 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 528 using the division method, follow these steps:

• Step 1. Start dividing 528 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 528, which is 2. Divide 528 by 2 to obtain the quotient (264).
528 ÷ 2 = 264
• Step 3. Repeat step 1 with the obtained quotient (264).
264 ÷ 2 = 132
132 ÷ 2 = 66
66 ÷ 2 = 33
33 ÷ 3 = 11
11 ÷ 11 = 1

So, the prime factorization of 528 is, 528 = 2 x 2 x 2 x 2 x 3 x 11.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 528 as shown below:

So, the prime factorization of 528 is, 528 = 2 x 2 x 2 x 2 x 3 x 11.

#### 3. Find factors of 528 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 528 would be the two numbers which, when multiplied, give 528 as the result.

The following table represents the calculation of factors of 528 in pairs:

Factor Pair Pair Factorization
1 and 528 1 x 528 = 528
2 and 264 2 x 264 = 528
3 and 176 3 x 176 = 528
4 and 132 4 x 132 = 528
6 and 88 6 x 88 = 528
8 and 66 8 x 66 = 528
11 and 48 11 x 48 = 528
12 and 44 12 x 44 = 528
16 and 33 16 x 33 = 528
22 and 24 22 x 24 = 528

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 528. They are called negative pair factors.

Hence, the negative pairs of 528 would be ( -1 , -528 ) , ( -2 , -264 ) , ( -3 , -176 ) , ( -4 , -132 ) , ( -6 , -88 ) , ( -8 , -66 ) , ( -11 , -48 ) , ( -12 , -44 ) , ( -16 , -33 ) and ( -22 , -24 ) .

#### 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. 528 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 528.
• Every number is a factor of zero (0), since 528 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, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528 are exact divisors of 528.
• Factors of 528 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528. Each factor divides 528 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528 are all less than or equal to 528.

• How do you find factors of a negative number? ( eg. -528 )?

Factors of -528 are -1, -2, -3, -4, -6, -8, -11, -12, -16, -22, -24, -33, -44, -48, -66, -88, -132, -176, -264, -528.

• What is the sum of all factors of 528?

The sum of all factors of 528 is 1488.

• What is prime factorization of 528?

Prime factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11.

• What are the pair factors of 528?

Pair factors of 528 are (1,528), (2,264), (3,176), (4,132), (6,88), (8,66), (11,48), (12,44), (16,33), (22,24).

• What are six multiples of 528?

First five multiples of 528 are 1056, 1584, 2112, 2640, 3168, 3696.

• Is 528 a whole number?

Yes 528 is a whole number.

• Which is the smallest prime factor of 528?

Smallest prime factor of 528 is 2.

• What are five multiples of 528?

First five multiples of 528 are 1056, 1584, 2112, 2640, 3168.

• Write all factors of 528?

Factors of 528 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528.

#### Examples of Factors

Joey wants to write all the prime factors of 528 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 528 are 2, 2, 2, 2, 3, 11.
So in exponential form it can be written as 24 x 3 x 11.

How many factors are there for 528?

Factors of 528 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528.
So there are in total 20 factors.

Kevin has been asked to write 19 factor(s) of 528. Can you predict the answer?

19 factor(s) of 528 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264.

Sammy is puzzled while calculating the prime factors of 528. Can you help him find them?

Factors of 528 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528.
Prime factors of 528 are 2, 2, 2, 2, 3, 11

What is prime factorization of 528?

Prime factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11 = 24 x 3 x 11.

Ariel has been assigned the task to find the product of all the prime factors of 528. Can you help her?

Prime factors of 528 are 2, 2, 2, 2, 3, 11.
Hence, the product of prime factors of 66.

Can you help Rubel to find out the product of the even factors of 528?

Factors of 528 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528.
Even factors of 528 are 2, 4, 6, 8, 12, 16, 22, 24, 44, 48, 66, 88, 132, 176, 264, 528.
Hence, product of even factors of 528 is; 2 x 4 x 6 x 8 x 12 x 16 x 22 x 24 x 44 x 48 x 66 x 88 x 132 x 176 x 264 x 528 = 1.546362629160357e+24.