# Factors of 264

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

#### How to find factors of a number

 1.   Find factors of 264 using Division Method 2.   Find factors of 264 using Prime Factorization 3.   Find factors of 264 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 264

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

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

#### 2. Steps to find factors of 264 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 264 using the division method, follow these steps:

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

So, the prime factorization of 264 is, 264 = 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 264 as shown below:

So, the prime factorization of 264 is, 264 = 2 x 2 x 2 x 3 x 11.

#### 3. Find factors of 264 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 264 would be the two numbers which, when multiplied, give 264 as the result.

The following table represents the calculation of factors of 264 in pairs:

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

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 264. They are called negative pair factors.

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

#### How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 264 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 264.
• Every number is a factor of zero (0), since 264 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, 22, 24, 33, 44, 66, 88, 132, 264 are exact divisors of 264.
• Factors of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264. Each factor divides 264 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, 22, 24, 33, 44, 66, 88, 132, 264 are all less than or equal to 264.

• What are the prime factors of 264?

The factors of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264.
Prime factors of 264 are 2, 2, 2, 3, 11.

• What two numbers make 264?

Two numbers that make 264 are 2 and 132.

• What is the greatest prime factors of 264?

The greatest prime factor of 264 is 11.

• What are factors of 264?

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

• How do you find factors of a negative number? ( eg. -264 )?

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

• What are five multiples of 264?

First five multiples of 264 are 528, 792, 1056, 1320, 1584.

• Write some multiples of 264?

First five multiples of 264 are 528, 792, 1056, 1320.

• Is 264 a perfect square?

No 264 is not a perfect square.

• What two numbers make 264?

Two numbers that make 264 are 2 and 132.

#### Examples of Factors

What is prime factorization of 264?

Prime factorization of 264 is 2 x 2 x 2 x 3 x 11 = 23 x 3 x 11.

Sammy is puzzled while calculating the prime factors of 264. Can you help him find them?

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

Kevin has been asked to write 15 factor(s) of 264. Can you predict the answer?

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

Joey wants to write all the prime factors of 264 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 264 are 2, 2, 2, 3, 11.
So in exponential form it can be written as 23 x 3 x 11.

How many factors are there for 264?

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

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 264? Help her in writing all the factors.

Positive factors are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264.
Negative factors are -1, -2, -3, -4, -6, -8, -11, -12, -22, -24, -33, -44, -66, -88, -132, -264.

Can you help Rubel to find out the product of the even factors of 264?

Factors of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264.
Even factors of 264 are 2, 4, 6, 8, 12, 22, 24, 44, 66, 88, 132, 264.
Hence, product of even factors of 264 is; 2 x 4 x 6 x 8 x 12 x 22 x 24 x 44 x 66 x 88 x 132 x 264 = 21667237072994304.