What are all the factors, the prime factorization, and factor pairs of 264?

To find the factors of 264, divide 264 by each number starting with 1 and working up to 264

What is a factor in math ?

Factors are the numbers you multiply together to get another number. For example, the factors of 15 are 3 and 5 because 3 × 5 = 15.

The factors of a number can be positive or negative, but they cannot be zero.

The factors of a number can be used to find out if the number is prime or not.

A prime number is a number that has only two factors: itself and 1. For example, the number 7 is prime because its only factors are 7 and 1.

List all of the factors of 264 ?

To calculate the factors of 264 , you can use the division method.

   1. Begin by dividing 264 by the smallest possible number, which is 2.

   2. If the division is even, then 2 is a factor of 264.

   3. Continue dividing 264 by larger numbers until you find an odd number that does not divide evenly into 264 .

   4. The numbers that divide evenly into 264 are the factors of 264 .

Now let us find how to calculate all the factors of Two hundred sixty-four :

    264 ÷ 1 = 264
    264 ÷ 2 = 132
    264 ÷ 3 = 88
    264 ÷ 4 = 66
    264 ÷ 6 = 44
    264 ÷ 8 = 33
    264 ÷ 11 = 24
    264 ÷ 12 = 22
    264 ÷ 22 = 12
    264 ÷ 24 = 11
    264 ÷ 33 = 8
    264 ÷ 44 = 6
    264 ÷ 66 = 4
    264 ÷ 88 = 3
    264 ÷ 132 = 2
    264 ÷ 264 = 1

As you can see, the factors of 264 are 1 , 2 , 3 , 4 , 6 , 8 , 11 , 12 , 22 , 24 , 33 , 44 , 66 , 88 , 132 and 264 .

How to Write Numbers in French Similar to 264?

How many factors of 264 are there ?

The factors of 264 are the numbers that can evenly divide 264 . These numbers are 1 , 2 , 3 , 4 , 6 , 8 , 11 , 12 , 22 , 24 , 33 , 44 , 66 , 88 , 132 and 264.

Thus, there are a total of 16 factors of 264

What are the factor pairs of 264 ?

Factor Pairs of 264 are combinations of two factors that when multiplied together equal 264. There are many ways to calculate the factor pairs of 264 .

One easy way is to list out the factors of 264 :
   1 , 2 , 3 , 4 , 6 , 8 , 11 , 12 , 22 , 24 , 33 , 44 , 66 , 88 , 132 , 264

Then, pair up the factors:
   (1,264),(2,132),(3,88),(4,66),(6,44),(8,33),(11,24) and (12,22) These are the factor pairs of 264 .

Prime Factorisation of 264

There are a few different methods that can be used to calculate the prime factorization of a number. Two of the most common methods are listed below.

1) Use a factor tree :

   1. Take the number you want to find the prime factorization of and write it at the top of the page

   2. Find the smallest number that goes into the number you are finding the prime factorization of evenly and write it next to the number you are finding the prime factorization of

   3. Draw a line under the number you just wrote and the number you are finding the prime factorization of

   4. Repeat step 2 with the number you just wrote until that number can no longer be divided evenly

   5. The numbers written on the lines will be the prime factors of the number you started with

For example, to calculate the prime factorization of 264 using a factor tree, we would start by writing 264 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 264 would be 2 x 2 x 2 x 3 x 11.

2) Use a factorization method :

There are a few different factorization methods that can be used to calculate the prime factorization of a number.

One common method is to start by dividing the number by the smallest prime number that will divide evenly into it.

Then, continue dividing the number by successively larger prime numbers until the number has been fully factorised.

For example, to calculate the prime factorization of 264 using this method, we keep dividing until it gives a non-zero remainder.

    264 ÷ 2 = 132
    132 ÷ 2 = 66
    66 ÷ 2 = 33
    33 ÷ 3 = 11
    11 ÷ 11 = 1

So the prime factors of 264 are 2 x 2 x 2 x 3 x 11.

Frequently Asked Questions on Factors

What are all the factors of 264 ?

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

What is the prime factorization of 264 ?

The prime factorization of 264 is 2 x 2 x 2 x 3 x 11 or 23 x 31 x 111, where 2 , 3 , 11 are the prime numbers .

What are the prime factors of 264 ?

The prime factors of 264 are 2 , 3 , 11 .

Is 264 a prime number ?

A prime number is a number that has only two factors 1 and itself.
264 it is not a prime number because it has the factors 1 , 2 , 3 , 4 , 6 , 8 , 11 , 12 , 22 , 24 , 33 , 44 , 66 , 88 , 132 and 264.

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