What are all the factors, the prime factorization, and factor pairs of 1168?

To find the factors of 1168, divide 1168 by each number starting with 1 and working up to 1168

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 1168 ?

To calculate the factors of 1168 , you can use the division method.

   1. Begin by dividing 1168 by the smallest possible number, which is 2.

   2. If the division is even, then 2 is a factor of 1168.

   3. Continue dividing 1168 by larger numbers until you find an odd number that does not divide evenly into 1168 .

   4. The numbers that divide evenly into 1168 are the factors of 1168 .

Now let us find how to calculate all the factors of One thousand one hundred sixty-eight :

    1168 ÷ 1 = 1168
    1168 ÷ 2 = 584
    1168 ÷ 4 = 292
    1168 ÷ 8 = 146
    1168 ÷ 16 = 73
    1168 ÷ 73 = 16
    1168 ÷ 146 = 8
    1168 ÷ 292 = 4
    1168 ÷ 584 = 2
    1168 ÷ 1168 = 1

As you can see, the factors of 1168 are 1 , 2 , 4 , 8 , 16 , 73 , 146 , 292 , 584 and 1168 .

How to Write Numbers in French Similar to 1168?

How many factors of 1168 are there ?

The factors of 1168 are the numbers that can evenly divide 1168 . These numbers are 1 , 2 , 4 , 8 , 16 , 73 , 146 , 292 , 584 and 1168.

Thus, there are a total of 10 factors of 1168

What are the factor pairs of 1168 ?

Factor Pairs of 1168 are combinations of two factors that when multiplied together equal 1168. There are many ways to calculate the factor pairs of 1168 .

One easy way is to list out the factors of 1168 :
   1 , 2 , 4 , 8 , 16 , 73 , 146 , 292 , 584 , 1168

Then, pair up the factors:
   (1,1168),(2,584),(4,292),(8,146) and (16,73) These are the factor pairs of 1168 .

Prime Factorisation of 1168

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 1168 using a factor tree, we would start by writing 1168 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 1168 would be 2 x 2 x 2 x 2 x 73.

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 1168 using this method, we keep dividing until it gives a non-zero remainder.

    1168 ÷ 2 = 584
    584 ÷ 2 = 292
    292 ÷ 2 = 146
    146 ÷ 2 = 73
    73 ÷ 73 = 1

So the prime factors of 1168 are 2 x 2 x 2 x 2 x 73.

Frequently Asked Questions on Factors

What are all the factors of 1168 ?

The factors of 1168 are 1 , 2 , 4 , 8 , 16 , 73 , 146 , 292 , 584 and 1168.

What is the prime factorization of 1168 ?

The prime factorization of 1168 is 2 x 2 x 2 x 2 x 73 or 24 x 731, where 2 , 73 are the prime numbers .

What are the prime factors of 1168 ?

The prime factors of 1168 are 2 , 73 .

Is 1168 a prime number ?

A prime number is a number that has only two factors 1 and itself.
1168 it is not a prime number because it has the factors 1 , 2 , 4 , 8 , 16 , 73 , 146 , 292 , 584 and 1168.

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