What are all the factors, the prime factorization, and factor pairs of 312?

To find the factors of 312, divide 312 by each number starting with 1 and working up to 312

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 312 ?

To calculate the factors of 312 , you can use the division method.

   1. Begin by dividing 312 by the smallest possible number, which is 2.

   2. If the division is even, then 2 is a factor of 312.

   3. Continue dividing 312 by larger numbers until you find an odd number that does not divide evenly into 312 .

   4. The numbers that divide evenly into 312 are the factors of 312 .

Now let us find how to calculate all the factors of Three hundred twelve :

    312 ÷ 1 = 312
    312 ÷ 2 = 156
    312 ÷ 3 = 104
    312 ÷ 4 = 78
    312 ÷ 6 = 52
    312 ÷ 8 = 39
    312 ÷ 12 = 26
    312 ÷ 13 = 24
    312 ÷ 24 = 13
    312 ÷ 26 = 12
    312 ÷ 39 = 8
    312 ÷ 52 = 6
    312 ÷ 78 = 4
    312 ÷ 104 = 3
    312 ÷ 156 = 2
    312 ÷ 312 = 1

As you can see, the factors of 312 are 1 , 2 , 3 , 4 , 6 , 8 , 12 , 13 , 24 , 26 , 39 , 52 , 78 , 104 , 156 and 312 .

How to Write Numbers in French Similar to 312?

How many factors of 312 are there ?

The factors of 312 are the numbers that can evenly divide 312 . These numbers are 1 , 2 , 3 , 4 , 6 , 8 , 12 , 13 , 24 , 26 , 39 , 52 , 78 , 104 , 156 and 312.

Thus, there are a total of 16 factors of 312

What are the factor pairs of 312 ?

Factor Pairs of 312 are combinations of two factors that when multiplied together equal 312. There are many ways to calculate the factor pairs of 312 .

One easy way is to list out the factors of 312 :
   1 , 2 , 3 , 4 , 6 , 8 , 12 , 13 , 24 , 26 , 39 , 52 , 78 , 104 , 156 , 312

Then, pair up the factors:
   (1,312),(2,156),(3,104),(4,78),(6,52),(8,39),(12,26) and (13,24) These are the factor pairs of 312 .

Prime Factorisation of 312

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 312 using a factor tree, we would start by writing 312 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 312 would be 2 x 2 x 2 x 3 x 13.

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

    312 ÷ 2 = 156
    156 ÷ 2 = 78
    78 ÷ 2 = 39
    39 ÷ 3 = 13
    13 ÷ 13 = 1

So the prime factors of 312 are 2 x 2 x 2 x 3 x 13.

Frequently Asked Questions on Factors

What are all the factors of 312 ?

The factors of 312 are 1 , 2 , 3 , 4 , 6 , 8 , 12 , 13 , 24 , 26 , 39 , 52 , 78 , 104 , 156 and 312.

What is the prime factorization of 312 ?

The prime factorization of 312 is 2 x 2 x 2 x 3 x 13 or 23 x 31 x 131, where 2 , 3 , 13 are the prime numbers .

What are the prime factors of 312 ?

The prime factors of 312 are 2 , 3 , 13 .

Is 312 a prime number ?

A prime number is a number that has only two factors 1 and itself.
312 it is not a prime number because it has the factors 1 , 2 , 3 , 4 , 6 , 8 , 12 , 13 , 24 , 26 , 39 , 52 , 78 , 104 , 156 and 312.

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