A: The prime determinants are: 3 x 31 or also written as 3, 31 created in exponential form: 31 x 311

## Why is the element factorization that 93 created as 31 x 311?

### What is prime factorization?

Prime factorization or prime factor decomposition is the procedure of finding which element numbers can be multiplied with each other to make the initial number.

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### Finding the prime components of 93

To find the prime factors, you begin by dividing the number through the an initial prime number, i beg your pardon is 2. If over there is not a remainder, definition you can divide evenly, then 2 is a variable of the number. Proceed dividing through 2 till you cannot divide evenly anymore. Compose down how many 2"s you to be able to division by evenly. Now shot dividing by the next prime factor, i m sorry is 3. The goal is to get to a quotient that 1.

If the doesn"t make sense yet, let"s shot it...

Here are the very first several prime factors: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29...

Let"s begin by separating 93 through 2

93 ÷ 2 = 46.5 - This has actually a remainder. Let"s shot another element number.93 ÷ 3 = 31 - No remainder! 3 is one of the factors!31 ÷ 3 = 10.3333 - there is a remainder. We can"t divide by 3 same anymore. Let"s try the following prime number31 ÷ 5 = 6.2 - This has actually a remainder. 5 is not a factor.31 ÷ 7 = 4.4286 - This has actually a remainder. 7 is no a factor.31 ÷ 11 = 2.8182 - This has actually a remainder. 11 is no a factor....Keep trying increasingly larger numbers till you discover one the divides evenly.

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...31 ÷ 31 = 1 - No remainder! 31 is one of the factors!

The orange divisor(s) over are the prime components of the number 93. If us put all of it with each other we have the components 3 x 31 = 93. That can also be created in exponential form as 31 x 311.

### Factor Tree

Another way to perform prime administer is to use a aspect tree. Below is a factor tree because that the number 93.

 93 3 31

### More prime Factorization Examples

 91 92 94 95 71 x 131 22 x 231 21 x 471 51 x 191

try the variable calculator