A: The prime components are: 3 x 11 or additionally written together 3, 11 created in exponential form: 31 x 111


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Why is the prime factorization the 33 created as 31 x 111?

What is element factorization?

Prime factorization or prime factor decomposition is the process of recognize which prime numbers can be multiplied together to make the initial number.

Finding the prime factors of 33

To find the element factors, you begin by separating the number by the an initial prime number, i m sorry is 2. If there is not a remainder, meaning you can divide evenly, climate 2 is a element of the number. Continue dividing by 2 till you cannot division evenly anymore. Create down how many 2"s you were able to division by evenly. Now try dividing through the following prime factor, i beg your pardon is 3. The score is to acquire to a quotient of 1.


If that doesn"t make feeling yet, let"s try it...

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

Let"s begin by dividing 33 by 2

33 ÷ 2 = 16.5 - This has a remainder. Let"s try another element number.33 ÷ 3 = 11 - No remainder! 3 is just one of the factors!11 ÷ 3 = 3.6667 - over there is a remainder. We can"t division by 3 evenly anymore. Let"s shot the next prime number11 ÷ 5 = 2.2 - This has actually a remainder. 5 is not a factor.11 ÷ 7 = 1.5714 - This has a remainder. 7 is no a factor.11 ÷ 11 = 1 - No remainder! 11 is among the factors!

The orange divisor(s) over are the prime determinants of the number 33. If we put every one of it with each other we have actually the components 3 x 11 = 33. That can also be created in exponential form as 31 x 111.

Factor Tree

Another method to do prime factorization is to usage a element tree. Below is a aspect tree because that the number 33.

33
*
311

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