What is 27 as a prime factor
Answers
Answer:
Step-by-step explanation:A:
The prime factors are: 3 x 3 x 3
or also written as { 3, 3, 3 }
Written in exponential form: 33
Why is the prime factorization of 27 written as 33?
What is prime factorization?
Prime factorization or prime factor decomposition is the process of finding which prime numbers can be multiplied together to make the original number.
Finding the prime factors of 27
To find the prime factors, you start by dividing the number by the first prime number, which is 2. If there is not a remainder, meaning you can divide evenly, then 2 is a factor of the number. Continue dividing by 2 until you cannot divide evenly anymore. Write down how many 2's you were able to divide by evenly. Now try dividing by the next prime factor, which is 3. The goal is to get to a quotient of 1.
If it doesn't make sense yet, let's try it...
Here are the first several prime factors: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29...
Let's start by dividing 27 by 2
27 ÷ 2 = 13.5 - This has a remainder. Let's try another prime number.
27 ÷ 3 = 9 - No remainder! 3 is one of the factors!
9 ÷ 3 = 3 - No remainder! 3 is one of the factors!
3 ÷ 3 = 1 - No remainder! 3 is one of the factors!
The orange divisor(s) above are the prime factors of the number 27. If we put all of it together we have the factors 3 x 3 x 3 = 27. It can also be written in exponential form as 33.
Factor Tree
Another way to do prime factorization is to use a factor tree. Below is a factor tree for the number 27.
27
Factor Arrows
3 9
Factor Arrows
3 3
Answer:
27 is a composite number. 27 = 1 x 27, or 3x9. factors of 27: 1,3,9,27. Prime factorization: 27=3x3x3, which can also be written 27=3.