179k views
3 votes
What is the prime factorization of 108

1 Answer

3 votes

What is the prime factorization of 108?

To find the prime factorization, first divide 108 by 2.


108 / 2 = 54

You have 2 numbers: 54 and 2. 2 is a prime number and 54 isn't. Divide 54 by 2 until every factor of 54 is prime.

★ Prime number collection: 2


54 / 2 = 27

Add 2 to the "prime number collection". Divide 27 by factors until every factor you find is prime.

★ Prime number collection: 2, 2


27 / 3 = 9

Add 3 to the "prime number collection". Divide 9 by a factor of it to find more prime numbers.

★ Prime number collection: 2, 2, 3


9 / 3 = 3

The two 3's are prime. No more dividing! Add those to the "prime number collection".

★ Prime number collection: 2, 2, 3, 3, 3

Multiply all the numbers in your "prime number collection".


2 * 2 * 3 * 3 * 3

User Ajith Deivam
by
6.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.