Question

What is the prime factorization of 108

Answer 1

☆What is the prime factorization of 108?

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

$108 \div 2 = 54$

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

$54 \div 2 = 27$

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

★ Prime number collection: 2, 2

$27 \div 3 = 9$

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

$9 \div 3 = 3$

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".

$2 \times 2 \times 3 \times 3 \times 3$