Determine the prime factorization of the number.
-66
A) 3 ·3 ·2
B) 2 ·3 ·11
C) 2 ·2 ·11
D) 6 ·11

Question

Quizplus · Accepted Answer

66 can be factored into 2*3*11, and both 2, 3, and 11 are prime numbers. Therefore, the prime factorization of 66 is 2*3*11, which corresponds to choice B. The prime factorization of 66 can be found by dividing by prime numbers until we are left with only prime factors.

66 ÷ 2 = 33 
33 ÷ 3 = 11

Therefore, the prime factorization of 66 is 2 · 3 · 11. So, the best choice is B, since it matches the prime factorization.

Determine the Prime Factorization of the Number