Find the prime factorization of the number. 288
A) $4 ^ { 4 } \cdot 3 ^ { 2 }$
B) $5 ^ { 2 } \cdot 2 ^ { 7 } \cdot 3 ^ { 2 }$
C) $2 ^ { 5 } \cdot 3 ^ { 2 }$
D) $2 ^ { 2 } \cdot 3 ^ { 5 }$
E) $2 ^ { 5 } \cdot 3 ^ { 3 }$

Question

Quizplus · Accepted Answer

The prime factorization of 288 is $2^5 \cdot 3^2$, which breaks down as follows: $288 = 2 \cdot 144 = 2^2 \cdot 72 = 2^3 \cdot 36 = 2^4 \cdot 18 = 2^5 \cdot 9 = 2^5 \cdot 3^2$.

Find the Prime Factorization of the Number 44⋅324 ^ { 4 } \cdot 3 ^ { 2 }44⋅32

Find the Prime Factorization of the Number $4 ^ { 4 } \cdot 3 ^ { 2 }$