Find the prime factorization of the number 440 .
A) 4 ⋅ 275
B) 8 ⋅ 5 ⋅ 11
C) 2 ⋅ 4 ⋅ 121
D) 2 ⋅ 2 ⋅ 5 ⋅ 5 ⋅ 11
E) 2 ⋅ 2 ⋅ 2 ⋅ 5 ⋅ 11

Question

Find the prime factorization of the number 440 . ​
A) 4 ⋅ 275
B) 8 ⋅ 5 ⋅ 11
C) 2 ⋅ 4 ⋅ 121
D) 2 ⋅ 2 ⋅ 5 ⋅ 5 ⋅ 11
E) 2 ⋅ 2 ⋅ 2 ⋅ 5 ⋅ 11

Quizplus · Accepted Answer

The prime factorization of 440 is found by dividing the number by its smallest prime factor and continuing the process with the quotient until only prime numbers are left. 440 can be divided by 2 (the smallest prime number) to get 220, then 220 can be divided by 2 again to get 110, and 110 can be divided by 2 once more to get 55. Finally, 55 can be divided by 5 to get 11, which is a prime number. So, the prime factorization of 440 is 2 ⋅ 2 ⋅ 2 ⋅ 5 ⋅ 11.

Find the Prime Factorization of the Number 440