58.3k views
1 vote
What is the prime factorization of 135?
32x52
3x5x9
3x53
0335

What is the prime factorization of 135? 32x52 3x5x9 3x53 0335-example-1

2 Answers

3 votes

Answer:

3^3 × 5 [Fourth option, bottom one]

Explanation:

First, 3^2 × 5^2 cannot be correct because although 3, and 5 are prime numbers 3^2 × 5^2 ≠ 135 as 3^2 × 5^2 = 225.

Second, 3 × 5 × 9 can't be right because although 3 × 5 × 9 = 135, 9 is not a prime number.

Third, 3 × 5^3 is not correct because although 3 and 5 are prime numbers, 3 × 5^3 ≠ 135 as 3 × 5^3 = 375.

The last question must be correct because it is the only remaining choice answer. Plus 3 and 5 are both prime numbers, and 3^3 × 5 = 135, 3^3 × 5 = 3 × 3 × 3 × 5 = 27 × 5 = 135.

User Alex Paulino
by
5.0k points
5 votes

Answer: fourth option (3² × 5)

Step-by-step explanation: The prime factorization of 135 is (3² × 5) because:

3 x 3 x 3 = 27

27 x 5 = 135

The answer to the question is (3² × 5).

User Cedrics
by
5.2k points