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The number of distinct prime factors of 27
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12 Aug 2018, 15:57
12 Aug 2018, 15:57
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Expert Reply
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Question Stats:
86% (00:25) correct
13% (00:30) wrong based on 105 sessions
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Quantity A |
Quantity B |
The number of distinct prime factors of 27 |
The number of distinct prime factors of 18 |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Re: The number of distinct prime factors of 27
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15 Aug 2018, 05:13
15 Aug 2018, 05:13
Expert Reply
Explanation
“Distinct” means different from each other. To find distinct prime factors, make a prime factor tree, and then disregard any repeated prime factors. The integer 27 breaks down into 3 × 3 × 3.
Thus, 27 has only 1 distinct prime factor. The integer 18 breaks down into 2 × 3 × 3. Thus, 18 has 2 distinct prime factors.
Hence option B is correct!
“Distinct” means different from each other. To find distinct prime factors, make a prime factor tree, and then disregard any repeated prime factors. The integer 27 breaks down into 3 × 3 × 3.
Thus, 27 has only 1 distinct prime factor. The integer 18 breaks down into 2 × 3 × 3. Thus, 18 has 2 distinct prime factors.
Hence option B is correct!
Re: The number of distinct prime factors of 27
[#permalink]
26 Feb 2024, 03:49
26 Feb 2024, 03:49
1
The keyword is distinct.
Quantity A
The number of distinct prime factors of 27
The prime factorization of 27 = 3 x 3 x 3
The number of distinct prime factors of 27 is 1
Quantity B
The number of distinct prime factors of 18
The prime factorization of 18 = 2 x 3 x 3
The number of distinct prime factors of 18 are 2
The answer is B
Quantity A
The number of distinct prime factors of 27
The prime factorization of 27 = 3 x 3 x 3
The number of distinct prime factors of 27 is 1
Quantity B
The number of distinct prime factors of 18
The prime factorization of 18 = 2 x 3 x 3
The number of distinct prime factors of 18 are 2
The answer is B
