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17 Dec 2018, 02:46
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E
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68% (01:00) correct
32%
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If a = 16b and b is a prime number greater than 2, how many positive distinct factors does a have?
A. 4
B. 5
C. 6
D. 8
E. 10
A. 4
B. 5
C. 6
D. 8
E. 10
17 Dec 2018, 06:57
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\(a = 16(prime)\)
\(a = 2^4(prime)^1\)
A prime number can only take 1 as its power. Apart from that if takes any other power, then b will not be a prime number.
So a has (4+1)(1+1) = 5*2 = 10 factors.
OPTION: E
\(a = 2^4(prime)^1\)
A prime number can only take 1 as its power. Apart from that if takes any other power, then b will not be a prime number.
So a has (4+1)(1+1) = 5*2 = 10 factors.
OPTION: E
General Discussion
17 Dec 2018, 03:21
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Bunuel
If a = 16b and b is a prime number greater than 2, how many positive distinct factors does a have?
A. 4
B. 5
C. 6
D. 8
E. 10
A. 4
B. 5
C. 6
D. 8
E. 10
b = 3.
a = 16b
a = 16*3 = 48.
1 * 48 = 48
2*24=48
3*16=48
4*12=48
6*8=48.
we have 10 factors.
E is the correct answer.
