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21 Apr 2016, 00:30
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
64% (01:39) correct
36%
(01:49)
wrong
based on 643
sessions
History
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If x is the number of positive integers that will leave no remainder when divided into 1,880, what is the value of x?
A. 4
B. 6
C. 8
D. 12
E. 16
A. 4
B. 6
C. 8
D. 12
E. 16
21 Apr 2016, 02:13
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number of positive integers that will leave no remainder when divided into 1,880 = Number of factors of 1880
1880 = 2^3 * 5 * 47
Number of factors = 4 * 2 * 2 = 16
Answer: E
1880 = 2^3 * 5 * 47
Number of factors = 4 * 2 * 2 = 16
Answer: E
21 Apr 2016, 02:47
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Bunuel
Put simple, we need to find the number of factors of 1,880
We need to break the number in the prime factors form.
1880 = 10*188 = 10*2*94 = 10*2^2*47 = 2^3*5*47
If a number is of the form 2^a*3^b*5^c,
Total factors = (a+1)(b+1)(c+1)
Therefore, number of factors of 1880 = (3+1)(1+1)(1+1) = 16
Correct Option: E
