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A
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Difficulty:
15%
(low)
Question Stats:
77% (01:07) correct
23%
(01:16)
wrong
based on 132
sessions
History
Date
Time
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Not Attempted Yet
P is a positive integer. How many positive integers are factors of P ?
S1: P is a product of three different prime numbers.
S2: P is odd.
PS : I did not find a discussion on this question on the forum. Please direct me to the post if this question has been discussed already.
S1: P is a product of three different prime numbers.
S2: P is odd.
PS : I did not find a discussion on this question on the forum. Please direct me to the post if this question has been discussed already.
The correct answer as per the source is Option A.
Lets say from S1 :
P= 2^2 x 3^1 x 5^1. In this case the answer is 12 or P=2^1 x 3^1 x 5^1. In this case the answer is 8.
P is product of 3 different prime numbers in both the cases. What is important to know is the power of the prime numbers ! Without knowing the powers of the prime numbers S1 cannot be sufficient. Please help me understand what is wrong in my thinking.
Lets say from S1 :
P= 2^2 x 3^1 x 5^1. In this case the answer is 12 or P=2^1 x 3^1 x 5^1. In this case the answer is 8.
P is product of 3 different prime numbers in both the cases. What is important to know is the power of the prime numbers ! Without knowing the powers of the prime numbers S1 cannot be sufficient. Please help me understand what is wrong in my thinking.
yashikaaggarwal
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31 May 2020, 10:37
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ARIEN3228
Well I think the question didn't meant the raise to powers of prime numbers. Let say 5,7,11 are the prime no. Whose product 385 is P
The question asked how many positive integers are the factors of P.
Since we know P has only 3 factors.
5*7*11. That too when Prime no. Are positive integers.
I guess we have our answer to the question whether the factors of p are positive integers or not because prime are indeed positive integers.
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