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If p and q are prime numbers, how many divisors does the product p^3*q
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26 Sep 2022, 04:47
26 Sep 2022, 04:47
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62% (00:55) correct
37% (01:08) wrong based on 16 sessions
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If p and q are prime numbers, how many divisors does the product \(p^3*q^6\) have?
(A) 9
(B) 12
(C) 18
(D) 28
(E) 363
(A) 9
(B) 12
(C) 18
(D) 28
(E) 363
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GRE Math Essentials (2022)
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GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
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If p and q are prime numbers, how many divisors does the product p^3*q
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28 Sep 2022, 09:24
28 Sep 2022, 09:24
2
Given that p and q are prime numbers and we need to find the number of divisors of \(p^3*q^6\)
Number of divisors of a number written in the form \(p^3*q^6\), where p and q are prime numbers is given by the following theory
Theory: To find number of factors of a number we need to write the number as product of power of prime number and add one to the powers and multiply the powers
=> (3+1)*(6+1) = 4*7 = 28
So, Answer will be D
Hope it helps!
If you are new to Prime numbers then watch the following video on Basics of Prime Numbers
Number of divisors of a number written in the form \(p^3*q^6\), where p and q are prime numbers is given by the following theory
Theory: To find number of factors of a number we need to write the number as product of power of prime number and add one to the powers and multiply the powers
=> (3+1)*(6+1) = 4*7 = 28
So, Answer will be D
Hope it helps!
If you are new to Prime numbers then watch the following video on Basics of Prime Numbers
Re: If p and q are prime numbers, how many divisors does the product p^3*q
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12 Apr 2024, 11:59
12 Apr 2024, 11:59
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