19. If n = 4p, Where 'p' is a prime number greater than 2
how many different positive divisors does have including n?
(a) 4
(b) 6
(c) 2
(d) 7
Answers
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Answer:
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Answered by
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Answer:4
Step-by-step explanation:
Given that p is a prime number and it should be greater than 2,
So p will be odd number which is greater than 2
Since n =4p, n is even number
This means that n has 4 even divisors which are: 2, 4, 2p, 4p
⇒ Ex: if we take p =3, then n = 12
12 = 2 × 6 = 3 × 4 = 1 × 12
Even Divisors of 12 = 2, 4, 6 (2p), 12 (4p) = 4 even divisors
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