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Question

If p is a prime number, how many factors does p×p have?


A

1

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B

2

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C

3

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D

p

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Solution

The correct option is C

3



p being a prime number, has only 1 and itself as factors. Thus, the only numbers that divide p×p are: 1, p and p×p. Thus, p×p has exactly three factors.

Consider the number 25=5×5, where 5 is the prime number. Here, 25 has (2+1) three factors.


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