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Question

How many factors does a product of four distinct primes have?

A
5
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B
10
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C
4
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D
16
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Solution

The correct option is D 16
Let a,b,c and d be four distinct primes.
Then the factors of a×b×c×d are:
1,
a, b, c, d (One prime at a time),
a×b, a×c, a×d, b×c, b×d, c×d (Two primes at a time),
a×b×c, a×b×d, a×c×d, b×c×d (Three primes at a time), and
a×b×c×d (All four primes) - 16 in total.

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