If $n$ is the product of the integers from $1$ to $8$ , inclusive, how many different prime factors greater than $1$ does $n$ have?

Four

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Five

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Six

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Seven

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Eight

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Solution

The correct option is A Four
If $n$ is the product of the integers from $1$ to $8$ , then its prime factors will be the prime numbers from $1$ to $8$ . There are four prime numbers between $1$ and $8 : 2, 3, 5$ , and $7$ .
The correct answer is A.

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If n is the product of the integers from 1 to 8, inclusive, how many different prime factors greater than 1 does n have?

The correct option is A FourIf n is the product of the integers from 1 to 8, then its prime factors will be the prime numbers from 1 to 8. There are four prime numbers between 1 and 8:2,3,5, and 7.The correct answer is A.

If $n$ is the product of the integers from $1$ to $8$ , inclusive, how many different prime factors greater than $1$ does $n$ have?

The correct option is A Four
If $n$ is the product of the integers from $1$ to $8$ , then its prime factors will be the prime numbers from $1$ to $8$ . There are four prime numbers between $1$ and $8 : 2, 3, 5$ , and $7$ .
The correct answer is A.