What is the least positive integer that is the product of $3$ different prime numbers greater than $2$ ?

27

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45

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63

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75

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105

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Solution

The correct option is E $105$
Three different prime numbers which are greater than $2$ are $3, 5, 7$ .
$∴ 3, 5, 7$ are three least prime numbers above $2$ .
Therefore, the product of all these is $3 \times 5 \times 7 = 105$ .

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What is the least positive integer that is the product of 3 different prime numbers greater than 2?

The correct option is E 105Three different prime numbers which are greater than 2 are 3,5,7.∴3,5,7 are three least prime numbers above 2.Therefore, the product of all these is 3×5×7=105.

What is the least positive integer that is the product of $3$ different prime numbers greater than $2$ ?

The correct option is E $105$
Three different prime numbers which are greater than $2$ are $3, 5, 7$ .
$∴ 3, 5, 7$ are three least prime numbers above $2$ .
Therefore, the product of all these is $3 \times 5 \times 7 = 105$ .