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Standard VIII

Mathematics

Factors of Natural Numbers

If n is a pri...

Question

If n is a prime number, then $6 n$ must be

A multiple of

9

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Prime

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A multiple of

3

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A multiple of

12

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Equal to

12

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Solution

The correct option is D A multiple of $3$
Let $n$ be the prime number.
So, $n = 1 \times n$ (prime factorization)
Now, $p = 6 n$
$∴ p = 1 \times 2 \times 3 \times n$ (prime factorization)
Thus, the number $p$ will be a multiple of $3$ .
Ans-Option $C$

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If n is a prime number, then 6n must be

The correct option is D A multiple of 3Let n be the prime number.So, n=1×n(prime factorization)Now, p=6n∴p=1×2×3×n(prime factorization)Thus, the number p will be a multiple of 3.Ans-Option C

If n is a prime number, then $6 n$ must be

The correct option is D A multiple of $3$
Let $n$ be the prime number.
So, $n = 1 \times n$ (prime factorization)
Now, $p = 6 n$
$∴ p = 1 \times 2 \times 3 \times n$ (prime factorization)
Thus, the number $p$ will be a multiple of $3$ .
Ans-Option $C$