Question

A number equals the given product of relatively prime numbers: $3\times 4\times 49$
The prime factorization of the number is

• A. $2\times 3\times 7$
• B. $2\times 2\times 3\times 49$
• C. $2\times 2\times 3\times 7\times 7$
• D. None of the above.

Answer 1

The correct option is C $2\times 2\times 3\times 7\times 7$

The factorization $3\times 4\times 49$ consist of composite numbers $4$ and $49.$

$4=2\times 2$ and $49=7\times 7$

$2$ and $7$ are prime numbers.

$\therefore$ The prime factorization is $2\times 2\times 3\times 7\times 7$