Question

In which of the following expressions prime factorization has been done

• A. $24=2\times 3\times 4$
• B. $56=7\times 2\times 2\times 2$
• C. $70=2\times 5\times 7$
• D. $54=2\times 3\times 9$

Answer 1

Answer: (B), (C)

$70=2\times 5\times 7$

Explanation of the correct option.

Option $\left(B\right)$: $56=7\times 2\times 2\times 2$

We know that, prime factorization is the process of expressing a number as product of only Prime Numbers.

Since, $56$ is expressed as product of only Prime Numbers.

Hence option $\left(B\right)$ is correct.

Option $\left(C\right)$: $70=2\times 5\times 7$

We know that, prime factorization is the process of expressing a number as product of only Prime Numbers.

Since, $70$ is expressed as product of only Prime Numbers.

Hence option $\left(C\right)$ is correct.

Explanation of the incorrect option.

Option $\left(A\right)$: $24=2\times 3\times 4$

We know that, prime factorization is the process of expressing a number as product of only Prime Numbers.

Since, $4$ is not a Prime Number.

Hence option $\left(A\right)$ is incorrect.

Option $\left(D\right)$: $54=2\times 3\times 9$

We know that, prime factorization is the process of expressing a number as product of only Prime Numbers.

Since, $9$ is not a Prime Number.

Hence option $\left(D\right)$ is incorrect.

Hence Option $\left(B\right)$ and $\left(C\right)$ are correct options.