In which of the following expressions, has prime factorization been done?
$( a)\ 40=2 \times 2 \times 2 \times 5$
$( b)\ 42=7\times6$.

Given: Expressions $( a)\ 40=2 \times 2 \times 2 \times 5$    $( b)\ 42=7\times6$.

To do: To find the expressions in which prime factorization has been done.

Solution:

$( a)\ 40=2 \times 2 \times 2 \times 5$

$\because 2$ and $5$ are prime number. 

$\therefore$ Number $40$ has prime factorization.

$( b)\ 42=7\times6$

$\because 6$ is not a prime number.

$\therefore$ Number $42$ does not have prime factorization. 

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Updated on: 10-Oct-2022

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