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Find all the factor pairs for $21$ and complete the equations. $\newline$ $21 = \_\_\_ \times 21$ $\newline$ $21 = 3 \times \_\_\_$

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Write multiplication expressions using exponents

Full solution

Q. Find all the factor pairs for

21

and complete the equations.

\newline

21 = \_\_\_ \times 21

\newline

21 = 3 \times \_\_\_

Identify Factor Pairs: Identify the factor pairs of $21$ by finding numbers that multiply to give $21$ . Start with $1$ since $1$ multiplied by $21$ equals $21$ .
Check Factors: Continue with the next integer, $2$ , to see if it is a factor of $21$ . Since $21$ divided by $2$ is not an integer, $2$ is not a factor.
Find Factor Pairs: Check if $3$ is a factor of $21$ . Since $21$ divided by $3$ equals $7$ , which is an integer, $3$ and $7$ are factor pairs.
Test Integers: Test the next integer, $4$ , to see if it is a factor of $21$ . Since $21$ divided by $4$ is not an integer, $4$ is not a factor.
Verify Factors: Check if $5$ is a factor of $21$ . Since $21$ divided by $5$ is not an integer, $5$ is not a factor.
Evaluate Potential Factors: Test $6$ as a potential factor. Since $21$ divided by $6$ is not an integer, $6$ is not a factor.
Final Factor Check: Finally, check $7$ . We already know from a previous step that $7$ is a factor because $21$ divided by $7$ equals $3$ .

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