Final answer:
The sum 42+24 can be factored by finding the common factor 6, resulting in the expression 6(7+4), which simplifies to 66.
Step-by-step explanation:
Factoring the Sum 42+24
To factor the sum 42+24 by finding a common factor, we must determine a number that both 42 and 24 can be divided by. Recognizing that both numbers are even suggests that they can be divided by 2 at the very least. Upon further inspection, we notice that they can both be divided by 6. Factoring by 6, we get:
Divide 42 by 6, which equals 7.
Divide 24 by 6, which equals 4.
Express the original sum as the product of the common factor 6 and the sum of the quotients obtained, 7 + 4.
Thus, the factored form is 6(7+4).
The final answer is 6 × 11, which simplifies to 66.