The greatest common factor of 30+42 according to the distributive property is 6×12.
The distributive law, which states that equality is always true in elementary algebra, is generalized by the distributive principle of binary operations in mathematics.
For instance, addition is said to be more evenly distributed than multiplication in elementary mathematics.
So, here we wish to calculate the largest common factor between the numbers 30 and 42, which equals the total of 30 and 42.
Going one for one, the biggest divisor of 30 is 15, and since 42 cannot be divided by 15, this means that there isn't a frequent divisor of 30 and 42.
Since 10 is not a divisor of 42 and is the second largest divisor of 30 (10*3 = 30), it is not a common divisor of both 30 and 42.
6, which is also a divisor of 42 (6*7 = 42), is the third-largest divisor of 30 (6*5 = 30).
Then both 30 and 42 have 6 in common the most.
We may factor the total now by:
30 + 42 = 6*5 + 6*7 = 6*(5 + 7) = 6*12
Therefore, the greatest common factor of 30+42 according to the distributive property is 6×12.
Know more about the distributive property here:
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Correct question:
Apply the distributive property to factor out the greatest common factor. 30+42
