Use the divisibility rules to help determine the prime factorization of the following number.
14
A) $3 \cdot 7$
B) $4 \cdot 7$
C) $2 \cdot 6$
D) $2 \cdot 7$
E) none of these

Question

Quizplus · Accepted Answer

The divisibility rules tells us that a number is divisible by 2 if the last digit is even. Since the last digit is 4, we know that 14 is divisible by 2. We can then divide 14 by 2 to get 7, which is a prime number. Therefore, the prime factorization of 14 is 2 multiplied by 7, or 2 x 7. The answer that represents this is D.

Use the Divisibility Rules to Help Determine the Prime Factorization 3⋅73 \cdot 73⋅7

Use the Divisibility Rules to Help Determine the Prime Factorization $3 \cdot 7$