Use the divisibility rules to help determine the prime factorization of the following number.
58
A) $3 \cdot 29$
B) $4 \cdot 29$
C) $2 \cdot 28$
D) $2 \cdot 29$
E) none of these

Question

Quizplus · Accepted Answer

We can determine that 58 is not divisible by 2, 3, 5, or 7. However, it is divisible by 29, which can be determined using a calculator or by knowing that any number ending in 9 is divisible by 29 if the digits are rearranged and the result is also divisible by 29. Therefore, the prime factorization of 58 is 2 x 29. The only choice that includes 2 and 29 is D.

Use the Divisibility Rules to Help Determine the Prime Factorization 3⋅293 \cdot 293⋅29

Use the Divisibility Rules to Help Determine the Prime Factorization $3 \cdot 29$