Find the prime factorization of the number below (use the divisibility tests where helpful). $130$
A) $6 \cdot 5 \cdot 13$
B) $2 \cdot 5 \cdot 6$
C) $2 \cdot 5 \cdot 13$
D) $2 \cdot 13 ^ { 2 }$
E) $5 \cdot 5 \cdot 13$

Question

Quizplus · Accepted Answer

$130$ is an even number so it is divisible by $2$. Dividing $130$ by $2$, we get $65$. Checking divisibility by $5$, we see that $65$ is indeed divisible by $5$ since $5 \cdot 13 = 65$. Therefore, the prime factorization of $130$ is $2\cdot5\cdot13$, which corresponds to choice C.

Find the Prime Factorization of the Number Below (Use the Divisibility