Find the prime factorization of the number (use the divisibility tests where helpful). $455$
A) $5 \cdot 13 ^ { 2 }$
B) $5 \cdot 7 \cdot 13$
C) $5.7 \cdot 4$
D) $4 \cdot 7 \cdot 13$
E) $7 \cdot 7 \cdot 13$

Question

Quizplus · Accepted Answer

To find the prime factorization of 455, we can start by finding a pair of factors that multiply to 455. We can guess and check:

1 x 455 = 455
5 x 91 = 455
7 x 65 = 455
13 x 35 = 455

Out of these factors, only 5, 7, and 13 are prime. We continue to factor until we can no longer factor any of the factors:

455 = 5 x 91
91 = 7 x 13

Therefore, the prime factorization of 455 is 5 x 7 x 13, which is choice B.

Find the Prime Factorization of the Number (Use the Divisibility 455455455

Find the Prime Factorization of the Number (Use the Divisibility $455$