## Basic College Mathematics (10th Edition)

$2^{3}\times7$
In order to find the prime factorization of 56, we can try to divide 56 by the first prime, 2. $56\div2=28$ Try to divide 28 by 2. $28\div2=14$ Try to divide 14 by 2. $14\div2=7$ 7 itself is a prime number, so we cannot simplify any more. The prime factorization of 56 is $2\times2\times2\times7=2^{3}\times7$.