To express 160 as a product of its prime factors, we start by dividing it by the smallest prime number, which is 2, and continue dividing until we reach 1.
- \( 160 \div 2 = 80 \)
- \( 80 \div 2 = 40 \)
- \( 40 \div 2 = 20 \)
- \( 20 \div 2 = 10 \)
- \( 10 \div 2 = 5 \)
- \( 5 \div 5 = 1 \)
Now we can write 160 as the product of the prime factors obtained during the division:
\[ 160 = 2^5 \times 5^1 \]
Thus, the prime factorization of 160 is \( 2^5 \times 5 \).