Express as product of prime factors 160

1 answer

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.

  1. \( 160 \div 2 = 80 \)
  2. \( 80 \div 2 = 40 \)
  3. \( 40 \div 2 = 20 \)
  4. \( 20 \div 2 = 10 \)
  5. \( 10 \div 2 = 5 \)
  6. \( 5 \div 5 = 1 \)

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 \( 2^5 \times 5 \).