Express 120 as a product of prime numbers with exponents
To express 120 as a product of prime numbers with exponents, we need to find the prime factorization of 120.
Start by dividing 120 by the smallest prime number, which is 2. Since 120 is divisible evenly by 2, we can write it as 2 * 60.
Next, divide 60 by 2 again, which gives us 2 * 2 * 30.
Continue dividing by 2 until we can't anymore. The next division gives us 2 * 2 * 2 * 15.
Since 15 is not divisible by 2, we move on to the next prime number, which is 3. Dividing 15 by 3 gives us 2 * 2 * 2 * 3 * 5.
Finally, we have exhausted all prime numbers and ended up with 2 * 2 * 2 * 3 * 5.
Therefore, 120 can be expressed as a product of prime numbers with exponents as 2^3 * 3^1 * 5^1.