Final answer:
To factor completely, we need to find the prime factors of the given number. In this case, the number is 2072m. We can start by finding the prime factors of 20, which are 2 and 5. Then, we find the prime factors of 72, which are 2, 2, 2, 3, and 3. Finally, we include the variable 'm' as a factor. So the completely factored form of 2072m is 2^4 * 3^2 * 5 * m.
Step-by-step explanation:
To factor completely, we need to find the prime factors of the given number. In this case, the number is 2072m. We can start by finding the prime factors of 20, which are 2 and 5. Then, we find the prime factors of 72, which are 2, 2, 2, 3, and 3. Finally, we include the variable 'm' as a factor. So the completely factored form of 2072m is 2^4 * 3^2 * 5 * m.