The Digit Persistence

Multiplicative Persistence

Multiply all the digits of a number. Take the result and repeat the process until you reach a single-digit number. The number of steps taken is the "multiplicative persistence." Example: 39 $ o 3 imes 9 = 27 o 2 imes 7 = 14 o 1 imes 4 = 4$. (3 steps).

The Assignment

Your function receives a parameter num.

1. Initialize persistence to 0.
2. Write a while loop that runs as long as num has more than one digit (num >= 10).
3. Inside:
   • Calculate the product of all digits in num.
   • Update num with this product.
   • Increment persistence.
4. After the loop, print the final persistence.