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John and Gary are playing a game. John spins a spinner numbered with integers from 1 to 20. Gary then writes a list of all of the positive factors of the number spun except for the number itself. Gary then creates a new spinner with all of the numbers on his list. John then spins this spinner, and the process continues... | ## Step 1: Identify the initial number of factors for 20
The positive factors of 20 are 1, 2, 4, 5, 10, and 20.
## Step 2: Determine the maximum number of spins for a 20 on the first spin
Since the spinner has 6 numbers on it initially, and John can choose any of these numbers for his first spin, he can make 6 spins.
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What is the smallest multiple of $5$ which is greater than $-32$? | ## Step 1: To find the smallest multiple of 5 that is greater than -32, we need to find the smallest number that is divisible by 5.
## Step 2: The multiples of 5 are 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175,... |
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