Answer:
G. 4
Explanation:
Question: How many positive even factors of 120 are greater than 20 and less than 120?
Solution + explanation:
Basically we are trying to find out all even factors of 120 that are greater than 20 but less than 120.
But first…
What is a factor?
A factor of a number are the numbers that divide into it exactly.
Without leaving any remainders behind or being written as a decimal.
Now that we learned what is a factor, let’s get right into the steps!
Step 1. Factor out 120!
120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60 and 120
Step 2. Find how many of those factors are “even factors of 120 and are greater than 20 but less than 120”.
Then we’re going to focus on those factors that are “greater than 20 but less than 120 and are even factors”
All factors greater than 20 & less than 120: 24, 30, 40 and 60
All factors greater than 20 less than 120 and even numbers: 24, 30, 40 and 60.
We can see that all of the factors of 120 that are greater than 20 but less than 120 were already even numbers so
Therefore our final answer is G. 4