Question

How many positive factors of 200 are divisible by 4?
A. 2
B. 5
C. 6
D. 8

Twice the sum of the prime factors of 35 is k.What is the value of k-4?
A. 12
B. 14
C. 16
D. 20

In the set of consecutive integers from 16 to 45, inclusive, there are 2 integers that are multiples of both 4 and 5. How many integers in this set are multiples of neither 4 nor 5?
A. 17
B. 18
C. 19
D. 20

How many positive even factors of 120 are greater than 1 and less than 40?
A. 8
B. 9
C. 10
D. 11

Please answer all questions, thank you!

Answer 1

Answer:

C. 6, D. 20, B. 18, B. 9

Step-by-step explanation:

#1. Factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100 & 200, of which 6 are divisible by 4 (4, 8, 20, 40, 100 & 200)

#2. Prime factors of 35 are 7 & 5, twice the sum of these factors, k = 24. k-4 = 20

#3. Non-multiples of 4 nor 5 between 16 and 45 are 17, 18, 19, 21, 22, 23, 26, 27, 29, 31, 33, 34, 37, 38, 39, 41, 42 & 43...thus 18 non-multiples

#4. Even factors of 120 greater than 1 and less than 40 are 2, 4, 6, 8, 10, 12, 20, 24 & 30...thus there are 9 even factors