Question

a new university library will have 37,260 books. the architect of the library wants to put the same number of books on each floor of the library. how many floors could the library have? select all the possible numbers. 10 4 9 2

Explanation:

Step1: Check divisibility by 10

A number is divisible by 10 if its last digit is 0. Since 37260 ends with 0, it is divisible by 10.

Step2: Check divisibility by 4

A number is divisible by 4 if the number formed by its last two - digits is divisible by 4. The last two digits of 37260 is 60, and 60÷4 = 15, so 37260 is divisible by 4.

Step3: Check divisibility by 9

A number is divisible by 9 if the sum of its digits is divisible by 9. The sum of the digits of 37260 is 3 + 7+2 + 6+0=18, and 18÷9 = 2, so 37260 is divisible by 9.

Step4: Check divisibility by 2

A number is divisible by 2 if its last digit is even. Since the last digit of 37260 is 0 (an even number), 37260 is divisible by 2.

Answer:

10, 4, 9, 2