Answer:
There are 5 numbers between 2 and 12 (inclusive) by which 378 is divisible.
Step-by-step explanation:
We have to find how many numbers between 2 and 12 (inclusive) is the number 378 divisible by.
Firstly, 378 is divisible by 2 as the last digit of the given number is even.
378 is divisible 3 because the sum of the digits (3 + 7 + 8 = 18) is divisible by 3.
378 is divisible by 6 because any number which is divisible by 2 and 3, will be divisible by 6 also.
378 is divisible by 7 as [tex]54 \times 7[/tex] = 378.
378 is divisible 9 because the sum of the digits (3 + 7 + 8 = 18) is divisible by 9.
And, the number 378 is not divisible by 4, 5, 8, 10, 11, and 12.
Hence, there are 5 numbers between 2 and 12 (inclusive) by which 378 is divisible.
