Question

. Check if 384600 is divisible by 24 using divisibility test. [Hint use divisibility test of 8 and 3]

Answer 1

Answer:

   Yes, 384600 is divisible by 24.

Step-by-step explanation:

To check if 384600 is divisible by 8, it is enough to check that 8 divides into the number made from the last three digits:  600.  Since 600 = 8×75, it follows that 600 is divisible by 8, and so 384600 is divisible by 8.

To check if 384600 is divisible by 3, it is enough to check that 3 divides into the number that is the sum of the digits:  3+8+4+6+0+0 = 21.  Since 21 = 3×7, it follows that 21 is divisible by 3, and so 384600 is divisible by 3.

Since 384600 is divisible by 8 and by 3 (and because 3 and 8 are relatively prime), it follows that 384600 is divisible by 3×8 = 24.