Discussion Forum

Which of the following numbers is exactly divisible by all prime numbers between 1 and 17 ?

Answer:

Explanation:

The prime numbers between 1 and 17 are 2, 3, 5, 7, 11, 13

According to Divisibility rule for 2 : If the last digit of a number is 2, 4, 6, 8 or 0 that number is divisible by 2

So we can consider 440440 and 510510.

Then apply the Divisibility rule for 3, that is,  add the each digit in the number 

440440 : 4 + 4 + 0 + 4 + 4 + 0 = 16, which is not divisible by 3

510510 : 5 + 1 + 0 + 5 + 1 + 0 = 12, which is divisible by 3

So our answer should be  510510 . You can apply divisibility rule for 5, 7, 11, 13 to this number to check this satisfies all the conditions.