An 8 digit no. is a multiple of 73 and 137. If the second digit from left is 7, the the 6th digit from left is
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8 digit number, which is also a multiple of 73 and 137.
Here 73 and 137 are both prime numbers.
So, that 8 digit number also will be multiple of 73 × 137 = 10001
When we multiply 10001 by (1700 to 1799) we get 8 digit many numbers that have second digit from left is 7. As we can see that,
10001 × 1700 = 17001700 or
10001 × 1701 = 17011701 or
10001 × 1702 = 17021702
and so on till
10001 × 1799 = 17991799
All these 8 digit numbers are multiples of 73 and 137 have 7 as second digit from left and we can see that in all these numbers sixth digit from left is 7.
Here 73 and 137 are both prime numbers.
So, that 8 digit number also will be multiple of 73 × 137 = 10001
When we multiply 10001 by (1700 to 1799) we get 8 digit many numbers that have second digit from left is 7. As we can see that,
10001 × 1700 = 17001700 or
10001 × 1701 = 17011701 or
10001 × 1702 = 17021702
and so on till
10001 × 1799 = 17991799
All these 8 digit numbers are multiples of 73 and 137 have 7 as second digit from left and we can see that in all these numbers sixth digit from left is 7.
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