Question

Number of 5-digit multiples of 13

Answer 1

Answer:

there are 6923 ,  5-digit  multiples of 13

Step-by-step explanation:

5 Digits numbers are from 10000 to 99999

10000/13 = 769 * 13 + 3

=> 1st multiplier of 13 in 5 digit number

= 770 * 13

= 10010

99999/13 = 7692 * 13 +  4

=> Last multiplier of 13 in 5 digit number

= 7692 * 13

= 99996

First term = 10010

Last term = 99996

Common Difference = 13

Number of terms/(multipliers of 13) = n

L = a + (n-1)d

99996 = 10010 + (n - 1)* 13

=> 89986 = (n - 1)* 13

=> n - 1  = 6922

=> n = 6923

there are 6923 , 5-digit  multiples of 13