How many Two-Digit Natural Numbers are Divisible by 7

Answer: 14, 21, 28, 35……98 are two-digit numbers divisible by 7.

14 is the first two-digit number that is divisible by 7.

98 is the last two-digit number divisible by seven.

The list of two-digit numbers divisible by seven consists of:

14, 21, 28, 35……98 which comprise the A.P.

Formula for AP is –

T(n) = a + (n – 1)d

Where

a = 14

d = 7

T(n) = 98

98 = 14 + (n – 1)7

84 = 7n – 7

7n = 91

n = 13

So the total 2 digit number divided by 7 is 13.