How many three- digit numbers are divisible by 7
?



2
1000 divided by 7 is 142 with remainder 6.
So there are 142 positive integers less than 1000 that are divisible by 7.
100 divided by 7 is 14 with remainder 2.
So there are 14 positive integers less than 100 that are divisible by 7.
Hence there are 142 - 14 = 128 three digit numbers that are divisible by 7

Answers

2014-03-19T16:19:50+05:30
The smallest 3-digit multiple of 7 is 105 = 15*7

The largest 3-digit multiple of 7 is 994 = 142*7So there are 142-14 = 128 

3-digit multiples of 7, ie 128 3-digit numbers that are divisible by 7.
4 5 4
2014-03-19T18:42:57+05:30
15 is the starting digit gives 3 digit number when we multiply by 7, 7*15 = 105

142 is the ending digit gives 3 digit number when we multiply by 7, 7*142 = 994

Therefore, the total number of digits that gives 3 digit number when we multiply by 7 is 142-15 = 127 and we have to add 1 to 127 because 15 is excluded when we subtract.

so, the answer is 128.
0