How many three- digit numbers are divisible by 7
?
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Answered by
29
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.
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.
Answered by
8
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.
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.
Similar questions
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