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Number Theory
Level
2
How many 3-digit whole numbers are divisible by 7?
The answer is 128.
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1 solution
Solve This using AP
Taking a=105 [As 105 is the smallest 3-DIGIT number divisible by 7] AND d=7 [Difference between two consecutive multiples of 7 is 7] and LAST TERM(l)= 994 [As it is the greatest 3-DIGIT number divisible by 7]
AP:- 105, 112, 119,..., 994 [All the numbers in the given AP is divisible by 7] According to the AP formula,
=>105+(n-1)7=994
=>(n-1)=889/7
=>n=128 [ANS] Thus, we know there are 128 3-DIGIT nos. exactly divisible by 7