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How many three digit numbers are divisible by 7?
Verified Answer
How many three digit numbers are divisible by 7?
Three digit numbers divisible by 7 are

105, 112, 119, ..., 994

This is an AP with first term (a) = 105 and common difference (d) = 7

Let an be the last term.

an = a + (n - 1)d

994 = 105 + (n - 1)(7)

7(n - 1) = 889

n - 1 = 127

n = 128

Thus, there are 128 three-digit natural numbers that are divisible by 7.
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Most Upvoted Answer
How many three digit numbers are divisible by 7?
Identifying the problem:

We need to determine how many three-digit numbers are divisible by 7.

Understanding the problem:

To solve this problem, we need to find the count of three-digit numbers that are divisible by 7. A number is divisible by 7 if the remainder when it is divided by 7 is 0.

Breaking down the problem:

To find the count of three-digit numbers divisible by 7, we can follow these steps:
1. Determine the range of three-digit numbers.
2. Check each number in the range to see if it is divisible by 7.
3. Count the numbers that fulfill the divisibility condition.

Solving the problem:

Step 1: Determine the range of three-digit numbers:
To find the range of three-digit numbers, we need to consider the smallest three-digit number (100) and the largest three-digit number (999).

Step 2: Check each number in the range for divisibility:
We can iterate through the range of three-digit numbers from 100 to 999 and check if each number is divisible by 7.

Step 3: Count the numbers that fulfill the divisibility condition:
For each number in the range, we can calculate the remainder when it is divided by 7. If the remainder is 0, it means the number is divisible by 7. We can increment a counter variable whenever we find a number that satisfies this condition.

Visually appealing summary:

To find the count of three-digit numbers divisible by 7, we can follow these steps:

1. Determine the range of three-digit numbers: 100 to 999.
2. Check each number in the range to see if it is divisible by 7.
3. Count the numbers that fulfill the divisibility condition.

By iterating through the range and checking the remainder of each number divided by 7, we can find the count of three-digit numbers divisible by 7.
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How many three digit numbers are divisible by 7?
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How many three digit numbers are divisible by 7? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about How many three digit numbers are divisible by 7? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many three digit numbers are divisible by 7?.
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