Knowee
Questions
Features
Study Tools

Which of the following exactly divides x, where x is the sum of the first 15 prime numbers?

Question

Which of the following exactly divides x, where x is the sum of the first 15 prime numbers?

🧐 Not the exact question you are looking for?Go ask a question

Solution

To find out which of the following numbers exactly divides x, where x is the sum of the first 15 prime numbers, we need to first calculate the value of x.

The first step is to identify the first 15 prime numbers. The prime numbers are numbers that are only divisible by 1 and themselves. Starting from 2, we can list the first 15 prime numbers as follows:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47

Next, we need to sum up these prime numbers to find the value of x. Adding them up, we get:

2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 = 460

So, x is equal to 460.

Now, we need to determine which of the given numbers exactly divides 460. Without knowing the specific numbers provided, we can check each of them by dividing 460 by each number and checking if the remainder is zero.

By performing the division, if the remainder is zero, then that number exactly divides 460. If the remainder is not zero, then that number does not divide 460.

By following these steps, we can determine which of the given numbers exactly divides x, where x is the sum of the first 15 prime numbers.

This problem has been solved

Similar Questions

15.A certain number when successively divided by 3 and 5 leaves reminder 1 and 2. what is the reminder, if the same number be divided by 15?Options58746

15.A certain number when successively divided by 3 and 5 leaves reminder 1 and 2. what is the reminder, if the same number be divided by 15?

What least number must be subtracted from 1672 to obtain a number which is completely divisible by 17?

The natural numbers are divided into groups as (1), (2, 3, 4), (5, 6, 7, 8, 9), ….. and so on. Then, the sum of the numbers in the 15th group is equal to

Find the sum of all the common factors of 15 and 25.Multiply the result by the first common multiple of 3 and 7.What is the answer?

1/1

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.