By which set of numbers is this number divisible?
810
Select the correct answer.
Question 1 options:
2, 4, 6, 9, 10
2, 3, 5, 6, 9, 10
2, 5, 10, 13
3, 6, 9, 12
The correct answer is "2, 3, 5, 6, 9, 10". The number 810 is divisible by all of these numbers.
To determine the set of numbers by which 810 is divisible, we need to find numbers that divide evenly into 810 without leaving a remainder.
The correct answer is:
2, 3, 5, 6, 9, 10
To determine which set of numbers the number 810 is divisible by, we need to find the factors of 810. A number is divisible by another number if it can be divided evenly without any remainder.
Let's go through each option and check if 810 is divisible by each number:
Option 1: 810 is divisible by 2 because it is an even number. It is also divisible by 9 because the sum of the digits (8 + 1 + 0) is divisible by 9. However, it is not divisible by 4, 6, or 10. Therefore, this option is incorrect.
Option 2: 810 is divisible by 2 because it is an even number. It is also divisible by 3 because the sum of the digits (8 + 1 + 0) is divisible by 3. Additionally, 810 is divisible by 5 because the last digit is 0. However, it is not divisible by 6 or 9. Therefore, this option is incorrect.
Option 3: 810 is divisible by 2 because it is an even number. It is also divisible by 10 because the last digit is 0. However, it is not divisible by 5 or 13. Therefore, this option is incorrect.
Option 4: 810 is divisible by 3 because the sum of the digits (8 + 1 + 0) is divisible by 3. It is also divisible by 6 because it is divisible by both 2 and 3. It is divisible by 9 because the sum of the digits is divisible by 9. However, it is not divisible by 12. Therefore, this option is incorrect.
Based on the explanations above, the correct answer is:
3, 6, 9, 12