identify all factors of 81 A is {1, 81} B is {1,3,4,9,27,81} C is {1,9,81} D is {1,3,9,27,81}
To identify all the factors of 81, you need to find all the numbers that can divide evenly into 81 without leaving a remainder. Here's how you can do it:
1. Start by listing some of the smaller numbers, such as 1, 2, 3, 4, and so on.
2. Check each number to see if it divides evenly into 81. Begin with 1 and check if it divides evenly into 81. In this case, 1 does divide evenly since 81 divided by 1 equals 81.
3. Continue checking the other numbers to see if they divide evenly into 81. For example, check if 2 divides evenly into 81. If it does not, move on to the next number.
4. Keep checking until you reach the square root of 81, which is 9 in this case. This is because if a number does not divide evenly into 81 before the square root, then its corresponding factor will already be accounted for later in the process.
5. By following this process, you should find all the factors of 81. In this case, the factors are 1, 3, 9, 27, and 81.
Now, let's compare the factors you mentioned to see which sets are correct:
- Set A: {1, 81} - This set is correct.
- Set B: {1, 3, 4, 9, 27, 81} - This set is correct as well.
- Set C: {1, 9, 81} - This set is also correct.
- Set D: {1, 3, 9, 27, 81} - This set is correct too.
So, all the factors you provided are correct.