Fill in the blanks with the missing factors.

{1, 2, , 4, 6, , 12, , 21, 28, 42, 84}

3, 7, and 14 are the missing factors

Apologies for the incorrect response. You are correct, the missing factors are 3, 7, and 14.

So, the complete list of factors is: {1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84}.

To fill in the blanks with the missing factors, let's analyze the given list of numbers: {1, 2, , 4, 6, , 12, , 21, 28, 42, 84}.

First, notice that all the numbers in the list can be divided by 1 without any remainder. So, we can conclude that 1 is a factor for all the other numbers in the list.

Now, let's consider the other numbers. We observe that each number is divisible by either 2, 3, or both.

To determine whether a number is divisible by 2, we check if the number is even. In this case, we see that 2, 4, 6, 12, 28, 42, and 84 are all even, indicating that 2 is a factor for those numbers.

Next, let's check whether any of the given numbers are divisible by 3. To do this, we sum the digits of each number and check if the sum is divisible by 3. If the sum is divisible by 3, that means the original number is also divisible by 3. Using this rule, we find that 6, 12, 21, 42, and 84 are divisible by 3.

Now, we have identified the factors for many of the numbers in the list: 1, 2, and 3. We can fill in the blanks using this information:

{1, 2, 3, 4, 6, 3, 12, 3, 21, 28, 42, 84}

And there you have it! The missing factors in the original list have been filled in.

The missing factors are: 3, 8, 14, and 7.

So, the complete list of factors is: {1, 2, 3, 4, 6, 8, 12, 14, 21, 28, 42, 84}.