A:
Positive:
1 x 30155602113 x 2319661759 x 5111119109 x 2766569767 x 3931631417 x 2128133607 x 836036431 x 46891
Negative:
-1 x -301556021-13 x -23196617-59 x -5111119-109 x -2766569-767 x -393163-1417 x -212813-3607 x -83603-6431 x -46891
Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 301,556,021, it is easier to work with a table - it's called factoring from the outside in.
We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.
| 1 | 301,556,021 | |
| -1 | -301,556,021 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 301,556,021.
Example:
1 x 301,556,021 = 301,556,021
and
-1 x -301,556,021 = 301,556,021
Notice both answers equal 301,556,021
With that explanation out of the way, let's continue. Next, we take the number 301,556,021 and divide it by 2:
301,556,021 ÷ 2 = 150,778,010.5
If the quotient is a whole number, then 2 and 150,778,010.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 301,556,021 | |
| -1 | -301,556,021 |
Now, we try dividing 301,556,021 by 3:
301,556,021 ÷ 3 = 100,518,673.6667
If the quotient is a whole number, then 3 and 100,518,673.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 301,556,021 | |
| -1 | -301,556,021 |
Let's try dividing by 4:
301,556,021 ÷ 4 = 75,389,005.25
If the quotient is a whole number, then 4 and 75,389,005.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 301,556,021 | |
| -1 | 301,556,021 |
If you did it right, you will end up with this table:
| 1 | 13 | 59 | 109 | 767 | 1,417 | 3,607 | 6,431 | 46,891 | 83,603 | 212,813 | 393,163 | 2,766,569 | 5,111,119 | 23,196,617 | 301,556,021 |
| -1 | -13 | -59 | -109 | -767 | -1,417 | -3,607 | -6,431 | -46,891 | -83,603 | -212,813 | -393,163 | -2,766,569 | -5,111,119 | -23,196,617 | -301,556,021 |
Here are some more numbers to try:
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