A:
Positive:
1 x 30162601313 x 2320200129 x 10400897377 x 800069379 x 7958472111 x 1428834927 x 6121910991 x 27443
Negative:
-1 x -301626013-13 x -23202001-29 x -10400897-377 x -800069-379 x -795847-2111 x -142883-4927 x -61219-10991 x -27443
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 301,626,013, 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 | 301,626,013 | |
| -1 | -301,626,013 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 301,626,013.
Example:
1 x 301,626,013 = 301,626,013
and
-1 x -301,626,013 = 301,626,013
Notice both answers equal 301,626,013
With that explanation out of the way, let's continue. Next, we take the number 301,626,013 and divide it by 2:
301,626,013 ÷ 2 = 150,813,006.5
If the quotient is a whole number, then 2 and 150,813,006.5 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 | 301,626,013 | |
| -1 | -301,626,013 |
Now, we try dividing 301,626,013 by 3:
301,626,013 ÷ 3 = 100,542,004.3333
If the quotient is a whole number, then 3 and 100,542,004.3333 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 | 301,626,013 | |
| -1 | -301,626,013 |
Let's try dividing by 4:
301,626,013 ÷ 4 = 75,406,503.25
If the quotient is a whole number, then 4 and 75,406,503.25 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 | 301,626,013 | |
| -1 | 301,626,013 |
If you did it right, you will end up with this table:
| 1 | 13 | 29 | 377 | 379 | 2,111 | 4,927 | 10,991 | 27,443 | 61,219 | 142,883 | 795,847 | 800,069 | 10,400,897 | 23,202,001 | 301,626,013 |
| -1 | -13 | -29 | -377 | -379 | -2,111 | -4,927 | -10,991 | -27,443 | -61,219 | -142,883 | -795,847 | -800,069 | -10,400,897 | -23,202,001 | -301,626,013 |
Here are some more numbers to try:
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