A:
Positive:
1 x 13331101311 x 1211918323 x 5796131253 x 526921457 x 2917091153 x 1156215027 x 2651910511 x 12683
Negative:
-1 x -133311013-11 x -12119183-23 x -5796131-253 x -526921-457 x -291709-1153 x -115621-5027 x -26519-10511 x -12683
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 133,311,013, 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 | 133,311,013 | |
| -1 | -133,311,013 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 133,311,013.
Example:
1 x 133,311,013 = 133,311,013
and
-1 x -133,311,013 = 133,311,013
Notice both answers equal 133,311,013
With that explanation out of the way, let's continue. Next, we take the number 133,311,013 and divide it by 2:
133,311,013 ÷ 2 = 66,655,506.5
If the quotient is a whole number, then 2 and 66,655,506.5 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 | 133,311,013 | |
| -1 | -133,311,013 |
Now, we try dividing 133,311,013 by 3:
133,311,013 ÷ 3 = 44,437,004.3333
If the quotient is a whole number, then 3 and 44,437,004.3333 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 | 133,311,013 | |
| -1 | -133,311,013 |
Let's try dividing by 4:
133,311,013 ÷ 4 = 33,327,753.25
If the quotient is a whole number, then 4 and 33,327,753.25 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 | 133,311,013 | |
| -1 | 133,311,013 |
If you did it right, you will end up with this table:
| 1 | 11 | 23 | 253 | 457 | 1,153 | 5,027 | 10,511 | 12,683 | 26,519 | 115,621 | 291,709 | 526,921 | 5,796,131 | 12,119,183 | 133,311,013 |
| -1 | -11 | -23 | -253 | -457 | -1,153 | -5,027 | -10,511 | -12,683 | -26,519 | -115,621 | -291,709 | -526,921 | -5,796,131 | -12,119,183 | -133,311,013 |
Here are some more numbers to try:
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