A:
Positive:
1 x 4315821377 x 6165459161 x 7075117239 x 1805783427 x 10107311673 x 2579694229 x 10205314579 x 29603
Negative:
-1 x -431582137-7 x -61654591-61 x -7075117-239 x -1805783-427 x -1010731-1673 x -257969-4229 x -102053-14579 x -29603
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 431,582,137, 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 | 431,582,137 | |
| -1 | -431,582,137 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 431,582,137.
Example:
1 x 431,582,137 = 431,582,137
and
-1 x -431,582,137 = 431,582,137
Notice both answers equal 431,582,137
With that explanation out of the way, let's continue. Next, we take the number 431,582,137 and divide it by 2:
431,582,137 ÷ 2 = 215,791,068.5
If the quotient is a whole number, then 2 and 215,791,068.5 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 | 431,582,137 | |
| -1 | -431,582,137 |
Now, we try dividing 431,582,137 by 3:
431,582,137 ÷ 3 = 143,860,712.3333
If the quotient is a whole number, then 3 and 143,860,712.3333 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 | 431,582,137 | |
| -1 | -431,582,137 |
Let's try dividing by 4:
431,582,137 ÷ 4 = 107,895,534.25
If the quotient is a whole number, then 4 and 107,895,534.25 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 | 431,582,137 | |
| -1 | 431,582,137 |
If you did it right, you will end up with this table:
| 1 | 7 | 61 | 239 | 427 | 1,673 | 4,229 | 14,579 | 29,603 | 102,053 | 257,969 | 1,010,731 | 1,805,783 | 7,075,117 | 61,654,591 | 431,582,137 |
| -1 | -7 | -61 | -239 | -427 | -1,673 | -4,229 | -14,579 | -29,603 | -102,053 | -257,969 | -1,010,731 | -1,805,783 | -7,075,117 | -61,654,591 | -431,582,137 |
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