A:
Positive:
1 x 2312775017 x 3303964313 x 1779057749 x 471994967 x 345190391 x 2541511469 x 493129637 x 363073871 x 2655313283 x 704475419 x 426796097 x 37933
Negative:
-1 x -231277501-7 x -33039643-13 x -17790577-49 x -4719949-67 x -3451903-91 x -2541511-469 x -493129-637 x -363073-871 x -265531-3283 x -70447-5419 x -42679-6097 x -37933
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 231,277,501, 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 | 231,277,501 | |
| -1 | -231,277,501 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 231,277,501.
Example:
1 x 231,277,501 = 231,277,501
and
-1 x -231,277,501 = 231,277,501
Notice both answers equal 231,277,501
With that explanation out of the way, let's continue. Next, we take the number 231,277,501 and divide it by 2:
231,277,501 ÷ 2 = 115,638,750.5
If the quotient is a whole number, then 2 and 115,638,750.5 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 | 231,277,501 | |
| -1 | -231,277,501 |
Now, we try dividing 231,277,501 by 3:
231,277,501 ÷ 3 = 77,092,500.3333
If the quotient is a whole number, then 3 and 77,092,500.3333 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 | 231,277,501 | |
| -1 | -231,277,501 |
Let's try dividing by 4:
231,277,501 ÷ 4 = 57,819,375.25
If the quotient is a whole number, then 4 and 57,819,375.25 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 | 231,277,501 | |
| -1 | 231,277,501 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 49 | 67 | 91 | 469 | 637 | 871 | 3,283 | 5,419 | 6,097 | 37,933 | 42,679 | 70,447 | 265,531 | 363,073 | 493,129 | 2,541,511 | 3,451,903 | 4,719,949 | 17,790,577 | 33,039,643 | 231,277,501 |
| -1 | -7 | -13 | -49 | -67 | -91 | -469 | -637 | -871 | -3,283 | -5,419 | -6,097 | -37,933 | -42,679 | -70,447 | -265,531 | -363,073 | -493,129 | -2,541,511 | -3,451,903 | -4,719,949 | -17,790,577 | -33,039,643 | -231,277,501 |
Here are some more numbers to try:
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