A:
Positive:
1 x 351641297 x 502344711 x 319673913 x 270493377 x 45667791 x 386419143 x 2459031001 x 35129
Negative:
-1 x -35164129-7 x -5023447-11 x -3196739-13 x -2704933-77 x -456677-91 x -386419-143 x -245903-1001 x -35129
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 35,164,129, 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 | 35,164,129 | |
| -1 | -35,164,129 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 35,164,129.
Example:
1 x 35,164,129 = 35,164,129
and
-1 x -35,164,129 = 35,164,129
Notice both answers equal 35,164,129
With that explanation out of the way, let's continue. Next, we take the number 35,164,129 and divide it by 2:
35,164,129 ÷ 2 = 17,582,064.5
If the quotient is a whole number, then 2 and 17,582,064.5 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 | 35,164,129 | |
| -1 | -35,164,129 |
Now, we try dividing 35,164,129 by 3:
35,164,129 ÷ 3 = 11,721,376.3333
If the quotient is a whole number, then 3 and 11,721,376.3333 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 | 35,164,129 | |
| -1 | -35,164,129 |
Let's try dividing by 4:
35,164,129 ÷ 4 = 8,791,032.25
If the quotient is a whole number, then 4 and 8,791,032.25 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 | 35,164,129 | |
| -1 | 35,164,129 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 13 | 77 | 91 | 143 | 1,001 | 35,129 | 245,903 | 386,419 | 456,677 | 2,704,933 | 3,196,739 | 5,023,447 | 35,164,129 |
| -1 | -7 | -11 | -13 | -77 | -91 | -143 | -1,001 | -35,129 | -245,903 | -386,419 | -456,677 | -2,704,933 | -3,196,739 | -5,023,447 | -35,164,129 |
Here are some more numbers to try:
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