A:
Positive:
1 x 1026262517 x 1466089313 x 789432743 x 238665791 x 1127761301 x 340951559 x 1835893913 x 26227
Negative:
-1 x -102626251-7 x -14660893-13 x -7894327-43 x -2386657-91 x -1127761-301 x -340951-559 x -183589-3913 x -26227
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 102,626,251, 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 | 102,626,251 | |
| -1 | -102,626,251 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 102,626,251.
Example:
1 x 102,626,251 = 102,626,251
and
-1 x -102,626,251 = 102,626,251
Notice both answers equal 102,626,251
With that explanation out of the way, let's continue. Next, we take the number 102,626,251 and divide it by 2:
102,626,251 ÷ 2 = 51,313,125.5
If the quotient is a whole number, then 2 and 51,313,125.5 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 | 102,626,251 | |
| -1 | -102,626,251 |
Now, we try dividing 102,626,251 by 3:
102,626,251 ÷ 3 = 34,208,750.3333
If the quotient is a whole number, then 3 and 34,208,750.3333 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 | 102,626,251 | |
| -1 | -102,626,251 |
Let's try dividing by 4:
102,626,251 ÷ 4 = 25,656,562.75
If the quotient is a whole number, then 4 and 25,656,562.75 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 | 102,626,251 | |
| -1 | 102,626,251 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 43 | 91 | 301 | 559 | 3,913 | 26,227 | 183,589 | 340,951 | 1,127,761 | 2,386,657 | 7,894,327 | 14,660,893 | 102,626,251 |
| -1 | -7 | -13 | -43 | -91 | -301 | -559 | -3,913 | -26,227 | -183,589 | -340,951 | -1,127,761 | -2,386,657 | -7,894,327 | -14,660,893 | -102,626,251 |
Here are some more numbers to try:
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