A:
Positive:
1 x 1004076717 x 1434395313 x 772366791 x 1103381193 x 5202471351 x 743212509 x 400195717 x 17563
Negative:
-1 x -100407671-7 x -14343953-13 x -7723667-91 x -1103381-193 x -520247-1351 x -74321-2509 x -40019-5717 x -17563
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 100,407,671, 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 | 100,407,671 | |
| -1 | -100,407,671 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 100,407,671.
Example:
1 x 100,407,671 = 100,407,671
and
-1 x -100,407,671 = 100,407,671
Notice both answers equal 100,407,671
With that explanation out of the way, let's continue. Next, we take the number 100,407,671 and divide it by 2:
100,407,671 ÷ 2 = 50,203,835.5
If the quotient is a whole number, then 2 and 50,203,835.5 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 | 100,407,671 | |
| -1 | -100,407,671 |
Now, we try dividing 100,407,671 by 3:
100,407,671 ÷ 3 = 33,469,223.6667
If the quotient is a whole number, then 3 and 33,469,223.6667 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 | 100,407,671 | |
| -1 | -100,407,671 |
Let's try dividing by 4:
100,407,671 ÷ 4 = 25,101,917.75
If the quotient is a whole number, then 4 and 25,101,917.75 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 | 100,407,671 | |
| -1 | 100,407,671 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 91 | 193 | 1,351 | 2,509 | 5,717 | 17,563 | 40,019 | 74,321 | 520,247 | 1,103,381 | 7,723,667 | 14,343,953 | 100,407,671 |
| -1 | -7 | -13 | -91 | -193 | -1,351 | -2,509 | -5,717 | -17,563 | -40,019 | -74,321 | -520,247 | -1,103,381 | -7,723,667 | -14,343,953 | -100,407,671 |
Here are some more numbers to try:
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