A:
Positive:
1 x 100003155 x 200006313 x 76925565 x 153851137 x 72995685 x 145991123 x 89051781 x 5615
Negative:
-1 x -10000315-5 x -2000063-13 x -769255-65 x -153851-137 x -72995-685 x -14599-1123 x -8905-1781 x -5615
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 10,000,315, 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 | 10,000,315 | |
| -1 | -10,000,315 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,000,315.
Example:
1 x 10,000,315 = 10,000,315
and
-1 x -10,000,315 = 10,000,315
Notice both answers equal 10,000,315
With that explanation out of the way, let's continue. Next, we take the number 10,000,315 and divide it by 2:
10,000,315 ÷ 2 = 5,000,157.5
If the quotient is a whole number, then 2 and 5,000,157.5 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 | 10,000,315 | |
| -1 | -10,000,315 |
Now, we try dividing 10,000,315 by 3:
10,000,315 ÷ 3 = 3,333,438.3333
If the quotient is a whole number, then 3 and 3,333,438.3333 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 | 10,000,315 | |
| -1 | -10,000,315 |
Let's try dividing by 4:
10,000,315 ÷ 4 = 2,500,078.75
If the quotient is a whole number, then 4 and 2,500,078.75 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 | 10,000,315 | |
| -1 | 10,000,315 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 65 | 137 | 685 | 1,123 | 1,781 | 5,615 | 8,905 | 14,599 | 72,995 | 153,851 | 769,255 | 2,000,063 | 10,000,315 |
| -1 | -5 | -13 | -65 | -137 | -685 | -1,123 | -1,781 | -5,615 | -8,905 | -14,599 | -72,995 | -153,851 | -769,255 | -2,000,063 | -10,000,315 |
Here are some more numbers to try:
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