A:
Positive:
1 x 100321155 x 200642329 x 34593543 x 233305145 x 69187215 x 466611247 x 80451609 x 6235
Negative:
-1 x -10032115-5 x -2006423-29 x -345935-43 x -233305-145 x -69187-215 x -46661-1247 x -8045-1609 x -6235
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 10,032,115, 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 | 10,032,115 | |
| -1 | -10,032,115 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,032,115.
Example:
1 x 10,032,115 = 10,032,115
and
-1 x -10,032,115 = 10,032,115
Notice both answers equal 10,032,115
With that explanation out of the way, let's continue. Next, we take the number 10,032,115 and divide it by 2:
10,032,115 ÷ 2 = 5,016,057.5
If the quotient is a whole number, then 2 and 5,016,057.5 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 | 10,032,115 | |
| -1 | -10,032,115 |
Now, we try dividing 10,032,115 by 3:
10,032,115 ÷ 3 = 3,344,038.3333
If the quotient is a whole number, then 3 and 3,344,038.3333 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 | 10,032,115 | |
| -1 | -10,032,115 |
Let's try dividing by 4:
10,032,115 ÷ 4 = 2,508,028.75
If the quotient is a whole number, then 4 and 2,508,028.75 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 | 10,032,115 | |
| -1 | 10,032,115 |
If you did it right, you will end up with this table:
| 1 | 5 | 29 | 43 | 145 | 215 | 1,247 | 1,609 | 6,235 | 8,045 | 46,661 | 69,187 | 233,305 | 345,935 | 2,006,423 | 10,032,115 |
| -1 | -5 | -29 | -43 | -145 | -215 | -1,247 | -1,609 | -6,235 | -8,045 | -46,661 | -69,187 | -233,305 | -345,935 | -2,006,423 | -10,032,115 |
Here are some more numbers to try:
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