A:
Positive:
1 x 100051155 x 200102319 x 52658523 x 43500595 x 105317115 x 87001241 x 41515361 x 27715437 x 228951205 x 83031805 x 55432185 x 4579
Negative:
-1 x -10005115-5 x -2001023-19 x -526585-23 x -435005-95 x -105317-115 x -87001-241 x -41515-361 x -27715-437 x -22895-1205 x -8303-1805 x -5543-2185 x -4579
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 10,005,115, 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 | 10,005,115 | |
| -1 | -10,005,115 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,005,115.
Example:
1 x 10,005,115 = 10,005,115
and
-1 x -10,005,115 = 10,005,115
Notice both answers equal 10,005,115
With that explanation out of the way, let's continue. Next, we take the number 10,005,115 and divide it by 2:
10,005,115 ÷ 2 = 5,002,557.5
If the quotient is a whole number, then 2 and 5,002,557.5 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 | 10,005,115 | |
| -1 | -10,005,115 |
Now, we try dividing 10,005,115 by 3:
10,005,115 ÷ 3 = 3,335,038.3333
If the quotient is a whole number, then 3 and 3,335,038.3333 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 | 10,005,115 | |
| -1 | -10,005,115 |
Let's try dividing by 4:
10,005,115 ÷ 4 = 2,501,278.75
If the quotient is a whole number, then 4 and 2,501,278.75 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 | 10,005,115 | |
| -1 | 10,005,115 |
If you did it right, you will end up with this table:
| 1 | 5 | 19 | 23 | 95 | 115 | 241 | 361 | 437 | 1,205 | 1,805 | 2,185 | 4,579 | 5,543 | 8,303 | 22,895 | 27,715 | 41,515 | 87,001 | 105,317 | 435,005 | 526,585 | 2,001,023 | 10,005,115 |
| -1 | -5 | -19 | -23 | -95 | -115 | -241 | -361 | -437 | -1,205 | -1,805 | -2,185 | -4,579 | -5,543 | -8,303 | -22,895 | -27,715 | -41,515 | -87,001 | -105,317 | -435,005 | -526,585 | -2,001,023 | -10,005,115 |
Here are some more numbers to try:
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