A:
Positive:
1 x 101354055 x 20270817 x 144791535 x 28958341 x 24720549 x 206845205 x 49441245 x 41369287 x 353151009 x 100451435 x 70632009 x 5045
Negative:
-1 x -10135405-5 x -2027081-7 x -1447915-35 x -289583-41 x -247205-49 x -206845-205 x -49441-245 x -41369-287 x -35315-1009 x -10045-1435 x -7063-2009 x -5045
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 10,135,405, 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 | 10,135,405 | |
| -1 | -10,135,405 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,135,405.
Example:
1 x 10,135,405 = 10,135,405
and
-1 x -10,135,405 = 10,135,405
Notice both answers equal 10,135,405
With that explanation out of the way, let's continue. Next, we take the number 10,135,405 and divide it by 2:
10,135,405 ÷ 2 = 5,067,702.5
If the quotient is a whole number, then 2 and 5,067,702.5 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 | 10,135,405 | |
| -1 | -10,135,405 |
Now, we try dividing 10,135,405 by 3:
10,135,405 ÷ 3 = 3,378,468.3333
If the quotient is a whole number, then 3 and 3,378,468.3333 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 | 10,135,405 | |
| -1 | -10,135,405 |
Let's try dividing by 4:
10,135,405 ÷ 4 = 2,533,851.25
If the quotient is a whole number, then 4 and 2,533,851.25 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 | 10,135,405 | |
| -1 | 10,135,405 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 41 | 49 | 205 | 245 | 287 | 1,009 | 1,435 | 2,009 | 5,045 | 7,063 | 10,045 | 35,315 | 41,369 | 49,441 | 206,845 | 247,205 | 289,583 | 1,447,915 | 2,027,081 | 10,135,405 |
| -1 | -5 | -7 | -35 | -41 | -49 | -205 | -245 | -287 | -1,009 | -1,435 | -2,009 | -5,045 | -7,063 | -10,045 | -35,315 | -41,369 | -49,441 | -206,845 | -247,205 | -289,583 | -1,447,915 | -2,027,081 | -10,135,405 |
Here are some more numbers to try:
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