A:
Positive:
1 x 100152255 x 200304511 x 91047525 x 40060955 x 18209579 x 126775275 x 36419395 x 25355461 x 21725869 x 115251975 x 50712305 x 4345
Negative:
-1 x -10015225-5 x -2003045-11 x -910475-25 x -400609-55 x -182095-79 x -126775-275 x -36419-395 x -25355-461 x -21725-869 x -11525-1975 x -5071-2305 x -4345
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 10,015,225, 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 | 10,015,225 | |
| -1 | -10,015,225 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,015,225.
Example:
1 x 10,015,225 = 10,015,225
and
-1 x -10,015,225 = 10,015,225
Notice both answers equal 10,015,225
With that explanation out of the way, let's continue. Next, we take the number 10,015,225 and divide it by 2:
10,015,225 ÷ 2 = 5,007,612.5
If the quotient is a whole number, then 2 and 5,007,612.5 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 | 10,015,225 | |
| -1 | -10,015,225 |
Now, we try dividing 10,015,225 by 3:
10,015,225 ÷ 3 = 3,338,408.3333
If the quotient is a whole number, then 3 and 3,338,408.3333 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 | 10,015,225 | |
| -1 | -10,015,225 |
Let's try dividing by 4:
10,015,225 ÷ 4 = 2,503,806.25
If the quotient is a whole number, then 4 and 2,503,806.25 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 | 10,015,225 | |
| -1 | 10,015,225 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 25 | 55 | 79 | 275 | 395 | 461 | 869 | 1,975 | 2,305 | 4,345 | 5,071 | 11,525 | 21,725 | 25,355 | 36,419 | 126,775 | 182,095 | 400,609 | 910,475 | 2,003,045 | 10,015,225 |
| -1 | -5 | -11 | -25 | -55 | -79 | -275 | -395 | -461 | -869 | -1,975 | -2,305 | -4,345 | -5,071 | -11,525 | -21,725 | -25,355 | -36,419 | -126,775 | -182,095 | -400,609 | -910,475 | -2,003,045 | -10,015,225 |
Here are some more numbers to try:
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