A:
Positive:
1 x 102252717 x 146075323 x 44457743 x 23779749 x 208679161 x 63511211 x 48461301 x 33971989 x 103391127 x 90731477 x 69232107 x 4853
Negative:
-1 x -10225271-7 x -1460753-23 x -444577-43 x -237797-49 x -208679-161 x -63511-211 x -48461-301 x -33971-989 x -10339-1127 x -9073-1477 x -6923-2107 x -4853
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 10,225,271, 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 | 10,225,271 | |
| -1 | -10,225,271 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,225,271.
Example:
1 x 10,225,271 = 10,225,271
and
-1 x -10,225,271 = 10,225,271
Notice both answers equal 10,225,271
With that explanation out of the way, let's continue. Next, we take the number 10,225,271 and divide it by 2:
10,225,271 ÷ 2 = 5,112,635.5
If the quotient is a whole number, then 2 and 5,112,635.5 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 | 10,225,271 | |
| -1 | -10,225,271 |
Now, we try dividing 10,225,271 by 3:
10,225,271 ÷ 3 = 3,408,423.6667
If the quotient is a whole number, then 3 and 3,408,423.6667 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 | 10,225,271 | |
| -1 | -10,225,271 |
Let's try dividing by 4:
10,225,271 ÷ 4 = 2,556,317.75
If the quotient is a whole number, then 4 and 2,556,317.75 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 | 10,225,271 | |
| -1 | 10,225,271 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 43 | 49 | 161 | 211 | 301 | 989 | 1,127 | 1,477 | 2,107 | 4,853 | 6,923 | 9,073 | 10,339 | 33,971 | 48,461 | 63,511 | 208,679 | 237,797 | 444,577 | 1,460,753 | 10,225,271 |
| -1 | -7 | -23 | -43 | -49 | -161 | -211 | -301 | -989 | -1,127 | -1,477 | -2,107 | -4,853 | -6,923 | -9,073 | -10,339 | -33,971 | -48,461 | -63,511 | -208,679 | -237,797 | -444,577 | -1,460,753 | -10,225,271 |
Here are some more numbers to try:
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