A:
Positive:
1 x 1021017255 x 2042034511 x 928197519 x 537377525 x 408406955 x 185639595 x 1074755209 x 488525275 x 371279475 x 2149511045 x 977055225 x 19541
Negative:
-1 x -102101725-5 x -20420345-11 x -9281975-19 x -5373775-25 x -4084069-55 x -1856395-95 x -1074755-209 x -488525-275 x -371279-475 x -214951-1045 x -97705-5225 x -19541
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 102,101,725, 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 | 102,101,725 | |
| -1 | -102,101,725 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 102,101,725.
Example:
1 x 102,101,725 = 102,101,725
and
-1 x -102,101,725 = 102,101,725
Notice both answers equal 102,101,725
With that explanation out of the way, let's continue. Next, we take the number 102,101,725 and divide it by 2:
102,101,725 ÷ 2 = 51,050,862.5
If the quotient is a whole number, then 2 and 51,050,862.5 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 | 102,101,725 | |
| -1 | -102,101,725 |
Now, we try dividing 102,101,725 by 3:
102,101,725 ÷ 3 = 34,033,908.3333
If the quotient is a whole number, then 3 and 34,033,908.3333 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 | 102,101,725 | |
| -1 | -102,101,725 |
Let's try dividing by 4:
102,101,725 ÷ 4 = 25,525,431.25
If the quotient is a whole number, then 4 and 25,525,431.25 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 | 102,101,725 | |
| -1 | 102,101,725 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 19 | 25 | 55 | 95 | 209 | 275 | 475 | 1,045 | 5,225 | 19,541 | 97,705 | 214,951 | 371,279 | 488,525 | 1,074,755 | 1,856,395 | 4,084,069 | 5,373,775 | 9,281,975 | 20,420,345 | 102,101,725 |
| -1 | -5 | -11 | -19 | -25 | -55 | -95 | -209 | -275 | -475 | -1,045 | -5,225 | -19,541 | -97,705 | -214,951 | -371,279 | -488,525 | -1,074,755 | -1,856,395 | -4,084,069 | -5,373,775 | -9,281,975 | -20,420,345 | -102,101,725 |
Here are some more numbers to try:
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