A:
Positive:
1 x 17252500111 x 1568409123 x 7501087253 x 681917389 x 4435091753 x 984174279 x 403198947 x 19283
Negative:
-1 x -172525001-11 x -15684091-23 x -7501087-253 x -681917-389 x -443509-1753 x -98417-4279 x -40319-8947 x -19283
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 172,525,001, 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 | 172,525,001 | |
| -1 | -172,525,001 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 172,525,001.
Example:
1 x 172,525,001 = 172,525,001
and
-1 x -172,525,001 = 172,525,001
Notice both answers equal 172,525,001
With that explanation out of the way, let's continue. Next, we take the number 172,525,001 and divide it by 2:
172,525,001 ÷ 2 = 86,262,500.5
If the quotient is a whole number, then 2 and 86,262,500.5 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 | 172,525,001 | |
| -1 | -172,525,001 |
Now, we try dividing 172,525,001 by 3:
172,525,001 ÷ 3 = 57,508,333.6667
If the quotient is a whole number, then 3 and 57,508,333.6667 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 | 172,525,001 | |
| -1 | -172,525,001 |
Let's try dividing by 4:
172,525,001 ÷ 4 = 43,131,250.25
If the quotient is a whole number, then 4 and 43,131,250.25 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 | 172,525,001 | |
| -1 | 172,525,001 |
If you did it right, you will end up with this table:
| 1 | 11 | 23 | 253 | 389 | 1,753 | 4,279 | 8,947 | 19,283 | 40,319 | 98,417 | 443,509 | 681,917 | 7,501,087 | 15,684,091 | 172,525,001 |
| -1 | -11 | -23 | -253 | -389 | -1,753 | -4,279 | -8,947 | -19,283 | -40,319 | -98,417 | -443,509 | -681,917 | -7,501,087 | -15,684,091 | -172,525,001 |
Here are some more numbers to try:
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