A:
Positive:
1 x 1665355255 x 3330710513 x 1281042523 x 724067525 x 666142165 x 2562085115 x 1448135299 x 556975325 x 512417575 x 2896271495 x 1113957475 x 22279
Negative:
-1 x -166535525-5 x -33307105-13 x -12810425-23 x -7240675-25 x -6661421-65 x -2562085-115 x -1448135-299 x -556975-325 x -512417-575 x -289627-1495 x -111395-7475 x -22279
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 166,535,525, 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 | 166,535,525 | |
| -1 | -166,535,525 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 166,535,525.
Example:
1 x 166,535,525 = 166,535,525
and
-1 x -166,535,525 = 166,535,525
Notice both answers equal 166,535,525
With that explanation out of the way, let's continue. Next, we take the number 166,535,525 and divide it by 2:
166,535,525 ÷ 2 = 83,267,762.5
If the quotient is a whole number, then 2 and 83,267,762.5 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 | 166,535,525 | |
| -1 | -166,535,525 |
Now, we try dividing 166,535,525 by 3:
166,535,525 ÷ 3 = 55,511,841.6667
If the quotient is a whole number, then 3 and 55,511,841.6667 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 | 166,535,525 | |
| -1 | -166,535,525 |
Let's try dividing by 4:
166,535,525 ÷ 4 = 41,633,881.25
If the quotient is a whole number, then 4 and 41,633,881.25 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 | 166,535,525 | |
| -1 | 166,535,525 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 23 | 25 | 65 | 115 | 299 | 325 | 575 | 1,495 | 7,475 | 22,279 | 111,395 | 289,627 | 512,417 | 556,975 | 1,448,135 | 2,562,085 | 6,661,421 | 7,240,675 | 12,810,425 | 33,307,105 | 166,535,525 |
| -1 | -5 | -13 | -23 | -25 | -65 | -115 | -299 | -325 | -575 | -1,495 | -7,475 | -22,279 | -111,395 | -289,627 | -512,417 | -556,975 | -1,448,135 | -2,562,085 | -6,661,421 | -7,240,675 | -12,810,425 | -33,307,105 | -166,535,525 |
Here are some more numbers to try:
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