A:
Positive:
1 x 13217410137 x 357227359 x 2240239191 x 692011317 x 4169532183 x 605477067 x 1870311269 x 11729
Negative:
-1 x -132174101-37 x -3572273-59 x -2240239-191 x -692011-317 x -416953-2183 x -60547-7067 x -18703-11269 x -11729
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 132,174,101, 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 | 132,174,101 | |
| -1 | -132,174,101 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 132,174,101.
Example:
1 x 132,174,101 = 132,174,101
and
-1 x -132,174,101 = 132,174,101
Notice both answers equal 132,174,101
With that explanation out of the way, let's continue. Next, we take the number 132,174,101 and divide it by 2:
132,174,101 ÷ 2 = 66,087,050.5
If the quotient is a whole number, then 2 and 66,087,050.5 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 | 132,174,101 | |
| -1 | -132,174,101 |
Now, we try dividing 132,174,101 by 3:
132,174,101 ÷ 3 = 44,058,033.6667
If the quotient is a whole number, then 3 and 44,058,033.6667 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 | 132,174,101 | |
| -1 | -132,174,101 |
Let's try dividing by 4:
132,174,101 ÷ 4 = 33,043,525.25
If the quotient is a whole number, then 4 and 33,043,525.25 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 | 132,174,101 | |
| -1 | 132,174,101 |
If you did it right, you will end up with this table:
| 1 | 37 | 59 | 191 | 317 | 2,183 | 7,067 | 11,269 | 11,729 | 18,703 | 60,547 | 416,953 | 692,011 | 2,240,239 | 3,572,273 | 132,174,101 |
| -1 | -37 | -59 | -191 | -317 | -2,183 | -7,067 | -11,269 | -11,729 | -18,703 | -60,547 | -416,953 | -692,011 | -2,240,239 | -3,572,273 | -132,174,101 |
Here are some more numbers to try:
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