A:
Positive:
1 x 1711010217 x 2444300313 x 1316161791 x 1880231149 x 11483291043 x 1640471937 x 8833312619 x 13559
Negative:
-1 x -171101021-7 x -24443003-13 x -13161617-91 x -1880231-149 x -1148329-1043 x -164047-1937 x -88333-12619 x -13559
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 171,101,021, 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 | 171,101,021 | |
| -1 | -171,101,021 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 171,101,021.
Example:
1 x 171,101,021 = 171,101,021
and
-1 x -171,101,021 = 171,101,021
Notice both answers equal 171,101,021
With that explanation out of the way, let's continue. Next, we take the number 171,101,021 and divide it by 2:
171,101,021 ÷ 2 = 85,550,510.5
If the quotient is a whole number, then 2 and 85,550,510.5 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 | 171,101,021 | |
| -1 | -171,101,021 |
Now, we try dividing 171,101,021 by 3:
171,101,021 ÷ 3 = 57,033,673.6667
If the quotient is a whole number, then 3 and 57,033,673.6667 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 | 171,101,021 | |
| -1 | -171,101,021 |
Let's try dividing by 4:
171,101,021 ÷ 4 = 42,775,255.25
If the quotient is a whole number, then 4 and 42,775,255.25 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 | 171,101,021 | |
| -1 | 171,101,021 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 91 | 149 | 1,043 | 1,937 | 12,619 | 13,559 | 88,333 | 164,047 | 1,148,329 | 1,880,231 | 13,161,617 | 24,443,003 | 171,101,021 |
| -1 | -7 | -13 | -91 | -149 | -1,043 | -1,937 | -12,619 | -13,559 | -88,333 | -164,047 | -1,148,329 | -1,880,231 | -13,161,617 | -24,443,003 | -171,101,021 |
Here are some more numbers to try:
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