A:
Positive:
1 x 17214076113 x 1324159737 x 4652453167 x 1030783481 x 3578812143 x 803272171 x 792916179 x 27859
Negative:
-1 x -172140761-13 x -13241597-37 x -4652453-167 x -1030783-481 x -357881-2143 x -80327-2171 x -79291-6179 x -27859
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 172,140,761, 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 | 172,140,761 | |
| -1 | -172,140,761 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 172,140,761.
Example:
1 x 172,140,761 = 172,140,761
and
-1 x -172,140,761 = 172,140,761
Notice both answers equal 172,140,761
With that explanation out of the way, let's continue. Next, we take the number 172,140,761 and divide it by 2:
172,140,761 ÷ 2 = 86,070,380.5
If the quotient is a whole number, then 2 and 86,070,380.5 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 | 172,140,761 | |
| -1 | -172,140,761 |
Now, we try dividing 172,140,761 by 3:
172,140,761 ÷ 3 = 57,380,253.6667
If the quotient is a whole number, then 3 and 57,380,253.6667 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 | 172,140,761 | |
| -1 | -172,140,761 |
Let's try dividing by 4:
172,140,761 ÷ 4 = 43,035,190.25
If the quotient is a whole number, then 4 and 43,035,190.25 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 | 172,140,761 | |
| -1 | 172,140,761 |
If you did it right, you will end up with this table:
| 1 | 13 | 37 | 167 | 481 | 2,143 | 2,171 | 6,179 | 27,859 | 79,291 | 80,327 | 357,881 | 1,030,783 | 4,652,453 | 13,241,597 | 172,140,761 |
| -1 | -13 | -37 | -167 | -481 | -2,143 | -2,171 | -6,179 | -27,859 | -79,291 | -80,327 | -357,881 | -1,030,783 | -4,652,453 | -13,241,597 | -172,140,761 |
Here are some more numbers to try:
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