A:
Positive:
1 x 1721413155 x 3442826323 x 7484405115 x 1496881433 x 3975552165 x 795113457 x 497959959 x 17285
Negative:
-1 x -172141315-5 x -34428263-23 x -7484405-115 x -1496881-433 x -397555-2165 x -79511-3457 x -49795-9959 x -17285
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 172,141,315, 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 | 172,141,315 | |
| -1 | -172,141,315 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 172,141,315.
Example:
1 x 172,141,315 = 172,141,315
and
-1 x -172,141,315 = 172,141,315
Notice both answers equal 172,141,315
With that explanation out of the way, let's continue. Next, we take the number 172,141,315 and divide it by 2:
172,141,315 ÷ 2 = 86,070,657.5
If the quotient is a whole number, then 2 and 86,070,657.5 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 | 172,141,315 | |
| -1 | -172,141,315 |
Now, we try dividing 172,141,315 by 3:
172,141,315 ÷ 3 = 57,380,438.3333
If the quotient is a whole number, then 3 and 57,380,438.3333 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 | 172,141,315 | |
| -1 | -172,141,315 |
Let's try dividing by 4:
172,141,315 ÷ 4 = 43,035,328.75
If the quotient is a whole number, then 4 and 43,035,328.75 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 | 172,141,315 | |
| -1 | 172,141,315 |
If you did it right, you will end up with this table:
| 1 | 5 | 23 | 115 | 433 | 2,165 | 3,457 | 9,959 | 17,285 | 49,795 | 79,511 | 397,555 | 1,496,881 | 7,484,405 | 34,428,263 | 172,141,315 |
| -1 | -5 | -23 | -115 | -433 | -2,165 | -3,457 | -9,959 | -17,285 | -49,795 | -79,511 | -397,555 | -1,496,881 | -7,484,405 | -34,428,263 | -172,141,315 |
Here are some more numbers to try:
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