A:
Positive:
1 x 1727533017 x 2467904319 x 9092279133 x 1298897137 x 1260973361 x 478541499 x 346199959 x 1801392527 x 683632603 x 663673493 x 494579481 x 18221
Negative:
-1 x -172753301-7 x -24679043-19 x -9092279-133 x -1298897-137 x -1260973-361 x -478541-499 x -346199-959 x -180139-2527 x -68363-2603 x -66367-3493 x -49457-9481 x -18221
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 172,753,301, 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 | 172,753,301 | |
| -1 | -172,753,301 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 172,753,301.
Example:
1 x 172,753,301 = 172,753,301
and
-1 x -172,753,301 = 172,753,301
Notice both answers equal 172,753,301
With that explanation out of the way, let's continue. Next, we take the number 172,753,301 and divide it by 2:
172,753,301 ÷ 2 = 86,376,650.5
If the quotient is a whole number, then 2 and 86,376,650.5 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 | 172,753,301 | |
| -1 | -172,753,301 |
Now, we try dividing 172,753,301 by 3:
172,753,301 ÷ 3 = 57,584,433.6667
If the quotient is a whole number, then 3 and 57,584,433.6667 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 | 172,753,301 | |
| -1 | -172,753,301 |
Let's try dividing by 4:
172,753,301 ÷ 4 = 43,188,325.25
If the quotient is a whole number, then 4 and 43,188,325.25 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 | 172,753,301 | |
| -1 | 172,753,301 |
If you did it right, you will end up with this table:
| 1 | 7 | 19 | 133 | 137 | 361 | 499 | 959 | 2,527 | 2,603 | 3,493 | 9,481 | 18,221 | 49,457 | 66,367 | 68,363 | 180,139 | 346,199 | 478,541 | 1,260,973 | 1,298,897 | 9,092,279 | 24,679,043 | 172,753,301 |
| -1 | -7 | -19 | -133 | -137 | -361 | -499 | -959 | -2,527 | -2,603 | -3,493 | -9,481 | -18,221 | -49,457 | -66,367 | -68,363 | -180,139 | -346,199 | -478,541 | -1,260,973 | -1,298,897 | -9,092,279 | -24,679,043 | -172,753,301 |
Here are some more numbers to try:
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