A:
Positive:
1 x 4015006255 x 8030012525 x 16060025125 x 3212005569 x 705625625 x 6424011129 x 3556252845 x 1411255645 x 7112514225 x 28225
Negative:
-1 x -401500625-5 x -80300125-25 x -16060025-125 x -3212005-569 x -705625-625 x -642401-1129 x -355625-2845 x -141125-5645 x -71125-14225 x -28225
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 401,500,625, 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 | 401,500,625 | |
| -1 | -401,500,625 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 401,500,625.
Example:
1 x 401,500,625 = 401,500,625
and
-1 x -401,500,625 = 401,500,625
Notice both answers equal 401,500,625
With that explanation out of the way, let's continue. Next, we take the number 401,500,625 and divide it by 2:
401,500,625 ÷ 2 = 200,750,312.5
If the quotient is a whole number, then 2 and 200,750,312.5 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 | 401,500,625 | |
| -1 | -401,500,625 |
Now, we try dividing 401,500,625 by 3:
401,500,625 ÷ 3 = 133,833,541.6667
If the quotient is a whole number, then 3 and 133,833,541.6667 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 | 401,500,625 | |
| -1 | -401,500,625 |
Let's try dividing by 4:
401,500,625 ÷ 4 = 100,375,156.25
If the quotient is a whole number, then 4 and 100,375,156.25 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 | 401,500,625 | |
| -1 | 401,500,625 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 125 | 569 | 625 | 1,129 | 2,845 | 5,645 | 14,225 | 28,225 | 71,125 | 141,125 | 355,625 | 642,401 | 705,625 | 3,212,005 | 16,060,025 | 80,300,125 | 401,500,625 |
| -1 | -5 | -25 | -125 | -569 | -625 | -1,129 | -2,845 | -5,645 | -14,225 | -28,225 | -71,125 | -141,125 | -355,625 | -642,401 | -705,625 | -3,212,005 | -16,060,025 | -80,300,125 | -401,500,625 |
Here are some more numbers to try:
Try the factor calculator