A:
Positive:
1 x 4204011255 x 8408022519 x 2212637525 x 1681604595 x 4425275125 x 3363209475 x 8850552375 x 177011
Negative:
-1 x -420401125-5 x -84080225-19 x -22126375-25 x -16816045-95 x -4425275-125 x -3363209-475 x -885055-2375 x -177011
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 420,401,125, 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 | 420,401,125 | |
| -1 | -420,401,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 420,401,125.
Example:
1 x 420,401,125 = 420,401,125
and
-1 x -420,401,125 = 420,401,125
Notice both answers equal 420,401,125
With that explanation out of the way, let's continue. Next, we take the number 420,401,125 and divide it by 2:
420,401,125 ÷ 2 = 210,200,562.5
If the quotient is a whole number, then 2 and 210,200,562.5 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 | 420,401,125 | |
| -1 | -420,401,125 |
Now, we try dividing 420,401,125 by 3:
420,401,125 ÷ 3 = 140,133,708.3333
If the quotient is a whole number, then 3 and 140,133,708.3333 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 | 420,401,125 | |
| -1 | -420,401,125 |
Let's try dividing by 4:
420,401,125 ÷ 4 = 105,100,281.25
If the quotient is a whole number, then 4 and 105,100,281.25 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 | 420,401,125 | |
| -1 | 420,401,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 19 | 25 | 95 | 125 | 475 | 2,375 | 177,011 | 885,055 | 3,363,209 | 4,425,275 | 16,816,045 | 22,126,375 | 84,080,225 | 420,401,125 |
| -1 | -5 | -19 | -25 | -95 | -125 | -475 | -2,375 | -177,011 | -885,055 | -3,363,209 | -4,425,275 | -16,816,045 | -22,126,375 | -84,080,225 | -420,401,125 |
Here are some more numbers to try:
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