A:
Positive:
1 x 4014671355 x 8029342743 x 9336445215 x 1867289293 x 13701951465 x 2740396373 x 6299512599 x 31865
Negative:
-1 x -401467135-5 x -80293427-43 x -9336445-215 x -1867289-293 x -1370195-1465 x -274039-6373 x -62995-12599 x -31865
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 401,467,135, 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 | 401,467,135 | |
| -1 | -401,467,135 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 401,467,135.
Example:
1 x 401,467,135 = 401,467,135
and
-1 x -401,467,135 = 401,467,135
Notice both answers equal 401,467,135
With that explanation out of the way, let's continue. Next, we take the number 401,467,135 and divide it by 2:
401,467,135 ÷ 2 = 200,733,567.5
If the quotient is a whole number, then 2 and 200,733,567.5 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 | 401,467,135 | |
| -1 | -401,467,135 |
Now, we try dividing 401,467,135 by 3:
401,467,135 ÷ 3 = 133,822,378.3333
If the quotient is a whole number, then 3 and 133,822,378.3333 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 | 401,467,135 | |
| -1 | -401,467,135 |
Let's try dividing by 4:
401,467,135 ÷ 4 = 100,366,783.75
If the quotient is a whole number, then 4 and 100,366,783.75 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 | 401,467,135 | |
| -1 | 401,467,135 |
If you did it right, you will end up with this table:
| 1 | 5 | 43 | 215 | 293 | 1,465 | 6,373 | 12,599 | 31,865 | 62,995 | 274,039 | 1,370,195 | 1,867,289 | 9,336,445 | 80,293,427 | 401,467,135 |
| -1 | -5 | -43 | -215 | -293 | -1,465 | -6,373 | -12,599 | -31,865 | -62,995 | -274,039 | -1,370,195 | -1,867,289 | -9,336,445 | -80,293,427 | -401,467,135 |
Here are some more numbers to try:
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