A:
Positive:
1 x 42143212111 x 3831201143 x 9800747241 x 1748681473 x 8909772651 x 1589713697 x 11399310363 x 40667
Negative:
-1 x -421432121-11 x -38312011-43 x -9800747-241 x -1748681-473 x -890977-2651 x -158971-3697 x -113993-10363 x -40667
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 421,432,121, 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 | 421,432,121 | |
| -1 | -421,432,121 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 421,432,121.
Example:
1 x 421,432,121 = 421,432,121
and
-1 x -421,432,121 = 421,432,121
Notice both answers equal 421,432,121
With that explanation out of the way, let's continue. Next, we take the number 421,432,121 and divide it by 2:
421,432,121 ÷ 2 = 210,716,060.5
If the quotient is a whole number, then 2 and 210,716,060.5 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 | 421,432,121 | |
| -1 | -421,432,121 |
Now, we try dividing 421,432,121 by 3:
421,432,121 ÷ 3 = 140,477,373.6667
If the quotient is a whole number, then 3 and 140,477,373.6667 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 | 421,432,121 | |
| -1 | -421,432,121 |
Let's try dividing by 4:
421,432,121 ÷ 4 = 105,358,030.25
If the quotient is a whole number, then 4 and 105,358,030.25 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 | 421,432,121 | |
| -1 | 421,432,121 |
If you did it right, you will end up with this table:
| 1 | 11 | 43 | 241 | 473 | 2,651 | 3,697 | 10,363 | 40,667 | 113,993 | 158,971 | 890,977 | 1,748,681 | 9,800,747 | 38,312,011 | 421,432,121 |
| -1 | -11 | -43 | -241 | -473 | -2,651 | -3,697 | -10,363 | -40,667 | -113,993 | -158,971 | -890,977 | -1,748,681 | -9,800,747 | -38,312,011 | -421,432,121 |
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