A:
Positive:
1 x 42012220913 x 3231709323 x 18266183299 x 1405091373 x 11263333767 x 1115274849 x 866418579 x 48971
Negative:
-1 x -420122209-13 x -32317093-23 x -18266183-299 x -1405091-373 x -1126333-3767 x -111527-4849 x -86641-8579 x -48971
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 420,122,209, 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 | 420,122,209 | |
| -1 | -420,122,209 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 420,122,209.
Example:
1 x 420,122,209 = 420,122,209
and
-1 x -420,122,209 = 420,122,209
Notice both answers equal 420,122,209
With that explanation out of the way, let's continue. Next, we take the number 420,122,209 and divide it by 2:
420,122,209 ÷ 2 = 210,061,104.5
If the quotient is a whole number, then 2 and 210,061,104.5 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 | 420,122,209 | |
| -1 | -420,122,209 |
Now, we try dividing 420,122,209 by 3:
420,122,209 ÷ 3 = 140,040,736.3333
If the quotient is a whole number, then 3 and 140,040,736.3333 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 | 420,122,209 | |
| -1 | -420,122,209 |
Let's try dividing by 4:
420,122,209 ÷ 4 = 105,030,552.25
If the quotient is a whole number, then 4 and 105,030,552.25 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 | 420,122,209 | |
| -1 | 420,122,209 |
If you did it right, you will end up with this table:
| 1 | 13 | 23 | 299 | 373 | 3,767 | 4,849 | 8,579 | 48,971 | 86,641 | 111,527 | 1,126,333 | 1,405,091 | 18,266,183 | 32,317,093 | 420,122,209 |
| -1 | -13 | -23 | -299 | -373 | -3,767 | -4,849 | -8,579 | -48,971 | -86,641 | -111,527 | -1,126,333 | -1,405,091 | -18,266,183 | -32,317,093 | -420,122,209 |
Here are some more numbers to try:
Try the factor calculator