A:
Positive:
1 x 1510211055 x 3020422123 x 656613547 x 3213215115 x 1313227235 x 6426431081 x 1397055405 x 27941
Negative:
-1 x -151021105-5 x -30204221-23 x -6566135-47 x -3213215-115 x -1313227-235 x -642643-1081 x -139705-5405 x -27941
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 151,021,105, 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 | 151,021,105 | |
| -1 | -151,021,105 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 151,021,105.
Example:
1 x 151,021,105 = 151,021,105
and
-1 x -151,021,105 = 151,021,105
Notice both answers equal 151,021,105
With that explanation out of the way, let's continue. Next, we take the number 151,021,105 and divide it by 2:
151,021,105 ÷ 2 = 75,510,552.5
If the quotient is a whole number, then 2 and 75,510,552.5 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 | 151,021,105 | |
| -1 | -151,021,105 |
Now, we try dividing 151,021,105 by 3:
151,021,105 ÷ 3 = 50,340,368.3333
If the quotient is a whole number, then 3 and 50,340,368.3333 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 | 151,021,105 | |
| -1 | -151,021,105 |
Let's try dividing by 4:
151,021,105 ÷ 4 = 37,755,276.25
If the quotient is a whole number, then 4 and 37,755,276.25 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 | 151,021,105 | |
| -1 | 151,021,105 |
If you did it right, you will end up with this table:
| 1 | 5 | 23 | 47 | 115 | 235 | 1,081 | 5,405 | 27,941 | 139,705 | 642,643 | 1,313,227 | 3,213,215 | 6,566,135 | 30,204,221 | 151,021,105 |
| -1 | -5 | -23 | -47 | -115 | -235 | -1,081 | -5,405 | -27,941 | -139,705 | -642,643 | -1,313,227 | -3,213,215 | -6,566,135 | -30,204,221 | -151,021,105 |
Here are some more numbers to try:
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