A:
Positive:
1 x 1512122155 x 302424437 x 2160174511 x 1374656535 x 432034955 x 274931377 x 1963795385 x 392759
Negative:
-1 x -151212215-5 x -30242443-7 x -21601745-11 x -13746565-35 x -4320349-55 x -2749313-77 x -1963795-385 x -392759
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 151,212,215, 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 | 151,212,215 | |
| -1 | -151,212,215 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 151,212,215.
Example:
1 x 151,212,215 = 151,212,215
and
-1 x -151,212,215 = 151,212,215
Notice both answers equal 151,212,215
With that explanation out of the way, let's continue. Next, we take the number 151,212,215 and divide it by 2:
151,212,215 ÷ 2 = 75,606,107.5
If the quotient is a whole number, then 2 and 75,606,107.5 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 | 151,212,215 | |
| -1 | -151,212,215 |
Now, we try dividing 151,212,215 by 3:
151,212,215 ÷ 3 = 50,404,071.6667
If the quotient is a whole number, then 3 and 50,404,071.6667 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 | 151,212,215 | |
| -1 | -151,212,215 |
Let's try dividing by 4:
151,212,215 ÷ 4 = 37,803,053.75
If the quotient is a whole number, then 4 and 37,803,053.75 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 | 151,212,215 | |
| -1 | 151,212,215 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 11 | 35 | 55 | 77 | 385 | 392,759 | 1,963,795 | 2,749,313 | 4,320,349 | 13,746,565 | 21,601,745 | 30,242,443 | 151,212,215 |
| -1 | -5 | -7 | -11 | -35 | -55 | -77 | -385 | -392,759 | -1,963,795 | -2,749,313 | -4,320,349 | -13,746,565 | -21,601,745 | -30,242,443 | -151,212,215 |
Here are some more numbers to try:
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