A:
Positive:
1 x 369002155 x 738004311 x 335456555 x 670913263 x 1403051315 x 280612551 x 144652893 x 12755
Negative:
-1 x -36900215-5 x -7380043-11 x -3354565-55 x -670913-263 x -140305-1315 x -28061-2551 x -14465-2893 x -12755
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 36,900,215, 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 | 36,900,215 | |
| -1 | -36,900,215 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 36,900,215.
Example:
1 x 36,900,215 = 36,900,215
and
-1 x -36,900,215 = 36,900,215
Notice both answers equal 36,900,215
With that explanation out of the way, let's continue. Next, we take the number 36,900,215 and divide it by 2:
36,900,215 ÷ 2 = 18,450,107.5
If the quotient is a whole number, then 2 and 18,450,107.5 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 | 36,900,215 | |
| -1 | -36,900,215 |
Now, we try dividing 36,900,215 by 3:
36,900,215 ÷ 3 = 12,300,071.6667
If the quotient is a whole number, then 3 and 12,300,071.6667 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 | 36,900,215 | |
| -1 | -36,900,215 |
Let's try dividing by 4:
36,900,215 ÷ 4 = 9,225,053.75
If the quotient is a whole number, then 4 and 9,225,053.75 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 | 36,900,215 | |
| -1 | 36,900,215 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 55 | 263 | 1,315 | 2,551 | 2,893 | 12,755 | 14,465 | 28,061 | 140,305 | 670,913 | 3,354,565 | 7,380,043 | 36,900,215 |
| -1 | -5 | -11 | -55 | -263 | -1,315 | -2,551 | -2,893 | -12,755 | -14,465 | -28,061 | -140,305 | -670,913 | -3,354,565 | -7,380,043 | -36,900,215 |
Here are some more numbers to try:
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