A:
Positive:
1 x 3126333655 x 6252667311 x 2842121523 x 1359275555 x 5684243115 x 2718551253 x 12357051265 x 247141
Negative:
-1 x -312633365-5 x -62526673-11 x -28421215-23 x -13592755-55 x -5684243-115 x -2718551-253 x -1235705-1265 x -247141
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 312,633,365, 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 | 312,633,365 | |
| -1 | -312,633,365 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 312,633,365.
Example:
1 x 312,633,365 = 312,633,365
and
-1 x -312,633,365 = 312,633,365
Notice both answers equal 312,633,365
With that explanation out of the way, let's continue. Next, we take the number 312,633,365 and divide it by 2:
312,633,365 ÷ 2 = 156,316,682.5
If the quotient is a whole number, then 2 and 156,316,682.5 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 | 312,633,365 | |
| -1 | -312,633,365 |
Now, we try dividing 312,633,365 by 3:
312,633,365 ÷ 3 = 104,211,121.6667
If the quotient is a whole number, then 3 and 104,211,121.6667 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 | 312,633,365 | |
| -1 | -312,633,365 |
Let's try dividing by 4:
312,633,365 ÷ 4 = 78,158,341.25
If the quotient is a whole number, then 4 and 78,158,341.25 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 | 312,633,365 | |
| -1 | 312,633,365 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 23 | 55 | 115 | 253 | 1,265 | 247,141 | 1,235,705 | 2,718,551 | 5,684,243 | 13,592,755 | 28,421,215 | 62,526,673 | 312,633,365 |
| -1 | -5 | -11 | -23 | -55 | -115 | -253 | -1,265 | -247,141 | -1,235,705 | -2,718,551 | -5,684,243 | -13,592,755 | -28,421,215 | -62,526,673 | -312,633,365 |
Here are some more numbers to try:
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