A:
Positive:
1 x 4051453155 x 8102906367 x 6046945335 x 1209389379 x 10689851895 x 2137973191 x 12696515955 x 25393
Negative:
-1 x -405145315-5 x -81029063-67 x -6046945-335 x -1209389-379 x -1068985-1895 x -213797-3191 x -126965-15955 x -25393
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 405,145,315, 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 | 405,145,315 | |
| -1 | -405,145,315 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 405,145,315.
Example:
1 x 405,145,315 = 405,145,315
and
-1 x -405,145,315 = 405,145,315
Notice both answers equal 405,145,315
With that explanation out of the way, let's continue. Next, we take the number 405,145,315 and divide it by 2:
405,145,315 ÷ 2 = 202,572,657.5
If the quotient is a whole number, then 2 and 202,572,657.5 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 | 405,145,315 | |
| -1 | -405,145,315 |
Now, we try dividing 405,145,315 by 3:
405,145,315 ÷ 3 = 135,048,438.3333
If the quotient is a whole number, then 3 and 135,048,438.3333 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 | 405,145,315 | |
| -1 | -405,145,315 |
Let's try dividing by 4:
405,145,315 ÷ 4 = 101,286,328.75
If the quotient is a whole number, then 4 and 101,286,328.75 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 | 405,145,315 | |
| -1 | 405,145,315 |
If you did it right, you will end up with this table:
| 1 | 5 | 67 | 335 | 379 | 1,895 | 3,191 | 15,955 | 25,393 | 126,965 | 213,797 | 1,068,985 | 1,209,389 | 6,046,945 | 81,029,063 | 405,145,315 |
| -1 | -5 | -67 | -335 | -379 | -1,895 | -3,191 | -15,955 | -25,393 | -126,965 | -213,797 | -1,068,985 | -1,209,389 | -6,046,945 | -81,029,063 | -405,145,315 |
Here are some more numbers to try:
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