A:
Positive:
1 x 4021530055 x 8043060129 x 13867345145 x 2773469523 x 7689352615 x 1537875303 x 7583515167 x 26515
Negative:
-1 x -402153005-5 x -80430601-29 x -13867345-145 x -2773469-523 x -768935-2615 x -153787-5303 x -75835-15167 x -26515
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 402,153,005, 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 | 402,153,005 | |
| -1 | -402,153,005 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 402,153,005.
Example:
1 x 402,153,005 = 402,153,005
and
-1 x -402,153,005 = 402,153,005
Notice both answers equal 402,153,005
With that explanation out of the way, let's continue. Next, we take the number 402,153,005 and divide it by 2:
402,153,005 ÷ 2 = 201,076,502.5
If the quotient is a whole number, then 2 and 201,076,502.5 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 | 402,153,005 | |
| -1 | -402,153,005 |
Now, we try dividing 402,153,005 by 3:
402,153,005 ÷ 3 = 134,051,001.6667
If the quotient is a whole number, then 3 and 134,051,001.6667 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 | 402,153,005 | |
| -1 | -402,153,005 |
Let's try dividing by 4:
402,153,005 ÷ 4 = 100,538,251.25
If the quotient is a whole number, then 4 and 100,538,251.25 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 | 402,153,005 | |
| -1 | 402,153,005 |
If you did it right, you will end up with this table:
| 1 | 5 | 29 | 145 | 523 | 2,615 | 5,303 | 15,167 | 26,515 | 75,835 | 153,787 | 768,935 | 2,773,469 | 13,867,345 | 80,430,601 | 402,153,005 |
| -1 | -5 | -29 | -145 | -523 | -2,615 | -5,303 | -15,167 | -26,515 | -75,835 | -153,787 | -768,935 | -2,773,469 | -13,867,345 | -80,430,601 | -402,153,005 |
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