A:
Positive:
1 x 47025674311 x 4275061379 x 5952617127 x 3702809869 x 5411471397 x 3366194261 x 11036310033 x 46871
Negative:
-1 x -470256743-11 x -42750613-79 x -5952617-127 x -3702809-869 x -541147-1397 x -336619-4261 x -110363-10033 x -46871
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 470,256,743, 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 | 470,256,743 | |
| -1 | -470,256,743 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 470,256,743.
Example:
1 x 470,256,743 = 470,256,743
and
-1 x -470,256,743 = 470,256,743
Notice both answers equal 470,256,743
With that explanation out of the way, let's continue. Next, we take the number 470,256,743 and divide it by 2:
470,256,743 ÷ 2 = 235,128,371.5
If the quotient is a whole number, then 2 and 235,128,371.5 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 | 470,256,743 | |
| -1 | -470,256,743 |
Now, we try dividing 470,256,743 by 3:
470,256,743 ÷ 3 = 156,752,247.6667
If the quotient is a whole number, then 3 and 156,752,247.6667 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 | 470,256,743 | |
| -1 | -470,256,743 |
Let's try dividing by 4:
470,256,743 ÷ 4 = 117,564,185.75
If the quotient is a whole number, then 4 and 117,564,185.75 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 | 470,256,743 | |
| -1 | 470,256,743 |
If you did it right, you will end up with this table:
| 1 | 11 | 79 | 127 | 869 | 1,397 | 4,261 | 10,033 | 46,871 | 110,363 | 336,619 | 541,147 | 3,702,809 | 5,952,617 | 42,750,613 | 470,256,743 |
| -1 | -11 | -79 | -127 | -869 | -1,397 | -4,261 | -10,033 | -46,871 | -110,363 | -336,619 | -541,147 | -3,702,809 | -5,952,617 | -42,750,613 | -470,256,743 |
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