A:
Positive:
1 x 2341434655 x 4682869317 x 1377314531 x 755301585 x 2754629155 x 1510603289 x 810185527 x 4442951445 x 1620372635 x 888595227 x 447958959 x 26135
Negative:
-1 x -234143465-5 x -46828693-17 x -13773145-31 x -7553015-85 x -2754629-155 x -1510603-289 x -810185-527 x -444295-1445 x -162037-2635 x -88859-5227 x -44795-8959 x -26135
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 234,143,465, 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 | 234,143,465 | |
| -1 | -234,143,465 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 234,143,465.
Example:
1 x 234,143,465 = 234,143,465
and
-1 x -234,143,465 = 234,143,465
Notice both answers equal 234,143,465
With that explanation out of the way, let's continue. Next, we take the number 234,143,465 and divide it by 2:
234,143,465 ÷ 2 = 117,071,732.5
If the quotient is a whole number, then 2 and 117,071,732.5 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 | 234,143,465 | |
| -1 | -234,143,465 |
Now, we try dividing 234,143,465 by 3:
234,143,465 ÷ 3 = 78,047,821.6667
If the quotient is a whole number, then 3 and 78,047,821.6667 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 | 234,143,465 | |
| -1 | -234,143,465 |
Let's try dividing by 4:
234,143,465 ÷ 4 = 58,535,866.25
If the quotient is a whole number, then 4 and 58,535,866.25 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 | 234,143,465 | |
| -1 | 234,143,465 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 31 | 85 | 155 | 289 | 527 | 1,445 | 2,635 | 5,227 | 8,959 | 26,135 | 44,795 | 88,859 | 162,037 | 444,295 | 810,185 | 1,510,603 | 2,754,629 | 7,553,015 | 13,773,145 | 46,828,693 | 234,143,465 |
| -1 | -5 | -17 | -31 | -85 | -155 | -289 | -527 | -1,445 | -2,635 | -5,227 | -8,959 | -26,135 | -44,795 | -88,859 | -162,037 | -444,295 | -810,185 | -1,510,603 | -2,754,629 | -7,553,015 | -13,773,145 | -46,828,693 | -234,143,465 |
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