A:
Positive:
1 x 4644146717 x 6634495329 x 16014299203 x 2287757223 x 20825771561 x 2975116467 x 7181310259 x 45269
Negative:
-1 x -464414671-7 x -66344953-29 x -16014299-203 x -2287757-223 x -2082577-1561 x -297511-6467 x -71813-10259 x -45269
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 464,414,671, 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 | 464,414,671 | |
| -1 | -464,414,671 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 464,414,671.
Example:
1 x 464,414,671 = 464,414,671
and
-1 x -464,414,671 = 464,414,671
Notice both answers equal 464,414,671
With that explanation out of the way, let's continue. Next, we take the number 464,414,671 and divide it by 2:
464,414,671 ÷ 2 = 232,207,335.5
If the quotient is a whole number, then 2 and 232,207,335.5 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 | 464,414,671 | |
| -1 | -464,414,671 |
Now, we try dividing 464,414,671 by 3:
464,414,671 ÷ 3 = 154,804,890.3333
If the quotient is a whole number, then 3 and 154,804,890.3333 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 | 464,414,671 | |
| -1 | -464,414,671 |
Let's try dividing by 4:
464,414,671 ÷ 4 = 116,103,667.75
If the quotient is a whole number, then 4 and 116,103,667.75 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 | 464,414,671 | |
| -1 | 464,414,671 |
If you did it right, you will end up with this table:
| 1 | 7 | 29 | 203 | 223 | 1,561 | 6,467 | 10,259 | 45,269 | 71,813 | 297,511 | 2,082,577 | 2,287,757 | 16,014,299 | 66,344,953 | 464,414,671 |
| -1 | -7 | -29 | -203 | -223 | -1,561 | -6,467 | -10,259 | -45,269 | -71,813 | -297,511 | -2,082,577 | -2,287,757 | -16,014,299 | -66,344,953 | -464,414,671 |
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