A:
Positive:
1 x 46623435111 x 4238494171 x 6566681223 x 2090737781 x 5969712453 x 1900672677 x 17416315833 x 29447
Negative:
-1 x -466234351-11 x -42384941-71 x -6566681-223 x -2090737-781 x -596971-2453 x -190067-2677 x -174163-15833 x -29447
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 466,234,351, 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 | 466,234,351 | |
| -1 | -466,234,351 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 466,234,351.
Example:
1 x 466,234,351 = 466,234,351
and
-1 x -466,234,351 = 466,234,351
Notice both answers equal 466,234,351
With that explanation out of the way, let's continue. Next, we take the number 466,234,351 and divide it by 2:
466,234,351 ÷ 2 = 233,117,175.5
If the quotient is a whole number, then 2 and 233,117,175.5 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 | 466,234,351 | |
| -1 | -466,234,351 |
Now, we try dividing 466,234,351 by 3:
466,234,351 ÷ 3 = 155,411,450.3333
If the quotient is a whole number, then 3 and 155,411,450.3333 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 | 466,234,351 | |
| -1 | -466,234,351 |
Let's try dividing by 4:
466,234,351 ÷ 4 = 116,558,587.75
If the quotient is a whole number, then 4 and 116,558,587.75 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 | 466,234,351 | |
| -1 | 466,234,351 |
If you did it right, you will end up with this table:
| 1 | 11 | 71 | 223 | 781 | 2,453 | 2,677 | 15,833 | 29,447 | 174,163 | 190,067 | 596,971 | 2,090,737 | 6,566,681 | 42,384,941 | 466,234,351 |
| -1 | -11 | -71 | -223 | -781 | -2,453 | -2,677 | -15,833 | -29,447 | -174,163 | -190,067 | -596,971 | -2,090,737 | -6,566,681 | -42,384,941 | -466,234,351 |
Here are some more numbers to try:
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