A:
Positive:
1 x 4661014617 x 6658592317 x 2741773331 x 15035531119 x 3916819217 x 2147933527 x 8844433689 x 126349
Negative:
-1 x -466101461-7 x -66585923-17 x -27417733-31 x -15035531-119 x -3916819-217 x -2147933-527 x -884443-3689 x -126349
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 466,101,461, 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 | 466,101,461 | |
| -1 | -466,101,461 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 466,101,461.
Example:
1 x 466,101,461 = 466,101,461
and
-1 x -466,101,461 = 466,101,461
Notice both answers equal 466,101,461
With that explanation out of the way, let's continue. Next, we take the number 466,101,461 and divide it by 2:
466,101,461 ÷ 2 = 233,050,730.5
If the quotient is a whole number, then 2 and 233,050,730.5 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 | 466,101,461 | |
| -1 | -466,101,461 |
Now, we try dividing 466,101,461 by 3:
466,101,461 ÷ 3 = 155,367,153.6667
If the quotient is a whole number, then 3 and 155,367,153.6667 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 | 466,101,461 | |
| -1 | -466,101,461 |
Let's try dividing by 4:
466,101,461 ÷ 4 = 116,525,365.25
If the quotient is a whole number, then 4 and 116,525,365.25 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 | 466,101,461 | |
| -1 | 466,101,461 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 31 | 119 | 217 | 527 | 3,689 | 126,349 | 884,443 | 2,147,933 | 3,916,819 | 15,035,531 | 27,417,733 | 66,585,923 | 466,101,461 |
| -1 | -7 | -17 | -31 | -119 | -217 | -527 | -3,689 | -126,349 | -884,443 | -2,147,933 | -3,916,819 | -15,035,531 | -27,417,733 | -66,585,923 | -466,101,461 |
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