A:
Positive:
1 x 4661305677 x 66590081167 x 2791201181 x 25753071169 x 3987431267 x 3679012203 x 21158915421 x 30227
Negative:
-1 x -466130567-7 x -66590081-167 x -2791201-181 x -2575307-1169 x -398743-1267 x -367901-2203 x -211589-15421 x -30227
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 466,130,567, 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 | 466,130,567 | |
| -1 | -466,130,567 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 466,130,567.
Example:
1 x 466,130,567 = 466,130,567
and
-1 x -466,130,567 = 466,130,567
Notice both answers equal 466,130,567
With that explanation out of the way, let's continue. Next, we take the number 466,130,567 and divide it by 2:
466,130,567 ÷ 2 = 233,065,283.5
If the quotient is a whole number, then 2 and 233,065,283.5 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 | 466,130,567 | |
| -1 | -466,130,567 |
Now, we try dividing 466,130,567 by 3:
466,130,567 ÷ 3 = 155,376,855.6667
If the quotient is a whole number, then 3 and 155,376,855.6667 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 | 466,130,567 | |
| -1 | -466,130,567 |
Let's try dividing by 4:
466,130,567 ÷ 4 = 116,532,641.75
If the quotient is a whole number, then 4 and 116,532,641.75 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 | 466,130,567 | |
| -1 | 466,130,567 |
If you did it right, you will end up with this table:
| 1 | 7 | 167 | 181 | 1,169 | 1,267 | 2,203 | 15,421 | 30,227 | 211,589 | 367,901 | 398,743 | 2,575,307 | 2,791,201 | 66,590,081 | 466,130,567 |
| -1 | -7 | -167 | -181 | -1,169 | -1,267 | -2,203 | -15,421 | -30,227 | -211,589 | -367,901 | -398,743 | -2,575,307 | -2,791,201 | -66,590,081 | -466,130,567 |
Here are some more numbers to try:
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