A:
Positive:
1 x 46587580119 x 2451977971 x 6561631281 x 16579211229 x 3790691349 x 3453495339 x 8725919951 x 23351
Negative:
-1 x -465875801-19 x -24519779-71 x -6561631-281 x -1657921-1229 x -379069-1349 x -345349-5339 x -87259-19951 x -23351
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 465,875,801, 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 | 465,875,801 | |
| -1 | -465,875,801 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 465,875,801.
Example:
1 x 465,875,801 = 465,875,801
and
-1 x -465,875,801 = 465,875,801
Notice both answers equal 465,875,801
With that explanation out of the way, let's continue. Next, we take the number 465,875,801 and divide it by 2:
465,875,801 ÷ 2 = 232,937,900.5
If the quotient is a whole number, then 2 and 232,937,900.5 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 | 465,875,801 | |
| -1 | -465,875,801 |
Now, we try dividing 465,875,801 by 3:
465,875,801 ÷ 3 = 155,291,933.6667
If the quotient is a whole number, then 3 and 155,291,933.6667 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 | 465,875,801 | |
| -1 | -465,875,801 |
Let's try dividing by 4:
465,875,801 ÷ 4 = 116,468,950.25
If the quotient is a whole number, then 4 and 116,468,950.25 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 | 465,875,801 | |
| -1 | 465,875,801 |
If you did it right, you will end up with this table:
| 1 | 19 | 71 | 281 | 1,229 | 1,349 | 5,339 | 19,951 | 23,351 | 87,259 | 345,349 | 379,069 | 1,657,921 | 6,561,631 | 24,519,779 | 465,875,801 |
| -1 | -19 | -71 | -281 | -1,229 | -1,349 | -5,339 | -19,951 | -23,351 | -87,259 | -345,349 | -379,069 | -1,657,921 | -6,561,631 | -24,519,779 | -465,875,801 |
Here are some more numbers to try:
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