A:
Positive:
1 x 4654245055 x 930849017 x 6648921513 x 3580188535 x 1329784365 x 716037791 x 5114555455 x 1022911
Negative:
-1 x -465424505-5 x -93084901-7 x -66489215-13 x -35801885-35 x -13297843-65 x -7160377-91 x -5114555-455 x -1022911
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 465,424,505, 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 | 465,424,505 | |
| -1 | -465,424,505 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 465,424,505.
Example:
1 x 465,424,505 = 465,424,505
and
-1 x -465,424,505 = 465,424,505
Notice both answers equal 465,424,505
With that explanation out of the way, let's continue. Next, we take the number 465,424,505 and divide it by 2:
465,424,505 ÷ 2 = 232,712,252.5
If the quotient is a whole number, then 2 and 232,712,252.5 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 | 465,424,505 | |
| -1 | -465,424,505 |
Now, we try dividing 465,424,505 by 3:
465,424,505 ÷ 3 = 155,141,501.6667
If the quotient is a whole number, then 3 and 155,141,501.6667 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 | 465,424,505 | |
| -1 | -465,424,505 |
Let's try dividing by 4:
465,424,505 ÷ 4 = 116,356,126.25
If the quotient is a whole number, then 4 and 116,356,126.25 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 | 465,424,505 | |
| -1 | 465,424,505 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 13 | 35 | 65 | 91 | 455 | 1,022,911 | 5,114,555 | 7,160,377 | 13,297,843 | 35,801,885 | 66,489,215 | 93,084,901 | 465,424,505 |
| -1 | -5 | -7 | -13 | -35 | -65 | -91 | -455 | -1,022,911 | -5,114,555 | -7,160,377 | -13,297,843 | -35,801,885 | -66,489,215 | -93,084,901 | -465,424,505 |
Here are some more numbers to try:
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