A:
Positive:
1 x 1510221237 x 2157458937 x 408167959 x 2559697259 x 583097413 x 3656712183 x 691819883 x 15281
Negative:
-1 x -151022123-7 x -21574589-37 x -4081679-59 x -2559697-259 x -583097-413 x -365671-2183 x -69181-9883 x -15281
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 151,022,123, 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 | 151,022,123 | |
| -1 | -151,022,123 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 151,022,123.
Example:
1 x 151,022,123 = 151,022,123
and
-1 x -151,022,123 = 151,022,123
Notice both answers equal 151,022,123
With that explanation out of the way, let's continue. Next, we take the number 151,022,123 and divide it by 2:
151,022,123 ÷ 2 = 75,511,061.5
If the quotient is a whole number, then 2 and 75,511,061.5 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 | 151,022,123 | |
| -1 | -151,022,123 |
Now, we try dividing 151,022,123 by 3:
151,022,123 ÷ 3 = 50,340,707.6667
If the quotient is a whole number, then 3 and 50,340,707.6667 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 | 151,022,123 | |
| -1 | -151,022,123 |
Let's try dividing by 4:
151,022,123 ÷ 4 = 37,755,530.75
If the quotient is a whole number, then 4 and 37,755,530.75 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 | 151,022,123 | |
| -1 | 151,022,123 |
If you did it right, you will end up with this table:
| 1 | 7 | 37 | 59 | 259 | 413 | 2,183 | 9,883 | 15,281 | 69,181 | 365,671 | 583,097 | 2,559,697 | 4,081,679 | 21,574,589 | 151,022,123 |
| -1 | -7 | -37 | -59 | -259 | -413 | -2,183 | -9,883 | -15,281 | -69,181 | -365,671 | -583,097 | -2,559,697 | -4,081,679 | -21,574,589 | -151,022,123 |
Here are some more numbers to try:
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