A:
Positive:
1 x 12015331123 x 522405767 x 1793333103 x 1166537757 x 1587231541 x 779712369 x 507196901 x 17411
Negative:
-1 x -120153311-23 x -5224057-67 x -1793333-103 x -1166537-757 x -158723-1541 x -77971-2369 x -50719-6901 x -17411
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 120,153,311, 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 | 120,153,311 | |
| -1 | -120,153,311 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 120,153,311.
Example:
1 x 120,153,311 = 120,153,311
and
-1 x -120,153,311 = 120,153,311
Notice both answers equal 120,153,311
With that explanation out of the way, let's continue. Next, we take the number 120,153,311 and divide it by 2:
120,153,311 ÷ 2 = 60,076,655.5
If the quotient is a whole number, then 2 and 60,076,655.5 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 | 120,153,311 | |
| -1 | -120,153,311 |
Now, we try dividing 120,153,311 by 3:
120,153,311 ÷ 3 = 40,051,103.6667
If the quotient is a whole number, then 3 and 40,051,103.6667 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 | 120,153,311 | |
| -1 | -120,153,311 |
Let's try dividing by 4:
120,153,311 ÷ 4 = 30,038,327.75
If the quotient is a whole number, then 4 and 30,038,327.75 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 | 120,153,311 | |
| -1 | 120,153,311 |
If you did it right, you will end up with this table:
| 1 | 23 | 67 | 103 | 757 | 1,541 | 2,369 | 6,901 | 17,411 | 50,719 | 77,971 | 158,723 | 1,166,537 | 1,793,333 | 5,224,057 | 120,153,311 |
| -1 | -23 | -67 | -103 | -757 | -1,541 | -2,369 | -6,901 | -17,411 | -50,719 | -77,971 | -158,723 | -1,166,537 | -1,793,333 | -5,224,057 | -120,153,311 |
Here are some more numbers to try:
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