A:
Positive:
1 x 1201765677 x 1716808149 x 2452583101 x 1189867343 x 350369707 x 1699813469 x 346434949 x 24283
Negative:
-1 x -120176567-7 x -17168081-49 x -2452583-101 x -1189867-343 x -350369-707 x -169981-3469 x -34643-4949 x -24283
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 120,176,567, 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 | 120,176,567 | |
| -1 | -120,176,567 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 120,176,567.
Example:
1 x 120,176,567 = 120,176,567
and
-1 x -120,176,567 = 120,176,567
Notice both answers equal 120,176,567
With that explanation out of the way, let's continue. Next, we take the number 120,176,567 and divide it by 2:
120,176,567 ÷ 2 = 60,088,283.5
If the quotient is a whole number, then 2 and 60,088,283.5 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 | 120,176,567 | |
| -1 | -120,176,567 |
Now, we try dividing 120,176,567 by 3:
120,176,567 ÷ 3 = 40,058,855.6667
If the quotient is a whole number, then 3 and 40,058,855.6667 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 | 120,176,567 | |
| -1 | -120,176,567 |
Let's try dividing by 4:
120,176,567 ÷ 4 = 30,044,141.75
If the quotient is a whole number, then 4 and 30,044,141.75 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 | 120,176,567 | |
| -1 | 120,176,567 |
If you did it right, you will end up with this table:
| 1 | 7 | 49 | 101 | 343 | 707 | 3,469 | 4,949 | 24,283 | 34,643 | 169,981 | 350,369 | 1,189,867 | 2,452,583 | 17,168,081 | 120,176,567 |
| -1 | -7 | -49 | -101 | -343 | -707 | -3,469 | -4,949 | -24,283 | -34,643 | -169,981 | -350,369 | -1,189,867 | -2,452,583 | -17,168,081 | -120,176,567 |
Here are some more numbers to try:
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