A:
Positive:
1 x 1540125237 x 2200178941 x 3756403137 x 1124179287 x 536629959 x 1605973917 x 393195617 x 27419
Negative:
-1 x -154012523-7 x -22001789-41 x -3756403-137 x -1124179-287 x -536629-959 x -160597-3917 x -39319-5617 x -27419
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 154,012,523, 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 | 154,012,523 | |
| -1 | -154,012,523 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 154,012,523.
Example:
1 x 154,012,523 = 154,012,523
and
-1 x -154,012,523 = 154,012,523
Notice both answers equal 154,012,523
With that explanation out of the way, let's continue. Next, we take the number 154,012,523 and divide it by 2:
154,012,523 ÷ 2 = 77,006,261.5
If the quotient is a whole number, then 2 and 77,006,261.5 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 | 154,012,523 | |
| -1 | -154,012,523 |
Now, we try dividing 154,012,523 by 3:
154,012,523 ÷ 3 = 51,337,507.6667
If the quotient is a whole number, then 3 and 51,337,507.6667 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 | 154,012,523 | |
| -1 | -154,012,523 |
Let's try dividing by 4:
154,012,523 ÷ 4 = 38,503,130.75
If the quotient is a whole number, then 4 and 38,503,130.75 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 | 154,012,523 | |
| -1 | 154,012,523 |
If you did it right, you will end up with this table:
| 1 | 7 | 41 | 137 | 287 | 959 | 3,917 | 5,617 | 27,419 | 39,319 | 160,597 | 536,629 | 1,124,179 | 3,756,403 | 22,001,789 | 154,012,523 |
| -1 | -7 | -41 | -137 | -287 | -959 | -3,917 | -5,617 | -27,419 | -39,319 | -160,597 | -536,629 | -1,124,179 | -3,756,403 | -22,001,789 | -154,012,523 |
Here are some more numbers to try:
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