Q: What are the factor combinations of the number 120,134,551?

 A:
Positive:   1 x 12013455141 x 293011167 x 1793053101 x 1189451433 x 2774472747 x 437334141 x 290116767 x 17753
Negative: -1 x -120134551-41 x -2930111-67 x -1793053-101 x -1189451-433 x -277447-2747 x -43733-4141 x -29011-6767 x -17753


How do I find the factor combinations of the number 120,134,551?

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 120,134,551, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

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.

1 120,134,551
-1 -120,134,551

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 120,134,551.

Example:
1 x 120,134,551 = 120,134,551
and
-1 x -120,134,551 = 120,134,551
Notice both answers equal 120,134,551

With that explanation out of the way, let's continue. Next, we take the number 120,134,551 and divide it by 2:

120,134,551 ÷ 2 = 60,067,275.5

If the quotient is a whole number, then 2 and 60,067,275.5 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:

1 120,134,551
-1 -120,134,551

Now, we try dividing 120,134,551 by 3:

120,134,551 ÷ 3 = 40,044,850.3333

If the quotient is a whole number, then 3 and 40,044,850.3333 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:

1 120,134,551
-1 -120,134,551

Let's try dividing by 4:

120,134,551 ÷ 4 = 30,033,637.75

If the quotient is a whole number, then 4 and 30,033,637.75 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:

1 120,134,551
-1 120,134,551
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

141671014332,7474,1416,76717,75329,01143,733277,4471,189,4511,793,0532,930,111120,134,551
-1-41-67-101-433-2,747-4,141-6,767-17,753-29,011-43,733-277,447-1,189,451-1,793,053-2,930,111-120,134,551

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