Q: What are the factor combinations of the number 120,143,327?

 A:
Positive:   1 x 12014332719 x 632333347 x 255624173 x 164579997 x 1238591361 x 332807893 x 1345391387 x 866211843 x 651893431 x 350174559 x 263537081 x 16967
Negative: -1 x -120143327-19 x -6323333-47 x -2556241-73 x -1645799-97 x -1238591-361 x -332807-893 x -134539-1387 x -86621-1843 x -65189-3431 x -35017-4559 x -26353-7081 x -16967


How do I find the factor combinations of the number 120,143,327?

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 120,143,327, 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.

1 120,143,327
-1 -120,143,327

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 120,143,327.

Example:
1 x 120,143,327 = 120,143,327
and
-1 x -120,143,327 = 120,143,327
Notice both answers equal 120,143,327

With that explanation out of the way, let's continue. Next, we take the number 120,143,327 and divide it by 2:

120,143,327 ÷ 2 = 60,071,663.5

If the quotient is a whole number, then 2 and 60,071,663.5 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:

1 120,143,327
-1 -120,143,327

Now, we try dividing 120,143,327 by 3:

120,143,327 ÷ 3 = 40,047,775.6667

If the quotient is a whole number, then 3 and 40,047,775.6667 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:

1 120,143,327
-1 -120,143,327

Let's try dividing by 4:

120,143,327 ÷ 4 = 30,035,831.75

If the quotient is a whole number, then 4 and 30,035,831.75 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:

1 120,143,327
-1 120,143,327
Keep dividing by the next highest number until you cannot divide anymore.

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

1194773973618931,3871,8433,4314,5597,08116,96726,35335,01765,18986,621134,539332,8071,238,5911,645,7992,556,2416,323,333120,143,327
-1-19-47-73-97-361-893-1,387-1,843-3,431-4,559-7,081-16,967-26,353-35,017-65,189-86,621-134,539-332,807-1,238,591-1,645,799-2,556,241-6,323,333-120,143,327

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 120,143,327:


Ask a Question