Q: What are the factor combinations of the number 120,202,531?

 A:
Positive:   1 x 12020253119 x 632644923 x 522619731 x 3877501361 x 332971437 x 275063467 x 257393589 x 204079713 x 1685878303 x 144778873 x 1354710741 x 11191
Negative: -1 x -120202531-19 x -6326449-23 x -5226197-31 x -3877501-361 x -332971-437 x -275063-467 x -257393-589 x -204079-713 x -168587-8303 x -14477-8873 x -13547-10741 x -11191


How do I find the factor combinations of the number 120,202,531?

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 120,202,531, 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.

1 120,202,531
-1 -120,202,531

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 120,202,531.

Example:
1 x 120,202,531 = 120,202,531
and
-1 x -120,202,531 = 120,202,531
Notice both answers equal 120,202,531

With that explanation out of the way, let's continue. Next, we take the number 120,202,531 and divide it by 2:

120,202,531 ÷ 2 = 60,101,265.5

If the quotient is a whole number, then 2 and 60,101,265.5 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:

1 120,202,531
-1 -120,202,531

Now, we try dividing 120,202,531 by 3:

120,202,531 ÷ 3 = 40,067,510.3333

If the quotient is a whole number, then 3 and 40,067,510.3333 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:

1 120,202,531
-1 -120,202,531

Let's try dividing by 4:

120,202,531 ÷ 4 = 30,050,632.75

If the quotient is a whole number, then 4 and 30,050,632.75 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:

1 120,202,531
-1 120,202,531
Keep dividing by the next highest number until you cannot divide anymore.

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

11923313614374675897138,3038,87310,74111,19113,54714,477168,587204,079257,393275,063332,9713,877,5015,226,1976,326,449120,202,531
-1-19-23-31-361-437-467-589-713-8,303-8,873-10,741-11,191-13,547-14,477-168,587-204,079-257,393-275,063-332,971-3,877,501-5,226,197-6,326,449-120,202,531

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 120,202,531:


Ask a Question