Q: What are the factor combinations of the number 32,130,125?

 A:
Positive:   1 x 321301255 x 642602525 x 1285205125 x 257041401 x 80125641 x 501252005 x 160253205 x 10025
Negative: -1 x -32130125-5 x -6426025-25 x -1285205-125 x -257041-401 x -80125-641 x -50125-2005 x -16025-3205 x -10025


How do I find the factor combinations of the number 32,130,125?

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 32,130,125, 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 32,130,125
-1 -32,130,125

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 32,130,125.

Example:
1 x 32,130,125 = 32,130,125
and
-1 x -32,130,125 = 32,130,125
Notice both answers equal 32,130,125

With that explanation out of the way, let's continue. Next, we take the number 32,130,125 and divide it by 2:

32,130,125 ÷ 2 = 16,065,062.5

If the quotient is a whole number, then 2 and 16,065,062.5 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 32,130,125
-1 -32,130,125

Now, we try dividing 32,130,125 by 3:

32,130,125 ÷ 3 = 10,710,041.6667

If the quotient is a whole number, then 3 and 10,710,041.6667 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 32,130,125
-1 -32,130,125

Let's try dividing by 4:

32,130,125 ÷ 4 = 8,032,531.25

If the quotient is a whole number, then 4 and 8,032,531.25 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 32,130,125
-1 32,130,125
Keep dividing by the next highest number until you cannot divide anymore.

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

15251254016412,0053,20510,02516,02550,12580,125257,0411,285,2056,426,02532,130,125
-1-5-25-125-401-641-2,005-3,205-10,025-16,025-50,125-80,125-257,041-1,285,205-6,426,025-32,130,125

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 32,130,125:


Ask a Question