Q: What are the factor combinations of the number 32,625,005?

 A:
Positive:   1 x 326250055 x 65250017 x 466071535 x 932143541 x 603051723 x 189352705 x 120613787 x 8615
Negative: -1 x -32625005-5 x -6525001-7 x -4660715-35 x -932143-541 x -60305-1723 x -18935-2705 x -12061-3787 x -8615


How do I find the factor combinations of the number 32,625,005?

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 32,625,005, 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 32,625,005
-1 -32,625,005

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 32,625,005.

Example:
1 x 32,625,005 = 32,625,005
and
-1 x -32,625,005 = 32,625,005
Notice both answers equal 32,625,005

With that explanation out of the way, let's continue. Next, we take the number 32,625,005 and divide it by 2:

32,625,005 ÷ 2 = 16,312,502.5

If the quotient is a whole number, then 2 and 16,312,502.5 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 32,625,005
-1 -32,625,005

Now, we try dividing 32,625,005 by 3:

32,625,005 ÷ 3 = 10,875,001.6667

If the quotient is a whole number, then 3 and 10,875,001.6667 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 32,625,005
-1 -32,625,005

Let's try dividing by 4:

32,625,005 ÷ 4 = 8,156,251.25

If the quotient is a whole number, then 4 and 8,156,251.25 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 32,625,005
-1 32,625,005
Keep dividing by the next highest number until you cannot divide anymore.

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

157355411,7232,7053,7878,61512,06118,93560,305932,1434,660,7156,525,00132,625,005
-1-5-7-35-541-1,723-2,705-3,787-8,615-12,061-18,935-60,305-932,143-4,660,715-6,525,001-32,625,005

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