Q: What are the factor combinations of the number 32,443,523?

 A:
Positive:   1 x 324435237 x 4634789101 x 321223109 x 297647421 x 77063707 x 45889763 x 425212947 x 11009
Negative: -1 x -32443523-7 x -4634789-101 x -321223-109 x -297647-421 x -77063-707 x -45889-763 x -42521-2947 x -11009


How do I find the factor combinations of the number 32,443,523?

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 32,443,523, 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 32,443,523
-1 -32,443,523

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 32,443,523.

Example:
1 x 32,443,523 = 32,443,523
and
-1 x -32,443,523 = 32,443,523
Notice both answers equal 32,443,523

With that explanation out of the way, let's continue. Next, we take the number 32,443,523 and divide it by 2:

32,443,523 ÷ 2 = 16,221,761.5

If the quotient is a whole number, then 2 and 16,221,761.5 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 32,443,523
-1 -32,443,523

Now, we try dividing 32,443,523 by 3:

32,443,523 ÷ 3 = 10,814,507.6667

If the quotient is a whole number, then 3 and 10,814,507.6667 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 32,443,523
-1 -32,443,523

Let's try dividing by 4:

32,443,523 ÷ 4 = 8,110,880.75

If the quotient is a whole number, then 4 and 8,110,880.75 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 32,443,523
-1 32,443,523
Keep dividing by the next highest number until you cannot divide anymore.

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

171011094217077632,94711,00942,52145,88977,063297,647321,2234,634,78932,443,523
-1-7-101-109-421-707-763-2,947-11,009-42,521-45,889-77,063-297,647-321,223-4,634,789-32,443,523

More Examples

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