Q: What are the factor combinations of the number 32,367,601?

 A:
Positive:   1 x 323676017 x 462394323 x 1407287127 x 254863161 x 201041889 x 364091583 x 204472921 x 11081
Negative: -1 x -32367601-7 x -4623943-23 x -1407287-127 x -254863-161 x -201041-889 x -36409-1583 x -20447-2921 x -11081


How do I find the factor combinations of the number 32,367,601?

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 32,367,601, 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 32,367,601
-1 -32,367,601

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 32,367,601.

Example:
1 x 32,367,601 = 32,367,601
and
-1 x -32,367,601 = 32,367,601
Notice both answers equal 32,367,601

With that explanation out of the way, let's continue. Next, we take the number 32,367,601 and divide it by 2:

32,367,601 ÷ 2 = 16,183,800.5

If the quotient is a whole number, then 2 and 16,183,800.5 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 32,367,601
-1 -32,367,601

Now, we try dividing 32,367,601 by 3:

32,367,601 ÷ 3 = 10,789,200.3333

If the quotient is a whole number, then 3 and 10,789,200.3333 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 32,367,601
-1 -32,367,601

Let's try dividing by 4:

32,367,601 ÷ 4 = 8,091,900.25

If the quotient is a whole number, then 4 and 8,091,900.25 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 32,367,601
-1 32,367,601
Keep dividing by the next highest number until you cannot divide anymore.

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

17231271618891,5832,92111,08120,44736,409201,041254,8631,407,2874,623,94332,367,601
-1-7-23-127-161-889-1,583-2,921-11,081-20,447-36,409-201,041-254,863-1,407,287-4,623,943-32,367,601

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